What is 70/34 Divided By 5/8

Solving $\frac{70}{34}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{34} \div \frac{5}{8} = \frac{70}{34} \times \frac{8}{5}$

• Multiply the Numerators: $70 \times 8 = 560$
• Multiply the Denominators: $34 \times 5 = 170$
• Form the New Fraction: $\frac{70}{34} \times \frac{5}{8} = \frac{560}{170}$

Let's Simplify $\frac{560}{170}$

• Find the Greatest Common Divisor (GCD) of $560$ and $170$. The GCD of $560$ and $170$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{560 \div 10}{170 \div 10} = \frac{56}{17}$

Answer $\frac{70}{34}\div\frac{5}{8} = \frac{56}{17}$

The following animation demonstrates the divide-by,