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1 - <p>160 Learners</p>

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2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>The mathematical operation of finding the difference between two fractions with different denominators is known as the subtraction of dissimilar fractions. It helps simplify expressions and solve problems involving fractions with unlike denominators.</p>

4 <h2>What is Subtraction of Dissimilar Fractions?</h2>

5 <p>Subtracting dissimilar<a>fractions</a>involves finding a<a>common denominator</a>so the fractions can be subtracted. It requires converting each fraction to an<a>equivalent fraction</a>with the same denominator.</p>

6 <p>There are three components<a>of</a>a fraction:</p>

7 <p><strong>Numerator:</strong>The top part of a fraction, indicating how many parts are taken.</p>

8 <p><strong>Denominator:</strong>The bottom part of a fraction, indicating the total<a>number</a>of equal parts.</p>

9 <p><strong>Fraction bar:</strong>This separates the<a>numerator</a>and the denominator and denotes<a>division</a>.</p>

10 <h2>How to do Subtraction of Dissimilar Fractions?</h2>

11 <p>When subtracting dissimilar fractions, students should follow these steps:</p>

12 <p>Find a common<a>denominator</a>: Determine the<a>least common multiple</a>(LCM) of the<a>denominators</a>.</p>

13 <p>Convert fractions: Rewrite each fraction as an equivalent fraction with the common denominator.</p>

14 <p>Subtract the numerators: Subtract the numerators while keeping the common denominator.</p>

15 <p>Simplify the result: If possible, simplify the fraction to its lowest<a>terms</a>by dividing both the numerator and the denominator by their<a>greatest common divisor</a>(GCD).</p>

16 <h2>Methods to do Subtraction of Dissimilar Fractions</h2>

17 <p>The following are methods for subtracting dissimilar fractions:</p>

18 <p><strong>Method 1:</strong>Least Common Denominator (LCD) Method</p>

19 <p>Step 1: Find the<a>least common denominator</a>of the fractions.</p>

20 <p>Step 2: Convert each fraction to an equivalent fraction with the LCD.</p>

21 <p>Step 3: Subtract the numerators and keep the LCD as the denominator.</p>

22 <p>Step 4: Simplify the resulting fraction if possible.</p>

23 <p><strong>Example:</strong>Subtract 3/4 from 5/6.</p>

24 <p>Step 1: LCM of 4 and 6 is 12.</p>

25 <p>Step 2: Convert: 3/4 = 9/12, 5/6 = 10/12.</p>

26 <p>Step 3: Subtract: 10/12 - 9/12 = 1/12.</p>

27 <p><strong>Method 2:</strong>Cross-Multiplication Method</p>

28 <p>Step 1: Cross-multiply the fractions.</p>

29 <p>Step 2: Subtract the cross products and write over the<a>product</a>of the denominators.</p>

30 <p>Step 3: Simplify the resulting fraction if possible.</p>

31 <p><strong>Example:</strong>Subtract 2/3 from 4/5.</p>

32 <p>Step 1: Cross-multiply: (4×3) - (2×5) = 12 - 10 = 2.</p>

33 <p>Step 2: Denominator: 3×5 = 15.</p>

34 <p>Step 3: Result: 2/15.</p>

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37 <h2>Properties of Subtraction of Dissimilar Fractions</h2>

36 <h2>Properties of Subtraction of Dissimilar Fractions</h2>

38 <p>In fraction<a>subtraction</a>, some characteristic properties are observed:</p>

37 <p>In fraction<a>subtraction</a>, some characteristic properties are observed:</p>

39 <ol><li>Subtraction is not commutative In subtraction, changing the order of the fractions changes the result,<a>i</a>.e., A/B - C/D ≠ C/D - A/B.</li>

38 <ol><li>Subtraction is not commutative In subtraction, changing the order of the fractions changes the result,<a>i</a>.e., A/B - C/D ≠ C/D - A/B.</li>

40 <li>Subtraction is not associative Unlike<a>addition</a>, regrouping is not possible in subtraction. For three or more fractions, changing the grouping changes the result. ((A/B) - (C/D)) - (E/F) ≠ (A/B) - ((C/D) - (E/F)).</li>

