What is 60/12 Divided By 4/9

Solving $\frac{60}{12}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{12} \div \frac{4}{9} = \frac{60}{12} \times \frac{9}{4}$

• Multiply the Numerators: $60 \times 9 = 540$
• Multiply the Denominators: $12 \times 4 = 48$
• Form the New Fraction: $\frac{60}{12} \times \frac{4}{9} = \frac{540}{48}$

Let's Simplify $\frac{540}{48}$

• Find the Greatest Common Divisor (GCD) of $540$ and $48$. The GCD of $540$ and $48$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{540 \div 12}{48 \div 12} = \frac{45}{4}$

Answer $\frac{60}{12}\div\frac{4}{9} = \frac{45}{4}$

The following animation demonstrates the divide-by,