Step 1: Find a common denominator for the fractions. The least common multiple of 4 and 3 is 12. Step 2: Convert each fraction to an equivalent fraction with a denominator of 12. To convert 3/4, multiply the numerator and denominator by 3: 3/4 = (3 × 3)/(4 × 3) = 9/12 To convert 1/3, multiply the numerator and denominator by 4: 1/3 = (1 × 4)/(3 × 4) = 4/12 Step 3: Subtract the equivalent fractions. 9/12 − 4/12 = (9 − 4)/(12); (9 − 4)/(12) = 5/12 The simplified expression is: 5/12

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Simplify 3/4 - 1/3

July 4, 2026Mathematics

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Answer

\frac{5}{12}

Step-by-step solution

3 steps

Find a common denominator for the fractions.
The least common multiple of 4 and 3 is 12.
Convert each fraction to an equivalent fraction with a denominator of 12.
To convert $\frac{3}{4}$ , multiply the numerator and denominator by 3:
$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$
To convert $\frac{1}{3}$ , multiply the numerator and denominator by 4:
$\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$
Subtract the equivalent fractions.
$\frac{9}{12} - \frac{4}{12} = \frac{9 - 4}{12}$ $\frac{9 - 4}{12} = \frac{5}{12}$
The simplified expression is:
$\frac{5}{12}$

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