What is 24/45 Divided By 4/8

Solving $\frac{24}{45}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{45} \div \frac{4}{8} = \frac{24}{45} \times \frac{8}{4}$

• Multiply the Numerators: $24 \times 8 = 192$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{24}{45} \times \frac{4}{8} = \frac{192}{180}$

Let's Simplify $\frac{192}{180}$

• Find the Greatest Common Divisor (GCD) of $192$ and $180$. The GCD of $192$ and $180$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{192 \div 12}{180 \div 12} = \frac{16}{15}$

Answer $\frac{24}{45}\div\frac{4}{8} = \frac{16}{15}$

The following animation demonstrates the divide-by,