What is 61/85 Divided By 9/6

Solving $\frac{61}{85}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{85} \div \frac{9}{6} = \frac{61}{85} \times \frac{6}{9}$

• Multiply the Numerators: $61 \times 6 = 366$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{61}{85} \times \frac{9}{6} = \frac{366}{765}$

Let's Simplify $\frac{366}{765}$

• Find the Greatest Common Divisor (GCD) of $366$ and $765$. The GCD of $366$ and $765$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{366 \div 3}{765 \div 3} = \frac{122}{255}$

Answer $\frac{61}{85}\div\frac{9}{6} = \frac{122}{255}$

The following animation demonstrates the divide-by,