What is 75/74 Divided By 3/2

Solving $\frac{75}{74}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{74} \div \frac{3}{2} = \frac{75}{74} \times \frac{2}{3}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $74 \times 3 = 222$
• Form the New Fraction: $\frac{75}{74} \times \frac{3}{2} = \frac{150}{222}$

Let's Simplify $\frac{150}{222}$

• Find the Greatest Common Divisor (GCD) of $150$ and $222$. The GCD of $150$ and $222$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 6}{222 \div 6} = \frac{25}{37}$

Answer $\frac{75}{74}\div\frac{3}{2} = \frac{25}{37}$

The following animation demonstrates the divide-by,