What is 60/75 Divided By 2/9

Solving $\frac{60}{75}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{75} \div \frac{2}{9} = \frac{60}{75} \times \frac{9}{2}$

• Multiply the Numerators: $60 \times 9 = 540$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{60}{75} \times \frac{2}{9} = \frac{540}{150}$

Let's Simplify $\frac{540}{150}$

• Find the Greatest Common Divisor (GCD) of $540$ and $150$. The GCD of $540$ and $150$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{540 \div 30}{150 \div 30} = \frac{18}{5}$

Answer $\frac{60}{75}\div\frac{2}{9} = \frac{18}{5}$

The following animation demonstrates the divide-by,