What is 85/88 Divided By 5/8

Solving $\frac{85}{88}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{88} \div \frac{5}{8} = \frac{85}{88} \times \frac{8}{5}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $88 \times 5 = 440$
• Form the New Fraction: $\frac{85}{88} \times \frac{5}{8} = \frac{680}{440}$

Let's Simplify $\frac{680}{440}$

• Find the Greatest Common Divisor (GCD) of $680$ and $440$. The GCD of $680$ and $440$ is $40$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 40}{440 \div 40} = \frac{17}{11}$

Answer $\frac{85}{88}\div\frac{5}{8} = \frac{17}{11}$

The following animation demonstrates the divide-by,