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2026-01-01
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2026-02-28
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<p>Last updated on<strong>September 9, 2025</strong></p>
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<p>Last updated on<strong>September 9, 2025</strong></p>
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<p>The mathematical operation of finding the difference between two fractions with different denominators is known as the subtraction of unlike fractions. It helps simplify expressions and solve problems that involve fractions with different denominators.</p>
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<p>The mathematical operation of finding the difference between two fractions with different denominators is known as the subtraction of unlike fractions. It helps simplify expressions and solve problems that involve fractions with different denominators.</p>
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<h2>What is Subtraction of Unlike Fractions?</h2>
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<h2>What is Subtraction of Unlike Fractions?</h2>
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<p>Subtracting<a>unlike fractions</a>involves finding a<a>common denominator</a>and converting the fractions to<a>equivalent fractions</a>with this common denominator. Once the fractions have the same denominator, the<a>numerators</a>can be subtracted directly. The process involves three main components: </p>
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<p>Subtracting<a>unlike fractions</a>involves finding a<a>common denominator</a>and converting the fractions to<a>equivalent fractions</a>with this common denominator. Once the fractions have the same denominator, the<a>numerators</a>can be subtracted directly. The process involves three main components: </p>
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<p>Numerators: These are the top<a>numbers</a>of fractions. </p>
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<p>Numerators: These are the top<a>numbers</a>of fractions. </p>
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<p>Denominators: These are the bottom numbers of fractions. -</p>
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<p>Denominators: These are the bottom numbers of fractions. -</p>
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<p>Operators: For<a>subtraction</a>, the operator is the minus (-)<a>symbol</a>.</p>
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<p>Operators: For<a>subtraction</a>, the operator is the minus (-)<a>symbol</a>.</p>
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<h2>How to do Subtraction of Unlike Fractions?</h2>
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<h2>How to do Subtraction of Unlike Fractions?</h2>
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<p>When subtracting unlike<a>fractions</a>, students should follow these steps:</p>
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<p>When subtracting unlike<a>fractions</a>, students should follow these steps:</p>
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<p>1. Find a common<a>denominator</a>: Determine the<a>least common multiple</a>(LCM) of the denominators.</p>
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<p>1. Find a common<a>denominator</a>: Determine the<a>least common multiple</a>(LCM) of the denominators.</p>
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<p>2. Convert to equivalent fractions: Adjust the fractions so they have the same denominator.</p>
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<p>2. Convert to equivalent fractions: Adjust the fractions so they have the same denominator.</p>
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<p>3. Subtract the numerators: Subtract the numerators while keeping the common denominator.</p>
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<p>3. Subtract the numerators: Subtract the numerators while keeping the common denominator.</p>
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<p>4. Simplify the result: Reduce the fraction to its simplest form, if possible.</p>
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<p>4. Simplify the result: Reduce the fraction to its simplest form, if possible.</p>
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<h2>Methods to do Subtraction of Unlike Fractions</h2>
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<h2>Methods to do Subtraction of Unlike Fractions</h2>
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<p>The following are the methods for subtracting unlike fractions: -</p>
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<p>The following are the methods for subtracting unlike fractions: -</p>
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<h3>Method 1: Common Denominator Method</h3>
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<h3>Method 1: Common Denominator Method</h3>
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<p>Step 1: Identify the<a>least common denominator</a>(LCD) of the fractions.</p>
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<p>Step 1: Identify the<a>least common denominator</a>(LCD) of the fractions.</p>
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<p>Step 2: Convert each fraction to an equivalent fraction with the LCD.</p>
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<p>Step 2: Convert each fraction to an equivalent fraction with the LCD.</p>
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<p>Step 3: Subtract the numerators and retain the common denominator.</p>
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<p>Step 3: Subtract the numerators and retain the common denominator.</p>
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<p>Example: Subtract 1/3 from 5/4</p>
