What is 18/45 Divided By 5/2

Solving $\frac{18}{45}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{45} \div \frac{5}{2} = \frac{18}{45} \times \frac{2}{5}$

• Multiply the Numerators: $18 \times 2 = 36$
• Multiply the Denominators: $45 \times 5 = 225$
• Form the New Fraction: $\frac{18}{45} \times \frac{5}{2} = \frac{36}{225}$

Let's Simplify $\frac{36}{225}$

• Find the Greatest Common Divisor (GCD) of $36$ and $225$. The GCD of $36$ and $225$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{36 \div 9}{225 \div 9} = \frac{4}{25}$

Answer $\frac{18}{45}\div\frac{5}{2} = \frac{4}{25}$

The following animation demonstrates the divide-by,