What is 85/54 Divided By 5/8

Solving $\frac{85}{54}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{54} \div \frac{5}{8} = \frac{85}{54} \times \frac{8}{5}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $54 \times 5 = 270$
• Form the New Fraction: $\frac{85}{54} \times \frac{5}{8} = \frac{680}{270}$

Let's Simplify $\frac{680}{270}$

• Find the Greatest Common Divisor (GCD) of $680$ and $270$. The GCD of $680$ and $270$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 10}{270 \div 10} = \frac{68}{27}$

Answer $\frac{85}{54}\div\frac{5}{8} = \frac{68}{27}$

The following animation demonstrates the divide-by,