What is 75/72 Divided By 2/3

Solving $\frac{75}{72}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{72} \div \frac{2}{3} = \frac{75}{72} \times \frac{3}{2}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{75}{72} \times \frac{2}{3} = \frac{225}{144}$

Let's Simplify $\frac{225}{144}$

• Find the Greatest Common Divisor (GCD) of $225$ and $144$. The GCD of $225$ and $144$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 9}{144 \div 9} = \frac{25}{16}$

Answer $\frac{75}{72}\div\frac{2}{3} = \frac{25}{16}$

The following animation demonstrates the divide-by,