What is 24/45 Divided By 2/8

Solving $\frac{24}{45}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{45} \div \frac{2}{8} = \frac{24}{45} \times \frac{8}{2}$

• Multiply the Numerators: $24 \times 8 = 192$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{24}{45} \times \frac{2}{8} = \frac{192}{90}$

Let's Simplify $\frac{192}{90}$

• Find the Greatest Common Divisor (GCD) of $192$ and $90$. The GCD of $192$ and $90$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{192 \div 6}{90 \div 6} = \frac{32}{15}$

Answer $\frac{24}{45}\div\frac{2}{8} = \frac{32}{15}$

The following animation demonstrates the divide-by,