What is 18/72 Divided By 3/2

Solving $\frac{18}{72}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{72} \div \frac{3}{2} = \frac{18}{72} \times \frac{2}{3}$

• Multiply the Numerators: $18 \times 2 = 36$
• Multiply the Denominators: $72 \times 3 = 216$
• Form the New Fraction: $\frac{18}{72} \times \frac{3}{2} = \frac{36}{216}$

Let's Simplify $\frac{36}{216}$

• Find the Greatest Common Divisor (GCD) of $36$ and $216$. The GCD of $36$ and $216$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{36 \div 36}{216 \div 36} = \frac{1}{6}$

Answer $\frac{18}{72}\div\frac{3}{2} = \frac{1}{6}$

The following animation demonstrates the divide-by,