39 <li>Subtraction is not associative Unlike<a>addition</a>, regrouping is not possible in subtraction. For three or more fractions, changing the grouping changes the result. ((A/B) - (C/D)) - (E/F) ≠ (A/B) - ((C/D) - (E/F)).</li>

41 <li>Subtraction is the addition of the opposite Subtracting a fraction is the same as adding its opposite, so convert subtraction into addition by reversing the sign of the second fraction. A/B - C/D = A/B + (-C/D).</li>

40 <li>Subtraction is the addition of the opposite Subtracting a fraction is the same as adding its opposite, so convert subtraction into addition by reversing the sign of the second fraction. A/B - C/D = A/B + (-C/D).</li>

42 <li>Subtracting zero from a fraction leaves the fraction unchanged Subtracting zero from any fraction results in the same fraction: A/B - 0 = A/B.</li>

41 <li>Subtracting zero from a fraction leaves the fraction unchanged Subtracting zero from any fraction results in the same fraction: A/B - 0 = A/B.</li>

43 </ol><h2>Tips and Tricks for Subtraction of Dissimilar Fractions</h2>

42 </ol><h2>Tips and Tricks for Subtraction of Dissimilar Fractions</h2>

44 <p>Useful tips for students to efficiently handle subtraction of dissimilar fractions include:</p>

43 <p>Useful tips for students to efficiently handle subtraction of dissimilar fractions include:</p>

45 <p><strong>Tip 1:</strong>Always determine the least common denominator to simplify calculations.</p>

44 <p><strong>Tip 1:</strong>Always determine the least common denominator to simplify calculations.</p>

46 <p><strong>Tip 2:</strong>Simplify fractions at every step to manage smaller numbers and reduce errors.</p>

45 <p><strong>Tip 2:</strong>Simplify fractions at every step to manage smaller numbers and reduce errors.</p>

47 <p><strong>Tip 3:</strong>Visual learners can use fraction strips or area models to understand subtraction better.</p>

46 <p><strong>Tip 3:</strong>Visual learners can use fraction strips or area models to understand subtraction better.</p>

48 <h2>Ignoring common denominators</h2>

47 <h2>Ignoring common denominators</h2>

49 <p>Students often forget to find a common denominator before subtracting. Always convert fractions to have the same denominator before proceeding.</p>

48 <p>Students often forget to find a common denominator before subtracting. Always convert fractions to have the same denominator before proceeding.</p>

50 <h3>Problem 1</h3>

49 <h3>Problem 1</h3>

51 <p>Use the cross-multiplication method, (2×3) - (1×5) = 6 - 5 = 1 Denominator: 3×5 = 15 Result: 1/15</p>

50 <p>Use the cross-multiplication method, (2×3) - (1×5) = 6 - 5 = 1 Denominator: 3×5 = 15 Result: 1/15</p>

52 <p>Okay, lets begin</p>

51 <p>Okay, lets begin</p>

53 <p>Subtract 5/8 from 3/4</p>

52 <p>Subtract 5/8 from 3/4</p>

54 <p>Well explained 👍</p>

53 <p>Well explained 👍</p>

55 <h3>Problem 2</h3>

54 <h3>Problem 2</h3>

56 <p>Use the LCD method, LCM of 8 and 4 is 8. Convert: 3/4 = 6/8 Subtract: 6/8 - 5/8 = 1/8</p>

55 <p>Use the LCD method, LCM of 8 and 4 is 8. Convert: 3/4 = 6/8 Subtract: 6/8 - 5/8 = 1/8</p>

57 <p>Okay, lets begin</p>

56 <p>Okay, lets begin</p>

58 <p>Subtract 7/9 from 5/6</p>

57 <p>Subtract 7/9 from 5/6</p>

59 <p>Well explained 👍</p>

58 <p>Well explained 👍</p>

60 <h3>Problem 3</h3>

59 <h3>Problem 3</h3>

61 <p>Use the cross-multiplication method, (5×9) - (7×6) = 45 - 42 = 3 Denominator: 9×6 = 54 Result: 3/54 = 1/18 Since the smaller fraction is subtracted from the larger, the result is -1/18.</p>

