Converting 20% to Its Decimal and Fractional Equivalents

Question

The percentage 20% is equal to:

Video Solution

Solution Steps

00:00 Convert from percentages to fractions
00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:10 Apply this formula to our exercise
00:30 Break down 100 into factors of 20 and 5
00:33 Reduce wherever possible
00:40 This is the solution

Step-by-Step Solution

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

  • Step 1: Convert 20% to a fraction by dividing by 100.
  • Step 2: Simplify the resulting fraction, if necessary.

Now, let's work through each step:
Step 1: Convert 20% to a fraction:
The percentage 20% can be written as 20100\frac{20}{100}.

Step 2: Simplify the fraction:
To simplify 20100\frac{20}{100}, we find the greatest common divisor of 20 and 100, which is 20.
Divide both the numerator and the denominator by 20:
20÷20100÷20=15\frac{20 \div 20}{100 \div 20} = \frac{1}{5}.

Therefore, the fraction equivalent to 20% is 15\frac{1}{5}.

Thus, the correct answer is choice 2: 15 \frac{1}{5} .

Answer

15 \frac{1}{5}