What is 74/63 Divided By 2/5

Solving $\frac{74}{63}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{63} \div \frac{2}{5} = \frac{74}{63} \times \frac{5}{2}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $63 \times 2 = 126$
• Form the New Fraction: $\frac{74}{63} \times \frac{2}{5} = \frac{370}{126}$

Let's Simplify $\frac{370}{126}$

• Find the Greatest Common Divisor (GCD) of $370$ and $126$. The GCD of $370$ and $126$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 2}{126 \div 2} = \frac{185}{63}$

Answer $\frac{74}{63}\div\frac{2}{5} = \frac{185}{63}$

The following animation demonstrates the divide-by,