What is 18/75 Divided By 9/2

Solving $\frac{18}{75}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{75} \div \frac{9}{2} = \frac{18}{75} \times \frac{2}{9}$

• Multiply the Numerators: $18 \times 2 = 36$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{18}{75} \times \frac{9}{2} = \frac{36}{675}$

Let's Simplify $\frac{36}{675}$

• Find the Greatest Common Divisor (GCD) of $36$ and $675$. The GCD of $36$ and $675$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{36 \div 9}{675 \div 9} = \frac{4}{75}$

Answer $\frac{18}{75}\div\frac{9}{2} = \frac{4}{75}$

The following animation demonstrates the divide-by,