Convert Fraction to Percentage: Solving 5/20 Step by Step

Question

Convert the fraction into a percentage:

$\frac{5}{20}=\text{?}$

00:00 Convert fractions to percentages

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

00:12 Determine which number to multiply the fraction by

00:22 Multiply both the numerator and denominator by 5 to obtain the denominator 100

00:35 Apply this formula to our exercise

00:40 This is the solution

To solve the problem of converting the fraction $\frac{5}{20}$ into a percentage, follow these steps:

Step 1: Simplify the Fraction (if necessary).
For $\frac{5}{20}$ , we can simplify by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
This simplifies to $\frac{1}{4}$ .
Step 2: Convert the Fraction to a Decimal.
Divide the numerator of the simplified fraction by its denominator: $\frac{1}{4} = 0.25$ .
Step 3: Convert the Decimal to a Percentage.
Multiply the decimal by 100 to change it to a percentage: $0.25 \times 100 = 25$ .

Therefore, the fraction $\frac{5}{20}$ , when converted to a percentage, is $25\%$ .

25%