What is 75/46 Divided By 5/8

Solving $\frac{75}{46}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{46} \div \frac{5}{8} = \frac{75}{46} \times \frac{8}{5}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $46 \times 5 = 230$
• Form the New Fraction: $\frac{75}{46} \times \frac{5}{8} = \frac{600}{230}$

Let's Simplify $\frac{600}{230}$

• Find the Greatest Common Divisor (GCD) of $600$ and $230$. The GCD of $600$ and $230$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 10}{230 \div 10} = \frac{60}{23}$

Answer $\frac{75}{46}\div\frac{5}{8} = \frac{60}{23}$

The following animation demonstrates the divide-by,