60 <p>Use the cross-multiplication method, (5×9) - (7×6) = 45 - 42 = 3 Denominator: 9×6 = 54 Result: 3/54 = 1/18 Since the smaller fraction is subtracted from the larger, the result is -1/18.</p>

62 <p>Okay, lets begin</p>

61 <p>Okay, lets begin</p>

63 <p>Subtract 2/7 from 3/5</p>

62 <p>Subtract 2/7 from 3/5</p>

64 <p>Well explained 👍</p>

63 <p>Well explained 👍</p>

65 <h3>Problem 4</h3>

64 <h3>Problem 4</h3>

66 <p>Use the LCD method, LCM of 7 and 5 is 35. Convert: 2/7 = 10/35, 3/5 = 21/35 Subtract: 21/35 - 10/35 = 11/35</p>

65 <p>Use the LCD method, LCM of 7 and 5 is 35. Convert: 2/7 = 10/35, 3/5 = 21/35 Subtract: 21/35 - 10/35 = 11/35</p>

67 <p>Okay, lets begin</p>

66 <p>Okay, lets begin</p>

68 <p>Subtract 4/11 from 7/9</p>

67 <p>Subtract 4/11 from 7/9</p>

69 <p>Well explained 👍</p>

68 <p>Well explained 👍</p>

70 <h2>No, fractions with different denominators must first be converted to equivalent fractions with a common denominator before subtraction.</h2>

69 <h2>No, fractions with different denominators must first be converted to equivalent fractions with a common denominator before subtraction.</h2>

71 <h3>1.Is subtraction commutative for fractions?</h3>

70 <h3>1.Is subtraction commutative for fractions?</h3>

72 <p>No, the order of fractions matters in subtraction; changing them changes the outcome.</p>

71 <p>No, the order of fractions matters in subtraction; changing them changes the outcome.</p>

73 <h3>2.What is a common denominator?</h3>

72 <h3>2.What is a common denominator?</h3>

74 <p>A common denominator is a shared<a>multiple</a>of the denominators of two or more fractions, used to make the fractions comparable for operations like<a>addition and subtraction</a>.</p>

73 <p>A common denominator is a shared<a>multiple</a>of the denominators of two or more fractions, used to make the fractions comparable for operations like<a>addition and subtraction</a>.</p>

75 <h3>3.What is the first step in subtracting dissimilar fractions?</h3>

74 <h3>3.What is the first step in subtracting dissimilar fractions?</h3>

76 <p>The first step is to find a common denominator for the fractions so they can be written as equivalent fractions with the same denominator.</p>

75 <p>The first step is to find a common denominator for the fractions so they can be written as equivalent fractions with the same denominator.</p>

77 <h3>4.What methods are used for the subtraction of dissimilar fractions?</h3>

76 <h3>4.What methods are used for the subtraction of dissimilar fractions?</h3>

78 <p>The least common denominator (LCD) method and the cross-multiplication method are used for subtracting dissimilar fractions.</p>

77 <p>The least common denominator (LCD) method and the cross-multiplication method are used for subtracting dissimilar fractions.</p>

79 <h2>Common Mistakes and How to Avoid Them in Subtraction of Dissimilar Fractions</h2>

78 <h2>Common Mistakes and How to Avoid Them in Subtraction of Dissimilar Fractions</h2>

80 <p>Subtraction of dissimilar fractions can be challenging, leading to common mistakes. Awareness of these errors can help students avoid them.</p>

79 <p>Subtraction of dissimilar fractions can be challenging, leading to common mistakes. Awareness of these errors can help students avoid them.</p>

81 <p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

80 <p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

82 <p>▶</p>

81 <p>▶</p>

83 <h2>Hiralee Lalitkumar Makwana</h2>

82 <h2>Hiralee Lalitkumar Makwana</h2>

84 <h3>About the Author</h3>

83 <h3>About the Author</h3>

85 <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>

84 <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>

86 <h3>Fun Fact</h3>

85 <h3>Fun Fact</h3>

87 <p>: She loves to read number jokes and games.</p>

86 <p>: She loves to read number jokes and games.</p>