What is 63/42 Divided By 3/5

Solving $\frac{63}{42}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{63}{42} \div \frac{3}{5} = \frac{63}{42} \times \frac{5}{3}$

• Multiply the Numerators: $63 \times 5 = 315$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{63}{42} \times \frac{3}{5} = \frac{315}{126}$

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

The following animation demonstrates the divide-by,