What is 46/57 Divided By 2/5

Solving $\frac{46}{57}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{57} \div \frac{2}{5} = \frac{46}{57} \times \frac{5}{2}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{46}{57} \times \frac{2}{5} = \frac{230}{114}$

Let's Simplify $\frac{230}{114}$

• Find the Greatest Common Divisor (GCD) of $230$ and $114$. The GCD of $230$ and $114$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 2}{114 \div 2} = \frac{115}{57}$

Answer $\frac{46}{57}\div\frac{2}{5} = \frac{115}{57}$

The following animation demonstrates the divide-by,