What is 54/85 Divided By 3/2

Solving $\frac{54}{85}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{85} \div \frac{3}{2} = \frac{54}{85} \times \frac{2}{3}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{54}{85} \times \frac{3}{2} = \frac{108}{255}$

Let's Simplify $\frac{108}{255}$

• Find the Greatest Common Divisor (GCD) of $108$ and $255$. The GCD of $108$ and $255$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 3}{255 \div 3} = \frac{36}{85}$

Answer $\frac{54}{85}\div\frac{3}{2} = \frac{36}{85}$

The following animation demonstrates the divide-by,