What is 61/70 Divided By 7/5

Solving $\frac{61}{70}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{70} \div \frac{7}{5} = \frac{61}{70} \times \frac{5}{7}$

• Multiply the Numerators: $61 \times 5 = 305$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{61}{70} \times \frac{7}{5} = \frac{305}{490}$

Let's Simplify $\frac{305}{490}$

• Find the Greatest Common Divisor (GCD) of $305$ and $490$. The GCD of $305$ and $490$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{305 \div 5}{490 \div 5} = \frac{61}{98}$

Answer $\frac{61}{70}\div\frac{7}{5} = \frac{61}{98}$

The following animation demonstrates the divide-by,