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<p>Example: Subtract 1/3 from 5/4</p>
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<p>Step 1: LCD of 3 and 4 is 12.</p>
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<p>Step 1: LCD of 3 and 4 is 12.</p>
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<p>Step 2: Convert 1/3 to 4/12 and 5/4 to 15/12.</p>
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<p>Step 2: Convert 1/3 to 4/12 and 5/4 to 15/12.</p>
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<p>Step 3: Subtract: 15/12 - 4/12 = 11/12.</p>
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<p>Step 3: Subtract: 15/12 - 4/12 = 11/12.</p>
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<p>Answer: 11/12 </p>
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<p>Answer: 11/12 </p>
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<h3>Method 2: Cross Multiplication Method</h3>
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<h3>Method 2: Cross Multiplication Method</h3>
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<p>This method involves using<a>cross multiplication</a>to find a common denominator and directly computing the difference.</p>
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<p>This method involves using<a>cross multiplication</a>to find a common denominator and directly computing the difference.</p>
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<p>Example: Subtract 2/5 from 3/7</p>
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<p>Example: Subtract 2/5 from 3/7</p>
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<p>Solution: Cross multiply: (3 * 5) - (2 * 7) = 15 - 14 = 1.</p>
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<p>Solution: Cross multiply: (3 * 5) - (2 * 7) = 15 - 14 = 1.</p>
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<p>Common denominator: 5 * 7 = 35.</p>
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<p>Common denominator: 5 * 7 = 35.</p>
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<p>Result: 1/35.</p>
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<p>Result: 1/35.</p>
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<p>Therefore, the result of the subtraction is 1/35.</p>
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<p>Therefore, the result of the subtraction is 1/35.</p>
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<h2>Properties of Subtraction of Unlike Fractions</h2>
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<h2>Properties of Subtraction of Unlike Fractions</h2>
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<p>In fraction subtraction, there are some characteristic properties. These properties are listed below: -</p>
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<p>In fraction subtraction, there are some characteristic properties. These properties are listed below: -</p>
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<ul><li>Subtraction is not commutative: Changing the order of the fractions changes the result, i.e., A/B - C/D ≠ C/D - A/B. </li>
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<ul><li>Subtraction is not commutative: Changing the order of the fractions changes the result, i.e., A/B - C/D ≠ C/D - A/B. </li>
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</ul><ul><li>Subtraction is not associative: Unlike<a>addition</a>, regrouping<a>terms</a>in subtraction changes the result. </li>
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</ul><ul><li>Subtraction is not associative: Unlike<a>addition</a>, regrouping<a>terms</a>in subtraction changes the result. </li>
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</ul><ul><li>Subtraction involves finding a common denominator: To make subtraction easier, fractions are converted to have a common denominator. </li>
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</ul><ul><li>Subtraction involves finding a common denominator: To make subtraction easier, fractions are converted to have a common denominator. </li>
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</ul><ul><li>Subtracting zero leaves the fraction unchanged: Subtracting zero from a fraction gives the same fraction: A/B - 0 = A/B.</li>
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</ul><ul><li>Subtracting zero leaves the fraction unchanged: Subtracting zero from a fraction gives the same fraction: A/B - 0 = A/B.</li>
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</ul><h2>Tips and Tricks for Subtraction of Unlike Fractions</h2>
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</ul><h2>Tips and Tricks for Subtraction of Unlike Fractions</h2>
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<p>Tips and tricks are useful for students to efficiently handle the subtraction of unlike fractions. Some helpful tips are listed below: </p>
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<p>Tips and tricks are useful for students to efficiently handle the subtraction of unlike fractions. Some helpful tips are listed below: </p>
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<p>Tip 1: Always find the least common denominator to make calculations simpler. </p>
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<p>Tip 1: Always find the least common denominator to make calculations simpler. </p>
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<p>Tip 2: Simplify fractions whenever possible to make subtraction easier. </p>
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<p>Tip 2: Simplify fractions whenever possible to make subtraction easier. </p>
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<p>Tip 3: Using visual aids<a>like fraction</a>strips can help beginners understand the subtraction process better.</p>
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<p>Tip 3: Using visual aids<a>like fraction</a>strips can help beginners understand the subtraction process better.</p>
