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Calculate: 3/7 - 1/5

June 2, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{8}{35}

4 steps

Find a common denominator for the fractions.
The denominators are 7 and 5. The least common multiple (LCM) of 7 and 5 is $7 \times 5 = 35$ .
Convert both fractions to equivalent fractions with the common denominator.
$\frac{3}{7} = \frac{3 \times 5}{7 \times 5} = \frac{15}{35}$ $\frac{1}{5} = \frac{1 \times 7}{5 \times 7} = \frac{7}{35}$
Subtract the new fractions.
$\frac{15}{35} - \frac{7}{35} = \frac{15 - 7}{35} = \frac{8}{35}$
The fraction $\frac{8}{35}$ cannot be simplified further as 8 and 35 share no common factors other than 1.
The final answer is $\frac{8}{35}$ .

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