What is 99/72 Divided By 2/5

Solving $\frac{99}{72}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{72} \div \frac{2}{5} = \frac{99}{72} \times \frac{5}{2}$

• Multiply the Numerators: $99 \times 5 = 495$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{99}{72} \times \frac{2}{5} = \frac{495}{144}$

Let's Simplify $\frac{495}{144}$

• Find the Greatest Common Divisor (GCD) of $495$ and $144$. The GCD of $495$ and $144$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{495 \div 9}{144 \div 9} = \frac{55}{16}$

Answer $\frac{99}{72}\div\frac{2}{5} = \frac{55}{16}$

The following animation demonstrates the divide-by,