What is 74/85 Divided By 9/6

Solving $\frac{74}{85}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{9}{6} = \frac{74}{85} \times \frac{6}{9}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{74}{85} \times \frac{9}{6} = \frac{444}{765}$

Let's Simplify $\frac{444}{765}$

• Find the Greatest Common Divisor (GCD) of $444$ and $765$. The GCD of $444$ and $765$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{444 \div 3}{765 \div 3} = \frac{148}{255}$

Answer $\frac{74}{85}\div\frac{9}{6} = \frac{148}{255}$

The following animation demonstrates the divide-by,