What is 24/45 Divided By 8/9

Solving $\frac{24}{45}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{45} \div \frac{8}{9} = \frac{24}{45} \times \frac{9}{8}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $45 \times 8 = 360$
• Form the New Fraction: $\frac{24}{45} \times \frac{8}{9} = \frac{216}{360}$

Let's Simplify $\frac{216}{360}$

• Find the Greatest Common Divisor (GCD) of $216$ and $360$. The GCD of $216$ and $360$ is $72$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 72}{360 \div 72} = \frac{3}{5}$

Answer $\frac{24}{45}\div\frac{8}{9} = \frac{3}{5}$

The following animation demonstrates the divide-by,