Converting 20/50 to a Percentage: A Step-by-Step Guide

Question

Convert the fraction into a percentage:

$\frac{20}{50}=\text{?}$

00:00 Convert fractions to percentages

00:05 We need a fraction with a denominator of 100, in order to convert to a percentage

00:10 Therefore we multiply both the numerator and denominator by 2

00:17 A fraction with a denominator equal to 100 equals the numerator in percentages (X)

00:21 Apply this formula to our exercise

00:26 This is the solution

To solve this problem, we'll follow these steps:

Step 1: Simplify the fraction $\frac{20}{50}$ .
Step 2: Convert the simplified fraction into a percentage by multiplying it by 100.

Now, let's work through each step:

Step 1: Simplify the fraction $\frac{20}{50}$ :
Divide both the numerator and the denominator by their greatest common divisor, which is 10:

$\frac{20 \div 10}{50 \div 10} = \frac{2}{5}$ .

Step 2: Convert the simplified fraction to a percentage:
We multiply $\frac{2}{5}$ by 100 to convert it to a percentage:

$\frac{2}{5} \times 100\% = 40\%$ .

Therefore, the fraction $\frac{20}{50}$ as a percentage is 40\%.

40%