What is 60/63 Divided By 2/5

Solving $\frac{60}{63}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{63} \div \frac{2}{5} = \frac{60}{63} \times \frac{5}{2}$

• Multiply the Numerators: $60 \times 5 = 300$
• Multiply the Denominators: $63 \times 2 = 126$
• Form the New Fraction: $\frac{60}{63} \times \frac{2}{5} = \frac{300}{126}$

Let's Simplify $\frac{300}{126}$

• Find the Greatest Common Divisor (GCD) of $300$ and $126$. The GCD of $300$ and $126$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 6}{126 \div 6} = \frac{50}{21}$

Answer $\frac{60}{63}\div\frac{2}{5} = \frac{50}{21}$

The following animation demonstrates the divide-by,