What is 72/45 Divided By 4/7

Solving $\frac{72}{45}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{45} \div \frac{4}{7} = \frac{72}{45} \times \frac{7}{4}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{72}{45} \times \frac{4}{7} = \frac{504}{180}$

Let's Simplify $\frac{504}{180}$

• Find the Greatest Common Divisor (GCD) of $504$ and $180$. The GCD of $504$ and $180$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 36}{180 \div 36} = \frac{14}{5}$

Answer $\frac{72}{45}\div\frac{4}{7} = \frac{14}{5}$

The following animation demonstrates the divide-by,