What is 76/85 Divided By 6/9

Solving $\frac{76}{85}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{85} \div \frac{6}{9} = \frac{76}{85} \times \frac{9}{6}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{76}{85} \times \frac{6}{9} = \frac{684}{510}$

Let's Simplify $\frac{684}{510}$

• Find the Greatest Common Divisor (GCD) of $684$ and $510$. The GCD of $684$ and $510$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{684 \div 6}{510 \div 6} = \frac{114}{85}$

Answer $\frac{76}{85}\div\frac{6}{9} = \frac{114}{85}$

The following animation demonstrates the divide-by,