What is 85/24 Divided By 9/8

Solving $\frac{85}{24}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{24} \div \frac{9}{8} = \frac{85}{24} \times \frac{8}{9}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $24 \times 9 = 216$
• Form the New Fraction: $\frac{85}{24} \times \frac{9}{8} = \frac{680}{216}$

Let's Simplify $\frac{680}{216}$

• Find the Greatest Common Divisor (GCD) of $680$ and $216$. The GCD of $680$ and $216$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 8}{216 \div 8} = \frac{85}{27}$

Answer $\frac{85}{24}\div\frac{9}{8} = \frac{85}{27}$

The following animation demonstrates the divide-by,