What is 24/27 Divided By 2/5

Solving $\frac{24}{27}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{27} \div \frac{2}{5} = \frac{24}{27} \times \frac{5}{2}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{24}{27} \times \frac{2}{5} = \frac{120}{54}$

Let's Simplify $\frac{120}{54}$

• Find the Greatest Common Divisor (GCD) of $120$ and $54$. The GCD of $120$ and $54$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 6}{54 \div 6} = \frac{20}{9}$

Answer $\frac{24}{27}\div\frac{2}{5} = \frac{20}{9}$

The following animation demonstrates the divide-by,