What is 52/74 Divided By 5/8

Solving $\frac{52}{74}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{74} \div \frac{5}{8} = \frac{52}{74} \times \frac{8}{5}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $74 \times 5 = 370$
• Form the New Fraction: $\frac{52}{74} \times \frac{5}{8} = \frac{416}{370}$

Let's Simplify $\frac{416}{370}$

• Find the Greatest Common Divisor (GCD) of $416$ and $370$. The GCD of $416$ and $370$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{416 \div 2}{370 \div 2} = \frac{208}{185}$

Answer $\frac{52}{74}\div\frac{5}{8} = \frac{208}{185}$

The following animation demonstrates the divide-by,