Convert Fraction to Percentage: Solving 10/40 Step-by-Step

To solve this problem, we will convert the fraction $\frac{10}{40}$ into a percentage by using the following steps:

• Step 1: Simplify the fraction if possible. The fraction $\frac{10}{40}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 10. Hence, we have:

  $\frac{10}{40} = \frac{1}{4}.$

• Step 2: Convert the simplified fraction to a percentage by multiplying by 100:

  $\frac{1}{4} \times 100 = 25.$

• Step 3: Write the result as a percentage:

  Thus, $\frac{1}{4} \equiv 25\%$. This means $\frac{10}{40}$ is equivalent to 25%.

Therefore, the solution to the problem is 25%.