What is 57/76 Divided By 2/5

Solving $\frac{57}{76}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{76} \div \frac{2}{5} = \frac{57}{76} \times \frac{5}{2}$

• Multiply the Numerators: $57 \times 5 = 285$
• Multiply the Denominators: $76 \times 2 = 152$
• Form the New Fraction: $\frac{57}{76} \times \frac{2}{5} = \frac{285}{152}$

Let's Simplify $\frac{285}{152}$

• Find the Greatest Common Divisor (GCD) of $285$ and $152$. The GCD of $285$ and $152$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{285 \div 19}{152 \div 19} = \frac{15}{8}$

Answer $\frac{57}{76}\div\frac{2}{5} = \frac{15}{8}$

The following animation demonstrates the divide-by,