What is 18/27 Divided By 2/5

Solving $\frac{18}{27}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{27} \div \frac{2}{5} = \frac{18}{27} \times \frac{5}{2}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{18}{27} \times \frac{2}{5} = \frac{90}{54}$

Let's Simplify $\frac{90}{54}$

• Find the Greatest Common Divisor (GCD) of $90$ and $54$. The GCD of $90$ and $54$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 18}{54 \div 18} = \frac{5}{3}$

Answer $\frac{18}{27}\div\frac{2}{5} = \frac{5}{3}$

The following animation demonstrates the divide-by,