What is 54/57 Divided By 2/5

Solving $\frac{54}{57}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{57} \div \frac{2}{5} = \frac{54}{57} \times \frac{5}{2}$

• Multiply the Numerators: $54 \times 5 = 270$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{54}{57} \times \frac{2}{5} = \frac{270}{114}$

Let's Simplify $\frac{270}{114}$

• Find the Greatest Common Divisor (GCD) of $270$ and $114$. The GCD of $270$ and $114$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 6}{114 \div 6} = \frac{45}{19}$

Answer $\frac{54}{57}\div\frac{2}{5} = \frac{45}{19}$

The following animation demonstrates the divide-by,