What is 76/57 Divided By 9/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,