What is 76/85 Divided By 6/7

Solving $\frac{76}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{85} \div \frac{6}{7} = \frac{76}{85} \times \frac{7}{6}$

• Multiply the Numerators: $76 \times 7 = 532$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{76}{85} \times \frac{6}{7} = \frac{532}{510}$

Let's Simplify $\frac{532}{510}$

• Find the Greatest Common Divisor (GCD) of $532$ and $510$. The GCD of $532$ and $510$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{532 \div 2}{510 \div 2} = \frac{266}{255}$

Answer $\frac{76}{85}\div\frac{6}{7} = \frac{266}{255}$

The following animation demonstrates the divide-by,