What is 45/63 Divided By 3/7

Solving $\frac{45}{63}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{63} \div \frac{3}{7} = \frac{45}{63} \times \frac{7}{3}$

• Multiply the Numerators: $45 \times 7 = 315$
• Multiply the Denominators: $63 \times 3 = 189$
• Form the New Fraction: $\frac{45}{63} \times \frac{3}{7} = \frac{315}{189}$

Let's Simplify $\frac{315}{189}$

• Find the Greatest Common Divisor (GCD) of $315$ and $189$. The GCD of $315$ and $189$ is $63$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 63}{189 \div 63} = \frac{5}{3}$

Answer $\frac{45}{63}\div\frac{3}{7} = \frac{5}{3}$

The following animation demonstrates the divide-by,