What is 75/12 Divided By 9/2

Solving $\frac{75}{12}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{12} \div \frac{9}{2} = \frac{75}{12} \times \frac{2}{9}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $12 \times 9 = 108$
• Form the New Fraction: $\frac{75}{12} \times \frac{9}{2} = \frac{150}{108}$

Let's Simplify $\frac{150}{108}$

• Find the Greatest Common Divisor (GCD) of $150$ and $108$. The GCD of $150$ and $108$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 6}{108 \div 6} = \frac{25}{18}$

Answer $\frac{75}{12}\div\frac{9}{2} = \frac{25}{18}$

The following animation demonstrates the divide-by,