What is 72/75 Divided By 4/5

Solving $\frac{72}{75}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{4}{5} = \frac{72}{75} \times \frac{5}{4}$

• Multiply the Numerators: $72 \times 5 = 360$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{72}{75} \times \frac{4}{5} = \frac{360}{300}$

Let's Simplify $\frac{360}{300}$

• Find the Greatest Common Divisor (GCD) of $360$ and $300$. The GCD of $360$ and $300$ is $60$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 60}{300 \div 60} = \frac{6}{5}$

Answer $\frac{72}{75}\div\frac{4}{5} = \frac{6}{5}$

The following animation demonstrates the divide-by,