What is 88/85 Divided By 8/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,