What is 60/45 Divided By 4/9

Solving $\frac{60}{45}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{45} \div \frac{4}{9} = \frac{60}{45} \times \frac{9}{4}$

• Multiply the Numerators: $60 \times 9 = 540$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{60}{45} \times \frac{4}{9} = \frac{540}{180}$

Let's Simplify $\frac{540}{180}$

• Find the Greatest Common Divisor (GCD) of $540$ and $180$. The GCD of $540$ and $180$ is $180$.
• Divide both the numerator and the denominator by the GCD:$\frac{540 \div 180}{180 \div 180} = \frac{3}{1}$

Answer $\frac{60}{45}\div\frac{4}{9} = \frac{3}{1}$

The following animation demonstrates the divide-by,