What is 70/85 Divided By 6/7

Solving $\frac{70}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{85} \div \frac{6}{7} = \frac{70}{85} \times \frac{7}{6}$

• Multiply the Numerators: $70 \times 7 = 490$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{70}{85} \times \frac{6}{7} = \frac{490}{510}$

Let's Simplify $\frac{490}{510}$

• Find the Greatest Common Divisor (GCD) of $490$ and $510$. The GCD of $490$ and $510$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 10}{510 \div 10} = \frac{49}{51}$

Answer $\frac{70}{85}\div\frac{6}{7} = \frac{49}{51}$

The following animation demonstrates the divide-by,