What is 85/24 Divided By 4/6

Solving $\frac{85}{24}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{24} \div \frac{4}{6} = \frac{85}{24} \times \frac{6}{4}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{85}{24} \times \frac{4}{6} = \frac{510}{96}$

Let's Simplify $\frac{510}{96}$

• Find the Greatest Common Divisor (GCD) of $510$ and $96$. The GCD of $510$ and $96$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 6}{96 \div 6} = \frac{85}{16}$

Answer $\frac{85}{24}\div\frac{4}{6} = \frac{85}{16}$

The following animation demonstrates the divide-by,