What is 60/85 Divided By 9/4

Solving $\frac{60}{85}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{85} \div \frac{9}{4} = \frac{60}{85} \times \frac{4}{9}$

• Multiply the Numerators: $60 \times 4 = 240$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{60}{85} \times \frac{9}{4} = \frac{240}{765}$

Let's Simplify $\frac{240}{765}$

• Find the Greatest Common Divisor (GCD) of $240$ and $765$. The GCD of $240$ and $765$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 15}{765 \div 15} = \frac{16}{51}$

Answer $\frac{60}{85}\div\frac{9}{4} = \frac{16}{51}$

The following animation demonstrates the divide-by,