What is 74/85 Divided By 4/9

Solving $\frac{74}{85}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{4}{9} = \frac{74}{85} \times \frac{9}{4}$

• Multiply the Numerators: $74 \times 9 = 666$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{74}{85} \times \frac{4}{9} = \frac{666}{340}$

Let's Simplify $\frac{666}{340}$

• Find the Greatest Common Divisor (GCD) of $666$ and $340$. The GCD of $666$ and $340$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{666 \div 2}{340 \div 2} = \frac{333}{170}$

Answer $\frac{74}{85}\div\frac{4}{9} = \frac{333}{170}$

The following animation demonstrates the divide-by,