What is 53/60 Divided By 3/8

Solving $\frac{53}{60}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{60} \div \frac{3}{8} = \frac{53}{60} \times \frac{8}{3}$

• Multiply the Numerators: $53 \times 8 = 424$
• Multiply the Denominators: $60 \times 3 = 180$
• Form the New Fraction: $\frac{53}{60} \times \frac{3}{8} = \frac{424}{180}$

Let's Simplify $\frac{424}{180}$

• Find the Greatest Common Divisor (GCD) of $424$ and $180$. The GCD of $424$ and $180$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{424 \div 4}{180 \div 4} = \frac{106}{45}$

Answer $\frac{53}{60}\div\frac{3}{8} = \frac{106}{45}$

The following animation demonstrates the divide-by,