What is 24/74 Divided By 4/9

Solving $\frac{24}{74}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{74} \div \frac{4}{9} = \frac{24}{74} \times \frac{9}{4}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $74 \times 4 = 296$
• Form the New Fraction: $\frac{24}{74} \times \frac{4}{9} = \frac{216}{296}$

Let's Simplify $\frac{216}{296}$

• Find the Greatest Common Divisor (GCD) of $216$ and $296$. The GCD of $216$ and $296$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 8}{296 \div 8} = \frac{27}{37}$

Answer $\frac{24}{74}\div\frac{4}{9} = \frac{27}{37}$

The following animation demonstrates the divide-by,