1/5 as a Percent and Decimal
Fractions, decimals and percentages are three ways of writing the same value. This page shows, step by step, how to turn 1/5 into a decimal and then into a percent, with a few everyday examples so the method sticks.
Understanding the fraction 1/5
1/5 means 1 part out of 5 equal parts of a whole. The top number is the numerator, the part you have. The bottom number is the denominator, the total number of equal parts.
Breaking down 1/5
- 1 (Numerator): the part you have or use.
- 5 (Denominator): the total number of equal parts in the whole.
For example, if a pizza is cut into 5 equal slices and you eat 1 slice, you have eaten 1/5 of the pizza.
How to convert 1/5 into a decimal
Divide the numerator by the denominator.
Step 1: Write it as division: 1 ÷ 5
Step 2: Work it out: 1 ÷ 5 = 0.2
So, 1/5 as a decimal is 0.2.
How to convert 1/5 into a percent
Take the decimal and multiply it by 100.
Step 1: Start with the decimal: 0.2
Step 2: Multiply by 100: 0.2 × 100 = 20%
So, 1/5 as a percent is 20%.
Quick conversion table
| Fraction | Decimal | Percent |
|---|---|---|
| 1/5 | 0.2 | 20% |
Visual representation of 1/5
Picture a chocolate bar cut into 5 equal pieces. Eating 1 piece means you have eaten 1/5 of the bar, which is 0.2 as a decimal and 20% as a percent. The bar, the decimal and the percent all describe the same share, just in different forms.
Why this conversion matters
Cooking and baking
If a recipe asks for 1/5 cup of sugar, that is the same as 0.2 cup, or 20% of one cup.
Time
1/5 of one hour is 60 × 1/5 = 12 minutes.
Money and shopping
If you spend 1/5 of your budget, you have spent 20% of your total money. A discount of the same size means you save that share of the price.
Another way to get the percent
Multiply the fraction by 100 directly: (1/5) × 100 = 100/5 = 20%.
Common mistakes
Dividing the wrong way round. Always divide the numerator by the denominator, not the other way round.
Forgetting the × 100 step. The decimal alone is not the percent. Multiplying by 100 is what turns it into a percent.
Real-life examples
Food: Eating 1 slice from 5 slices means you ate 20% of the pizza.
Academic scores: Finishing 1 out of 5 assignments, or scoring 1 out of 5 marks, means you finished or scored 20% of the work.
Shopping: A discount equal to 1/5 of the price saves you 20% of what you would have paid.
Learn more
For a video explanation of this topic, see Khan Academy: Fraction, decimal, and percent from a visual model.
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