What is 27/72 Divided By 2/5

Solving $\frac{27}{72}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{72} \div \frac{2}{5} = \frac{27}{72} \times \frac{5}{2}$

• Multiply the Numerators: $27 \times 5 = 135$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{27}{72} \times \frac{2}{5} = \frac{135}{144}$

Let's Simplify $\frac{135}{144}$

• Find the Greatest Common Divisor (GCD) of $135$ and $144$. The GCD of $135$ and $144$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 9}{144 \div 9} = \frac{15}{16}$

Answer $\frac{27}{72}\div\frac{2}{5} = \frac{15}{16}$

The following animation demonstrates the divide-by,