What is 61/91 Divided By 5/7

Solving $\frac{61}{91}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{91} \div \frac{5}{7} = \frac{61}{91} \times \frac{7}{5}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $91 \times 5 = 455$
• Form the New Fraction: $\frac{61}{91} \times \frac{5}{7} = \frac{427}{455}$

Let's Simplify $\frac{427}{455}$

• Find the Greatest Common Divisor (GCD) of $427$ and $455$. The GCD of $427$ and $455$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{427 \div 7}{455 \div 7} = \frac{61}{65}$

Answer $\frac{61}{91}\div\frac{5}{7} = \frac{61}{65}$

The following animation demonstrates the divide-by,