What is 74/34 Divided By 5/8

Solving $\frac{74}{34}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{34} \div \frac{5}{8} = \frac{74}{34} \times \frac{8}{5}$

• Multiply the Numerators: $74 \times 8 = 592$
• Multiply the Denominators: $34 \times 5 = 170$
• Form the New Fraction: $\frac{74}{34} \times \frac{5}{8} = \frac{592}{170}$

Let's Simplify $\frac{592}{170}$

• Find the Greatest Common Divisor (GCD) of $592$ and $170$. The GCD of $592$ and $170$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{592 \div 2}{170 \div 2} = \frac{296}{85}$

Answer $\frac{74}{34}\div\frac{5}{8} = \frac{296}{85}$

The following animation demonstrates the divide-by,