What is 57/76 Divided By 4/9

Solving $\frac{57}{76}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{76} \div \frac{4}{9} = \frac{57}{76} \times \frac{9}{4}$

• Multiply the Numerators: $57 \times 9 = 513$
• Multiply the Denominators: $76 \times 4 = 304$
• Form the New Fraction: $\frac{57}{76} \times \frac{4}{9} = \frac{513}{304}$

Let's Simplify $\frac{513}{304}$

• Find the Greatest Common Divisor (GCD) of $513$ and $304$. The GCD of $513$ and $304$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{513 \div 19}{304 \div 19} = \frac{27}{16}$

Answer $\frac{57}{76}\div\frac{4}{9} = \frac{27}{16}$

The following animation demonstrates the divide-by,