What is 24/60 Divided By 4/9

Solving $\frac{24}{60}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{60} \div \frac{4}{9} = \frac{24}{60} \times \frac{9}{4}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $60 \times 4 = 240$
• Form the New Fraction: $\frac{24}{60} \times \frac{4}{9} = \frac{216}{240}$

Let's Simplify $\frac{216}{240}$

• Find the Greatest Common Divisor (GCD) of $216$ and $240$. The GCD of $216$ and $240$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 24}{240 \div 24} = \frac{9}{10}$

Answer $\frac{24}{60}\div\frac{4}{9} = \frac{9}{10}$

The following animation demonstrates the divide-by,