What is 61/35 Divided By 5/7

Solving $\frac{61}{35}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{35} \div \frac{5}{7} = \frac{61}{35} \times \frac{7}{5}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{61}{35} \times \frac{5}{7} = \frac{427}{175}$

Let's Simplify $\frac{427}{175}$

• Find the Greatest Common Divisor (GCD) of $427$ and $175$. The GCD of $427$ and $175$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{427 \div 7}{175 \div 7} = \frac{61}{25}$

Answer $\frac{61}{35}\div\frac{5}{7} = \frac{61}{25}$

The following animation demonstrates the divide-by,