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

Question

Convert the fraction into a percentage:

$\frac{10}{40}=\text{?}$

00:00 Convert fractions to percentages

00:05 A fraction with a denominator equal to 100 is equal to the numerator in percentage form (X)

00:14 Determine what to multiply the denominator by to obtain a denominator of 100

00:26 Multiply both the numerator and denominator by 2.5 to obtain a denominator equal to 100

00:39 Apply this formula to our exercise

00:44 This is the solution

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%.

25%