What is 75/85 Divided By 6/7

Solving $\frac{75}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{6}{7} = \frac{75}{85} \times \frac{7}{6}$

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{75}{85} \times \frac{6}{7} = \frac{525}{510}$

Let's Simplify $\frac{525}{510}$

• Find the Greatest Common Divisor (GCD) of $525$ and $510$. The GCD of $525$ and $510$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{525 \div 15}{510 \div 15} = \frac{35}{34}$

Answer $\frac{75}{85}\div\frac{6}{7} = \frac{35}{34}$

The following animation demonstrates the divide-by,