What is 24/42 Divided By 4/5

Solving $\frac{24}{42}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{42} \div \frac{4}{5} = \frac{24}{42} \times \frac{5}{4}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{24}{42} \times \frac{4}{5} = \frac{120}{168}$

Let's Simplify $\frac{120}{168}$

• Find the Greatest Common Divisor (GCD) of $120$ and $168$. The GCD of $120$ and $168$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 24}{168 \div 24} = \frac{5}{7}$

Answer $\frac{24}{42}\div\frac{4}{5} = \frac{5}{7}$

The following animation demonstrates the divide-by,