Convert 3/25 to a Percentage: Fraction to Value Conversion

Question

Convert the fraction into a percentage:

$\frac{3}{25}=\text{?}$

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)

00:13 Determine how much we need to multiply the denominator by to obtain a denominator equal to 100

00:23 Multiply both the numerator and denominator by 4 to obtain a denominator equal to 100

00:36 Apply this formula to our exercise

00:41 This is the solution

To convert the fraction $\frac{3}{25}$ into a percentage, we will perform the following steps:

Step 1: Recognize that the given fraction is $\frac{3}{25}$ .
Step 2: Use the formula for conversion: $\text{Percentage} = \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times 100\%$ .
Step 3: Calculate $\frac{3}{25}$ :
$\frac{3}{25} = 0.12$ .
Step 4: Multiply the decimal by 100 to convert it to a percentage:
$0.12 \times 100 = 12\%$ .

Thus, the solution to the problem is $\boxed{12\%}$ .

12%