What is 54/27 Divided By 2/5

Solving $\frac{54}{27}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{27} \div \frac{2}{5} = \frac{54}{27} \times \frac{5}{2}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{54}{27} \times \frac{2}{5} = \frac{270}{54}$

Let's Simplify $\frac{270}{54}$

• Find the Greatest Common Divisor (GCD) of $270$ and $54$. The GCD of $270$ and $54$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 54}{54 \div 54} = \frac{5}{1}$

Answer $\frac{54}{27}\div\frac{2}{5} = \frac{5}{1}$

The following animation demonstrates the divide-by,