What is 24/75 Divided By 9/8

Solving $\frac{24}{75}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{75} \div \frac{9}{8} = \frac{24}{75} \times \frac{8}{9}$

• Multiply the Numerators: $24 \times 8 = 192$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{24}{75} \times \frac{9}{8} = \frac{192}{675}$

Let's Simplify $\frac{192}{675}$

• Find the Greatest Common Divisor (GCD) of $192$ and $675$. The GCD of $192$ and $675$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{192 \div 3}{675 \div 3} = \frac{64}{225}$

Answer $\frac{24}{75}\div\frac{9}{8} = \frac{64}{225}$

The following animation demonstrates the divide-by,