What is 50/75 Divided By 9/8

Solving $\frac{50}{75}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{75} \div \frac{9}{8} = \frac{50}{75} \times \frac{8}{9}$

• Multiply the Numerators: $50 \times 8 = 400$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{50}{75} \times \frac{9}{8} = \frac{400}{675}$

Let's Simplify $\frac{400}{675}$

• Find the Greatest Common Divisor (GCD) of $400$ and $675$. The GCD of $400$ and $675$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{400 \div 25}{675 \div 25} = \frac{16}{27}$

Answer $\frac{50}{75}\div\frac{9}{8} = \frac{16}{27}$

The following animation demonstrates the divide-by,