What is 75/34 Divided By 3/2

Solving $\frac{75}{34}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{34} \div \frac{3}{2} = \frac{75}{34} \times \frac{2}{3}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $34 \times 3 = 102$
• Form the New Fraction: $\frac{75}{34} \times \frac{3}{2} = \frac{150}{102}$

Let's Simplify $\frac{150}{102}$

• Find the Greatest Common Divisor (GCD) of $150$ and $102$. The GCD of $150$ and $102$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 6}{102 \div 6} = \frac{25}{17}$

Answer $\frac{75}{34}\div\frac{3}{2} = \frac{25}{17}$

The following animation demonstrates the divide-by,