What is 50/85 Divided By 7/8

Solving $\frac{50}{85}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{85} \div \frac{7}{8} = \frac{50}{85} \times \frac{8}{7}$

• Multiply the Numerators: $50 \times 8 = 400$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{50}{85} \times \frac{7}{8} = \frac{400}{595}$

Let's Simplify $\frac{400}{595}$

• Find the Greatest Common Divisor (GCD) of $400$ and $595$. The GCD of $400$ and $595$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{400 \div 5}{595 \div 5} = \frac{80}{119}$

Answer $\frac{50}{85}\div\frac{7}{8} = \frac{80}{119}$

The following animation demonstrates the divide-by,