What is 45/52 Divided By 3/2

Solving $\frac{45}{52}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{52} \div \frac{3}{2} = \frac{45}{52} \times \frac{2}{3}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{45}{52} \times \frac{3}{2} = \frac{90}{156}$

Let's Simplify $\frac{90}{156}$

• Find the Greatest Common Divisor (GCD) of $90$ and $156$. The GCD of $90$ and $156$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 6}{156 \div 6} = \frac{15}{26}$

Answer $\frac{45}{52}\div\frac{3}{2} = \frac{15}{26}$

The following animation demonstrates the divide-by,