What is 54/63 Divided By 5/3

Solving $\frac{54}{63}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{63} \div \frac{5}{3} = \frac{54}{63} \times \frac{3}{5}$

• Multiply the Numerators: $54 \times 3 = 162$
• Multiply the Denominators: $63 \times 5 = 315$
• Form the New Fraction: $\frac{54}{63} \times \frac{5}{3} = \frac{162}{315}$

Let's Simplify $\frac{162}{315}$

• Find the Greatest Common Divisor (GCD) of $162$ and $315$. The GCD of $162$ and $315$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 9}{315 \div 9} = \frac{18}{35}$

Answer $\frac{54}{63}\div\frac{5}{3} = \frac{18}{35}$

The following animation demonstrates the divide-by,