What is 63/99 Divided By 2/5

Solving $\frac{63}{99}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{63}{99} \div \frac{2}{5} = \frac{63}{99} \times \frac{5}{2}$

• Multiply the Numerators: $63 \times 5 = 315$
• Multiply the Denominators: $99 \times 2 = 198$
• Form the New Fraction: $\frac{63}{99} \times \frac{2}{5} = \frac{315}{198}$

Let's Simplify $\frac{315}{198}$

• Find the Greatest Common Divisor (GCD) of $315$ and $198$. The GCD of $315$ and $198$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 9}{198 \div 9} = \frac{35}{22}$

Answer $\frac{63}{99}\div\frac{2}{5} = \frac{35}{22}$

The following animation demonstrates the divide-by,