What is 75/18 Divided By 2/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,