What is 24/42 Divided By 2/5

Solving $\frac{24}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{42} \div \frac{2}{5} = \frac{24}{42} \times \frac{5}{2}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{24}{42} \times \frac{2}{5} = \frac{120}{84}$

Let's Simplify $\frac{120}{84}$

• Find the Greatest Common Divisor (GCD) of $120$ and $84$. The GCD of $120$ and $84$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 12}{84 \div 12} = \frac{10}{7}$

Answer $\frac{24}{42}\div\frac{2}{5} = \frac{10}{7}$

The following animation demonstrates the divide-by,