What is 60/85 Divided By 9/8

Solving $\frac{60}{85}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{85} \div \frac{9}{8} = \frac{60}{85} \times \frac{8}{9}$

• Multiply the Numerators: $60 \times 8 = 480$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{60}{85} \times \frac{9}{8} = \frac{480}{765}$

Let's Simplify $\frac{480}{765}$

• Find the Greatest Common Divisor (GCD) of $480$ and $765$. The GCD of $480$ and $765$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{480 \div 15}{765 \div 15} = \frac{32}{51}$

Answer $\frac{60}{85}\div\frac{9}{8} = \frac{32}{51}$

The following animation demonstrates the divide-by,