What is 61/70 Divided By 8/7

Solving $\frac{61}{70}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{70} \div \frac{8}{7} = \frac{61}{70} \times \frac{7}{8}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $70 \times 8 = 560$
• Form the New Fraction: $\frac{61}{70} \times \frac{8}{7} = \frac{427}{560}$

Let's Simplify $\frac{427}{560}$

• Find the Greatest Common Divisor (GCD) of $427$ and $560$. The GCD of $427$ and $560$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{427 \div 7}{560 \div 7} = \frac{61}{80}$

Answer $\frac{61}{70}\div\frac{8}{7} = \frac{61}{80}$

The following animation demonstrates the divide-by,