What is 57/76 Divided By 3/5

Solving $\frac{57}{76}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{76} \div \frac{3}{5} = \frac{57}{76} \times \frac{5}{3}$

• Multiply the Numerators: $57 \times 5 = 285$
• Multiply the Denominators: $76 \times 3 = 228$
• Form the New Fraction: $\frac{57}{76} \times \frac{3}{5} = \frac{285}{228}$

Let's Simplify $\frac{285}{228}$

• Find the Greatest Common Divisor (GCD) of $285$ and $228$. The GCD of $285$ and $228$ is $57$.
• Divide both the numerator and the denominator by the GCD:$\frac{285 \div 57}{228 \div 57} = \frac{5}{4}$

Answer $\frac{57}{76}\div\frac{3}{5} = \frac{5}{4}$

The following animation demonstrates the divide-by,