What is 57/38 Divided By 2/5

Solving $\frac{57}{38}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{38} \div \frac{2}{5} = \frac{57}{38} \times \frac{5}{2}$

• Multiply the Numerators: $57 \times 5 = 285$
• Multiply the Denominators: $38 \times 2 = 76$
• Form the New Fraction: $\frac{57}{38} \times \frac{2}{5} = \frac{285}{76}$

Let's Simplify $\frac{285}{76}$

• Find the Greatest Common Divisor (GCD) of $285$ and $76$. The GCD of $285$ and $76$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{285 \div 19}{76 \div 19} = \frac{15}{4}$

Answer $\frac{57}{38}\div\frac{2}{5} = \frac{15}{4}$

The following animation demonstrates the divide-by,