What is 24/76 Divided By 4/9

Solving $\frac{24}{76}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{76} \div \frac{4}{9} = \frac{24}{76} \times \frac{9}{4}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $76 \times 4 = 304$
• Form the New Fraction: $\frac{24}{76} \times \frac{4}{9} = \frac{216}{304}$

Let's Simplify $\frac{216}{304}$

• Find the Greatest Common Divisor (GCD) of $216$ and $304$. The GCD of $216$ and $304$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 8}{304 \div 8} = \frac{27}{38}$

Answer $\frac{24}{76}\div\frac{4}{9} = \frac{27}{38}$

The following animation demonstrates the divide-by,