What is 54/53 Divided By 3/2

Solving $\frac{54}{53}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{53} \div \frac{3}{2} = \frac{54}{53} \times \frac{2}{3}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{54}{53} \times \frac{3}{2} = \frac{108}{159}$

Let's Simplify $\frac{108}{159}$

• Find the Greatest Common Divisor (GCD) of $108$ and $159$. The GCD of $108$ and $159$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 3}{159 \div 3} = \frac{36}{53}$

Answer $\frac{54}{53}\div\frac{3}{2} = \frac{36}{53}$

The following animation demonstrates the divide-by,