0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<p>The following are the methods of subtraction of rational numbers:</p>
1
<p>The following are the methods of subtraction of rational numbers:</p>
2
<h3>Method 1: Horizontal Method</h3>
2
<h3>Method 1: Horizontal Method</h3>
3
<p>To apply the horizontal method for subtraction of rational numbers, use the following steps.</p>
3
<p>To apply the horizontal method for subtraction of rational numbers, use the following steps.</p>
4
<p><strong>Step 1:</strong>Write both rational numbers in the same line using a minus sign in between.</p>
4
<p><strong>Step 1:</strong>Write both rational numbers in the same line using a minus sign in between.</p>
5
<p><strong>Step 2:</strong>If needed, rewrite the rational numbers to have a common denominator.</p>
5
<p><strong>Step 2:</strong>If needed, rewrite the rational numbers to have a common denominator.</p>
6
<p><strong>Step 3:</strong>Subtract the numerators and place the result over the common denominator. Simplify if possible.</p>
6
<p><strong>Step 3:</strong>Subtract the numerators and place the result over the common denominator. Simplify if possible.</p>
7
<p>Let’s apply these steps to an example: Question: Subtract 3/4 from 5/2</p>
7
<p>Let’s apply these steps to an example: Question: Subtract 3/4 from 5/2</p>
8
<p><strong>Step 1:</strong>Write both numbers in the same line,</p>
8
<p><strong>Step 1:</strong>Write both numbers in the same line,</p>
9
<p><strong>Step 2:</strong>Make denominators the same: 3/4 = 6/8, 5/2 = 20/8</p>
9
<p><strong>Step 2:</strong>Make denominators the same: 3/4 = 6/8, 5/2 = 20/8</p>
10
<p><strong>Step 3:</strong>Subtract the numerators: 20/8 - 6/8 = 14/8 = 7/4 Answer: 7/4</p>
10
<p><strong>Step 3:</strong>Subtract the numerators: 20/8 - 6/8 = 14/8 = 7/4 Answer: 7/4</p>
11
<p><strong>Method 2:</strong>Fraction Bar Method</p>
11
<p><strong>Method 2:</strong>Fraction Bar Method</p>
12
<p>When subtracting rational numbers using the fraction bar method, we place one fraction over the other.</p>
12
<p>When subtracting rational numbers using the fraction bar method, we place one fraction over the other.</p>
13
<p>Ensure like denominators, then subtract the numerators and simplify the result. For example, Subtract 2/3 from 7/6</p>
13
<p>Ensure like denominators, then subtract the numerators and simplify the result. For example, Subtract 2/3 from 7/6</p>
14
<p><strong>Solution:</strong>Arrange the like denominators 7/6 ← Minuend (from which we subtract) - 2/3 ← Subtrahend (what we subtract, rewritten as 4/6) ------- 7/6 - 4/6 = 3/6 = 1/2</p>
14
<p><strong>Solution:</strong>Arrange the like denominators 7/6 ← Minuend (from which we subtract) - 2/3 ← Subtrahend (what we subtract, rewritten as 4/6) ------- 7/6 - 4/6 = 3/6 = 1/2</p>
15
<p>Therefore, upon subtracting, we get 1/2</p>
15
<p>Therefore, upon subtracting, we get 1/2</p>
16
16