What is 57/60 Divided By 3/8

Solving $\frac{57}{60}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{60} \div \frac{3}{8} = \frac{57}{60} \times \frac{8}{3}$

• Multiply the Numerators: $57 \times 8 = 456$
• Multiply the Denominators: $60 \times 3 = 180$
• Form the New Fraction: $\frac{57}{60} \times \frac{3}{8} = \frac{456}{180}$

Let's Simplify $\frac{456}{180}$

• Find the Greatest Common Divisor (GCD) of $456$ and $180$. The GCD of $456$ and $180$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 12}{180 \div 12} = \frac{38}{15}$

Answer $\frac{57}{60}\div\frac{3}{8} = \frac{38}{15}$

The following animation demonstrates the divide-by,