What is 75/72 Divided By 2/9

Solving $\frac{75}{72}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{72} \div \frac{2}{9} = \frac{75}{72} \times \frac{9}{2}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{75}{72} \times \frac{2}{9} = \frac{675}{144}$

Let's Simplify $\frac{675}{144}$

• Find the Greatest Common Divisor (GCD) of $675$ and $144$. The GCD of $675$ and $144$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 9}{144 \div 9} = \frac{75}{16}$

Answer $\frac{75}{72}\div\frac{2}{9} = \frac{75}{16}$

The following animation demonstrates the divide-by,