What is 75/17 Divided By 3/2

Solving $\frac{75}{17}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{17} \div \frac{3}{2} = \frac{75}{17} \times \frac{2}{3}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $17 \times 3 = 51$
• Form the New Fraction: $\frac{75}{17} \times \frac{3}{2} = \frac{150}{51}$

Let's Simplify $\frac{150}{51}$

• Find the Greatest Common Divisor (GCD) of $150$ and $51$. The GCD of $150$ and $51$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 3}{51 \div 3} = \frac{50}{17}$

Answer $\frac{75}{17}\div\frac{3}{2} = \frac{50}{17}$

The following animation demonstrates the divide-by,