What is 45/63 Divided By 2/7

Solving $\frac{45}{63}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{63} \div \frac{2}{7} = \frac{45}{63} \times \frac{7}{2}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $63 \times 2 = 126$
• Form the New Fraction: $\frac{45}{63} \times \frac{2}{7} = \frac{315}{126}$

Let's Simplify $\frac{315}{126}$

• Find the Greatest Common Divisor (GCD) of $315$ and $126$. The GCD of $315$ and $126$ is $63$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 63}{126 \div 63} = \frac{5}{2}$

Answer $\frac{45}{63}\div\frac{2}{7} = \frac{5}{2}$

The following animation demonstrates the divide-by,