What is 72/75 Divided By 9/6

Solving $\frac{72}{75}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{9}{6} = \frac{72}{75} \times \frac{6}{9}$

• Multiply the Numerators: $72 \times 6 = 432$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{72}{75} \times \frac{9}{6} = \frac{432}{675}$

Let's Simplify $\frac{432}{675}$

• Find the Greatest Common Divisor (GCD) of $432$ and $675$. The GCD of $432$ and $675$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 27}{675 \div 27} = \frac{16}{25}$

Answer $\frac{72}{75}\div\frac{9}{6} = \frac{16}{25}$

The following animation demonstrates the divide-by,