What is 75/83 Divided By 5/8

Solving $\frac{75}{83}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{83} \div \frac{5}{8} = \frac{75}{83} \times \frac{8}{5}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $83 \times 5 = 415$
• Form the New Fraction: $\frac{75}{83} \times \frac{5}{8} = \frac{600}{415}$

Let's Simplify $\frac{600}{415}$

• Find the Greatest Common Divisor (GCD) of $600$ and $415$. The GCD of $600$ and $415$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 5}{415 \div 5} = \frac{120}{83}$

Answer $\frac{75}{83}\div\frac{5}{8} = \frac{120}{83}$

The following animation demonstrates the divide-by,