What is 72/61 Divided By 9/7

Solving $\frac{72}{61}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{61} \div \frac{9}{7} = \frac{72}{61} \times \frac{7}{9}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $61 \times 9 = 549$
• Form the New Fraction: $\frac{72}{61} \times \frac{9}{7} = \frac{504}{549}$

Let's Simplify $\frac{504}{549}$

• Find the Greatest Common Divisor (GCD) of $504$ and $549$. The GCD of $504$ and $549$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 9}{549 \div 9} = \frac{56}{61}$

Answer $\frac{72}{61}\div\frac{9}{7} = \frac{56}{61}$

The following animation demonstrates the divide-by,