What is 45/52 Divided By 3/8

Solving $\frac{45}{52}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{52} \div \frac{3}{8} = \frac{45}{52} \times \frac{8}{3}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{45}{52} \times \frac{3}{8} = \frac{360}{156}$

Let's Simplify $\frac{360}{156}$

• Find the Greatest Common Divisor (GCD) of $360$ and $156$. The GCD of $360$ and $156$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 12}{156 \div 12} = \frac{30}{13}$

Answer $\frac{45}{52}\div\frac{3}{8} = \frac{30}{13}$

The following animation demonstrates the divide-by,