What is 75/46 Divided By 3/2

Solving $\frac{75}{46}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{46} \div \frac{3}{2} = \frac{75}{46} \times \frac{2}{3}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{75}{46} \times \frac{3}{2} = \frac{150}{138}$

Let's Simplify $\frac{150}{138}$

• Find the Greatest Common Divisor (GCD) of $150$ and $138$. The GCD of $150$ and $138$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 6}{138 \div 6} = \frac{25}{23}$

Answer $\frac{75}{46}\div\frac{3}{2} = \frac{25}{23}$

The following animation demonstrates the divide-by,