Step 1: Find the least common denominator (LCD) for the fractions. The denominators are 7 and 5. Since 7 and 5 are prime numbers, their LCD is their product. LCD = 7 × 5 = 35 Step 2: Convert each fraction to an equivalent fraction with the LCD as the denominator. To convert 3/7, multiply the numerator and denominator by 5: 3/7 = (3 × 5)/(7 × 5) = 15/35 To convert 1/5, multiply the numerator and denominator by 7: 1/5 = (1 × 7)/(5 × 7) = 7/35 Step 3: Subtract the equivalent fractions. Now that the fractions have the same denominator, subtract their numerators. 15/35 − 7/35 = (15 − 7)/(35) = 8/35 Step 4: Simplify the result. The fraction 8/35 is already in its simplest form because 8 and 35 do not share any common factors other than 1. The final answer is 8/35.

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2 - 1/7 = ?

June 2, 2026Mathematics

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Answer

\frac{8}{35}

Step-by-step solution

4 steps

Find the least common denominator (LCD) for the fractions.
The denominators are 7 and 5. Since 7 and 5 are prime numbers, their LCD is their product.
$\text{LCD} = 7 \times 5 = 35$
Convert each fraction to an equivalent fraction with the LCD as the denominator.
To convert $\frac{3}{7}$ , multiply the numerator and denominator by 5:
$\frac{3}{7} = \frac{3 \times 5}{7 \times 5} = \frac{15}{35}$
To convert $\frac{1}{5}$ , multiply the numerator and denominator by 7:
$\frac{1}{5} = \frac{1 \times 7}{5 \times 7} = \frac{7}{35}$
Subtract the equivalent fractions.
Now that the fractions have the same denominator, subtract their numerators.
$\frac{15}{35} - \frac{7}{35} = \frac{15 - 7}{35} = \frac{8}{35}$
Simplify the result.
The fraction $\frac{8}{35}$ is already in its simplest form because 8 and 35 do not share any common factors other than 1.

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2 - 1/7 = ?

Answer

Step-by-step solution

Find the least common denominator (LCD) for the fractions.

Convert each fraction to an equivalent fraction with the LCD as the denominator.

Subtract the equivalent fractions.

Simplify the result.

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