What is 75/54 Divided By 3/2

Solving $\frac{75}{54}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{54} \div \frac{3}{2} = \frac{75}{54} \times \frac{2}{3}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $54 \times 3 = 162$
• Form the New Fraction: $\frac{75}{54} \times \frac{3}{2} = \frac{150}{162}$

Let's Simplify $\frac{150}{162}$

• Find the Greatest Common Divisor (GCD) of $150$ and $162$. The GCD of $150$ and $162$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 6}{162 \div 6} = \frac{25}{27}$

Answer $\frac{75}{54}\div\frac{3}{2} = \frac{25}{27}$

The following animation demonstrates the divide-by,