What is 54/63 Divided By 1/3

Solving $\frac{54}{63}\div\frac{1}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{63} \div \frac{1}{3} = \frac{54}{63} \times \frac{3}{1}$

• Multiply the Numerators: $54 \times 3 = 162$
• Multiply the Denominators: $63 \times 1 = 63$
• Form the New Fraction: $\frac{54}{63} \times \frac{1}{3} = \frac{162}{63}$

Let's Simplify $\frac{162}{63}$

• Find the Greatest Common Divisor (GCD) of $162$ and $63$. The GCD of $162$ and $63$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 9}{63 \div 9} = \frac{18}{7}$

Answer $\frac{54}{63}\div\frac{1}{3} = \frac{18}{7}$

The following animation demonstrates the divide-by,