What is 50/75 Divided By 8/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $50 \times 9 = 450$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{50}{75} \times \frac{8}{9} = \frac{450}{600}$

Let's Simplify $\frac{450}{600}$

• Find the Greatest Common Divisor (GCD) of $450$ and $600$. The GCD of $450$ and $600$ is $150$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 150}{600 \div 150} = \frac{3}{4}$

Answer $\frac{50}{75}\div\frac{8}{9} = \frac{3}{4}$

The following animation demonstrates the divide-by,