Converting 20% to Its Decimal and Fractional Equivalents

The percentage 20% is equal to:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's turn percentages into fractions. It's easy!
00:08 Think of a percentage as a fraction. The top number, or numerator, is the percentage, and the bottom number is always 100.
00:17 Now, let's use this idea in our example step-by-step.
00:33 First, split 100 into the numbers 20 and 5.
00:39 Simplify the fraction whenever you can. Great job so far!
00:43 And that's how you solve it! Great work!

Step-by-step written solution

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1

Understand the problem

The percentage 20% is equal to:

2

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} .

3

Final Answer

15 \frac{1}{5}

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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