How to Subtract Fractions with Unlike Denominators by making equal Denominators | MathoGuide

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How to Subtract Fractions with Unlike Denominators by making equal Denominators| MathoGuide

To subtract fractions with unlike denominators by making equal denominators, follow these steps:

1. Identify the least common denominator (LCD) of the fractions.
2. Rewrite each fraction with the LCD as the denominator.
3. Subtract the numerators while keeping the denominator the same.
4. Simplify the resulting fraction if possible.

For example, let's subtract
{3/4} - {1/3}

Step 1. The LCD of 4 and 3 is 12.

Ste 2. Rewrite the frac{3/4} as frac{9/12} and frac{1/3} as frac{4/12}.

Step 3. Subtract:
9/12 - 4/12
= 9 - 4/12
= 5/12

4. The result, \( \frac{5}{12} \), is already in simplest form, so it's the final answer.

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