What is 42/63 Divided By 2/5

Solving $\frac{42}{63}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{63} \div \frac{2}{5} = \frac{42}{63} \times \frac{5}{2}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $63 \times 2 = 126$
• Form the New Fraction: $\frac{42}{63} \times \frac{2}{5} = \frac{210}{126}$

Let's Simplify $\frac{210}{126}$

• Find the Greatest Common Divisor (GCD) of $210$ and $126$. The GCD of $210$ and $126$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 42}{126 \div 42} = \frac{5}{3}$

Answer $\frac{42}{63}\div\frac{2}{5} = \frac{5}{3}$

The following animation demonstrates the divide-by,