What is 48/42 Divided By 2/5

Solving $\frac{48}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{42} \div \frac{2}{5} = \frac{48}{42} \times \frac{5}{2}$

• Multiply the Numerators: $48 \times 5 = 240$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{48}{42} \times \frac{2}{5} = \frac{240}{84}$

Let's Simplify $\frac{240}{84}$

• Find the Greatest Common Divisor (GCD) of $240$ and $84$. The GCD of $240$ and $84$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 12}{84 \div 12} = \frac{20}{7}$

Answer $\frac{48}{42}\div\frac{2}{5} = \frac{20}{7}$

The following animation demonstrates the divide-by,