What is 54/72 Divided By 2/5

Solving $\frac{54}{72}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{72} \div \frac{2}{5} = \frac{54}{72} \times \frac{5}{2}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{54}{72} \times \frac{2}{5} = \frac{270}{144}$

Let's Simplify $\frac{270}{144}$

• Find the Greatest Common Divisor (GCD) of $270$ and $144$. The GCD of $270$ and $144$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 18}{144 \div 18} = \frac{15}{8}$

Answer $\frac{54}{72}\div\frac{2}{5} = \frac{15}{8}$

The following animation demonstrates the divide-by,