What is 70/85 Divided By 8/7

Solving $\frac{70}{85}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{8}{7} = \frac{70}{85} \times \frac{7}{8}$

• Multiply the Numerators: $70 \times 7 = 490$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{70}{85} \times \frac{8}{7} = \frac{490}{680}$

Let's Simplify $\frac{490}{680}$

• Find the Greatest Common Divisor (GCD) of $490$ and $680$. The GCD of $490$ and $680$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 10}{680 \div 10} = \frac{49}{68}$

Answer $\frac{70}{85}\div\frac{8}{7} = \frac{49}{68}$

The following animation demonstrates the divide-by,