What is 54/43 Divided By 3/2

Solving $\frac{54}{43}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{43} \div \frac{3}{2} = \frac{54}{43} \times \frac{2}{3}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $43 \times 3 = 129$
• Form the New Fraction: $\frac{54}{43} \times \frac{3}{2} = \frac{108}{129}$

Let's Simplify $\frac{108}{129}$

• Find the Greatest Common Divisor (GCD) of $108$ and $129$. The GCD of $108$ and $129$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 3}{129 \div 3} = \frac{36}{43}$

Answer $\frac{54}{43}\div\frac{3}{2} = \frac{36}{43}$

The following animation demonstrates the divide-by,