What is 45/54 Divided By 3/2

Solving $\frac{45}{54}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{54} \div \frac{3}{2} = \frac{45}{54} \times \frac{2}{3}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $54 \times 3 = 162$
• Form the New Fraction: $\frac{45}{54} \times \frac{3}{2} = \frac{90}{162}$

Let's Simplify $\frac{90}{162}$

• Find the Greatest Common Divisor (GCD) of $90$ and $162$. The GCD of $90$ and $162$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 18}{162 \div 18} = \frac{5}{9}$

Answer $\frac{45}{54}\div\frac{3}{2} = \frac{5}{9}$

The following animation demonstrates the divide-by,