How to Subtract Fractions: A Step-by-Step Guide

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Subtracting fractions may seem tricky at first, but with the right method, it becomes quite simple. Follow the steps below to master fraction subtraction.

Step 1: Ensure the Denominators Are the Same

To subtract fractions, their denominators (the numbers at the bottom of the fractions) need to be the same. If the denominators are already equal, you can move to the next step. However, if they are different, you'll need to find the least common denominator (LCD). The LCD is the smallest multiple that both denominators share. Convert each fraction to an equivalent fraction using this common denominator.

Step 2: Subtract the Numerators

Once the denominators are the same, subtract the numerators (the numbers at the top of the fractions) while keeping the denominator the same. For example:

Example: \( \frac{5}{8} - \frac{3}{8} = \frac{5-3}{8} = \frac{2}{8} \)

Step 3: Simplify the Fraction

If the result can be simplified, divide both the numerator and denominator by their greatest common divisor (GCD). For example, \(\frac{2}{8}\) can be simplified to \(\frac{1}{4}\).

Example Problem

Problem: Subtract \( \frac{1}{6} \) from \( \frac{3}{4} \).

Solution:

1. Find the LCD of 6 and 4, which is 12.
2. Convert the fractions: \( \frac{1}{6} = \frac{2}{12} \) and \( \frac{3}{4} = \frac{9}{12} \).
3. Subtract the numerators: \( \frac{9}{12} - \frac{2}{12} = \frac{7}{12} \).
4. The answer is \(\frac{7}{12}\).

Key Tips for Subtracting Fractions

• Always find the least common denominator if the denominators are not equal.
• Simplify the result when possible.

With these steps, you can confidently tackle any fraction subtraction problem!

Related Topics:

How to Add Fractions
How to Multiply Fractions
How to Divide Fractions