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<h2>Ignoring the need for a common denominator</h2>
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<h2>Ignoring the need for a common denominator</h2>
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<p>Students often try to subtract fractions directly without finding a common denominator. Always ensure that fractions have the same denominator before subtracting.</p>
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<p>Students often try to subtract fractions directly without finding a common denominator. Always ensure that fractions have the same denominator before subtracting.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Find the least common denominator (LCD) which is 10. Convert: 1/2 = 5/10 and 3/5 = 6/10. Subtract: 6/10 - 5/10 = 1/10.</p>
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<p>Find the least common denominator (LCD) which is 10. Convert: 1/2 = 5/10 and 3/5 = 6/10. Subtract: 6/10 - 5/10 = 1/10.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Subtract 4/9 from 7/12</p>
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<p>Subtract 4/9 from 7/12</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>Find the LCD of 9 and 12, which is 36. Convert: 4/9 = 16/36 and 7/12 = 21/36. Subtract: 21/36 - 16/36 = 5/36.</p>
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<p>Find the LCD of 9 and 12, which is 36. Convert: 4/9 = 16/36 and 7/12 = 21/36. Subtract: 21/36 - 16/36 = 5/36.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Subtract 2/7 from 5/6</p>
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<p>Subtract 2/7 from 5/6</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Find the LCD of 7 and 6, which is 42. Convert: 2/7 = 12/42 and 5/6 = 35/42. Subtract: 35/42 - 12/42 = 23/42.</p>
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<p>Find the LCD of 7 and 6, which is 42. Convert: 2/7 = 12/42 and 5/6 = 35/42. Subtract: 35/42 - 12/42 = 23/42.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Subtract 3/8 from 7/10</p>
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<p>Subtract 3/8 from 7/10</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Find the LCD of 8 and 10, which is 40. Convert: 3/8 = 15/40 and 7/10 = 28/40. Subtract: 28/40 - 15/40 = 13/40.</p>
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<p>Find the LCD of 8 and 10, which is 40. Convert: 3/8 = 15/40 and 7/10 = 28/40. Subtract: 28/40 - 15/40 = 13/40.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Subtract 5/11 from 13/15</p>
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<p>Subtract 5/11 from 13/15</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>Yes, but you need to convert the fractions to have a common denominator first.</h2>
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<h2>Yes, but you need to convert the fractions to have a common denominator first.</h2>
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<h3>1.Is subtraction commutative for fractions?</h3>
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<h3>1.Is subtraction commutative for fractions?</h3>
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<p>No, changing the order of fractions changes the result.</p>
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<p>No, changing the order of fractions changes the result.</p>
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<h3>2.What are like fractions?</h3>
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<h3>2.What are like fractions?</h3>
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<p>Like fractions have the same denominator, making them easier to add or subtract directly.</p>
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<p>Like fractions have the same denominator, making them easier to add or subtract directly.</p>
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<h3>3.What is the first step in subtracting unlike fractions?</h3>
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<h3>3.What is the first step in subtracting unlike fractions?</h3>
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<p>The first step is to find a common denominator for the fractions.</p>
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<p>The first step is to find a common denominator for the fractions.</p>
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<h3>4.What methods are used for subtracting unlike fractions?</h3>
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<h3>4.What methods are used for subtracting unlike fractions?</h3>
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<p>The common denominator method and cross multiplication method are commonly used.</p>
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<p>The common denominator method and cross multiplication method are commonly used.</p>
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<h2>Common Mistakes and How to Avoid Them in Subtraction of Unlike Fractions</h2>
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<h2>Common Mistakes and How to Avoid Them in Subtraction of Unlike Fractions</h2>
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<p>Subtraction of unlike fractions can be challenging, often leading to common mistakes. However, being aware of these errors can help students avoid them.</p>
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<p>Subtraction of unlike fractions can be challenging, often leading to common mistakes. However, being aware of these errors can help students avoid them.</p>
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<p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<p>▶</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>
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<p>: She loves to read number jokes and games.</p>