What is 54/85 Divided By 3/5

Solving $\frac{54}{85}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{85} \div \frac{3}{5} = \frac{54}{85} \times \frac{5}{3}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{54}{85} \times \frac{3}{5} = \frac{270}{255}$

Let's Simplify $\frac{270}{255}$

• Find the Greatest Common Divisor (GCD) of $270$ and $255$. The GCD of $270$ and $255$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 15}{255 \div 15} = \frac{18}{17}$

Answer $\frac{54}{85}\div\frac{3}{5} = \frac{18}{17}$

The following animation demonstrates the divide-by,