What is 18/33 Divided By 2/5

Solving $\frac{18}{33}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{33} \div \frac{2}{5} = \frac{18}{33} \times \frac{5}{2}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $33 \times 2 = 66$
• Form the New Fraction: $\frac{18}{33} \times \frac{2}{5} = \frac{90}{66}$

Let's Simplify $\frac{90}{66}$

• Find the Greatest Common Divisor (GCD) of $90$ and $66$. The GCD of $90$ and $66$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 6}{66 \div 6} = \frac{15}{11}$

Answer $\frac{18}{33}\div\frac{2}{5} = \frac{15}{11}$

The following animation demonstrates the divide-by,