What is 75/85 Divided By 6/9

Solving $\frac{75}{85}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{85} \div \frac{6}{9} = \frac{75}{85} \times \frac{9}{6}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{75}{85} \times \frac{6}{9} = \frac{675}{510}$

Let's Simplify $\frac{675}{510}$

• Find the Greatest Common Divisor (GCD) of $675$ and $510$. The GCD of $675$ and $510$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 15}{510 \div 15} = \frac{45}{34}$

Answer $\frac{75}{85}\div\frac{6}{9} = \frac{45}{34}$

The following animation demonstrates the divide-by,