What is 95/57 Divided By 5/8

Solving $\frac{95}{57}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{57} \div \frac{5}{8} = \frac{95}{57} \times \frac{8}{5}$

• Multiply the Numerators: $95 \times 8 = 760$
• Multiply the Denominators: $57 \times 5 = 285$
• Form the New Fraction: $\frac{95}{57} \times \frac{5}{8} = \frac{760}{285}$

Let's Simplify $\frac{760}{285}$

• Find the Greatest Common Divisor (GCD) of $760$ and $285$. The GCD of $760$ and $285$ is $95$.
• Divide both the numerator and the denominator by the GCD:$\frac{760 \div 95}{285 \div 95} = \frac{8}{3}$

Answer $\frac{95}{57}\div\frac{5}{8} = \frac{8}{3}$

The following animation demonstrates the divide-by,