What is 85/54 Divided By 4/6

Solving $\frac{85}{54}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{54} \div \frac{4}{6} = \frac{85}{54} \times \frac{6}{4}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $54 \times 4 = 216$
• Form the New Fraction: $\frac{85}{54} \times \frac{4}{6} = \frac{510}{216}$

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 $\frac{85}{54}\div\frac{4}{6} = \frac{85}{36}$

The following animation demonstrates the divide-by,