What is 75/85 Divided By 9/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{75}{85} \times \frac{9}{6} = \frac{450}{765}$

Let's Simplify $\frac{450}{765}$

• Find the Greatest Common Divisor (GCD) of $450$ and $765$. The GCD of $450$ and $765$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 45}{765 \div 45} = \frac{10}{17}$

Answer $\frac{75}{85}\div\frac{9}{6} = \frac{10}{17}$

The following animation demonstrates the divide-by,