What is 85/24 Divided By 9/6

Solving $\frac{85}{24}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{24} \div \frac{9}{6} = \frac{85}{24} \times \frac{6}{9}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $24 \times 9 = 216$
• Form the New Fraction: $\frac{85}{24} \times \frac{9}{6} = \frac{510}{216}$

Let's Simplify $\frac{510}{216}$

• Find the Greatest Common Divisor (GCD) of $510$ and $216$. The GCD of $510$ and $216$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 6}{216 \div 6} = \frac{85}{36}$

Answer $\frac{85}{24}\div\frac{9}{6} = \frac{85}{36}$

The following animation demonstrates the divide-by,