What is 60/42 Divided By 2/5

Solving $\frac{60}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{42} \div \frac{2}{5} = \frac{60}{42} \times \frac{5}{2}$

• Multiply the Numerators: $60 \times 5 = 300$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{60}{42} \times \frac{2}{5} = \frac{300}{84}$

Let's Simplify $\frac{300}{84}$

• Find the Greatest Common Divisor (GCD) of $300$ and $84$. The GCD of $300$ and $84$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 12}{84 \div 12} = \frac{25}{7}$

Answer $\frac{60}{42}\div\frac{2}{5} = \frac{25}{7}$

The following animation demonstrates the divide-by,