What is 72/75 Divided By 9/4

Solving $\frac{72}{75}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{9}{4} = \frac{72}{75} \times \frac{4}{9}$

• Multiply the Numerators: $72 \times 4 = 288$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{72}{75} \times \frac{9}{4} = \frac{288}{675}$

Let's Simplify $\frac{288}{675}$

• Find the Greatest Common Divisor (GCD) of $288$ and $675$. The GCD of $288$ and $675$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{288 \div 9}{675 \div 9} = \frac{32}{75}$

Answer $\frac{72}{75}\div\frac{9}{4} = \frac{32}{75}$

The following animation demonstrates the divide-by,