What is 72/75 Divided By 5/2

Solving $\frac{72}{75}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{75} \div \frac{5}{2} = \frac{72}{75} \times \frac{2}{5}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{72}{75} \times \frac{5}{2} = \frac{144}{375}$

Let's Simplify $\frac{144}{375}$

• Find the Greatest Common Divisor (GCD) of $144$ and $375$. The GCD of $144$ and $375$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 3}{375 \div 3} = \frac{48}{125}$

Answer $\frac{72}{75}\div\frac{5}{2} = \frac{48}{125}$

The following animation demonstrates the divide-by,