What is 72/85 Divided By 9/7

Solving $\frac{72}{85}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{85} \div \frac{9}{7} = \frac{72}{85} \times \frac{7}{9}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{72}{85} \times \frac{9}{7} = \frac{504}{765}$

Let's Simplify $\frac{504}{765}$

• Find the Greatest Common Divisor (GCD) of $504$ and $765$. The GCD of $504$ and $765$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 9}{765 \div 9} = \frac{56}{85}$

Answer $\frac{72}{85}\div\frac{9}{7} = \frac{56}{85}$

The following animation demonstrates the divide-by,