1/8 as a Percent and Decimal
Fractions, decimals, and percentages are different ways to represent the same value. Understanding how to convert fractions into decimals and percentages helps in solving math problems, financial calculations, and real-life measurements. In this article, we will learn how to convert 1/8 into a decimal and percent, along with step-by-step methods and examples.
Understanding the Fraction 1/8
The fraction 1/8 represents one part out of eight equal parts of a whole.
Breaking Down 1/8
- 1 (Numerator): Represents the selected part.
- 8 (Denominator): Represents the total number of equal parts.
For example, if a pizza is divided into 8 equal slices and you take 1 slice, you have taken 1/8 of the pizza.
How to Convert 1/8 into a Decimal
To convert a fraction into a decimal, divide the numerator by the denominator.
Step-by-Step Method
Step 1: Write the Fraction as Division
1 ÷ 8
Step 2: Perform the Division
1 ÷ 8 = 0.125
So, 1/8 as a decimal is 0.125.
How to Convert 1/8 into a Percent
To convert a decimal into a percent, multiply the decimal by 100.
Step-by-Step Method
Step 1: Use the Decimal Value
Decimal form of 1/8 = 0.125
Step 2: Multiply by 100
0.125 × 100 = 12.5%
So, 1/8 as a percent is 12.5%.
Quick Conversion Table
| Fraction | Decimal | Percent |
|---|---|---|
| 1/8 | 0.125 | 12.5% |
Visual Representation of 1/8
Understanding fractions visually makes learning easier.
Imagine a chocolate bar divided into 8 equal pieces. If you eat 1 piece, you have eaten:
- Fraction: 1/8
- Decimal: 0.125
- Percent: 12.5%
This means you consumed 12.5% of the chocolate bar.
Why Converting 1/8 Is Important
Fraction conversions are used in many real-life situations.
Cooking and Baking
If a recipe requires 1/8 teaspoon of salt, it equals 0.125 teaspoon or 12.5% of one teaspoon.
Time Calculations
1/8 of one hour equals:
60 × 1/8 = 7.5 minutes
Financial Calculations
If you spend 1/8 of your budget, it means you spent 12.5% of your total money.
Alternative Method to Convert 1/8 into Percent
Another way to convert fractions into percentages is by multiplying the fraction directly by 100.
Step 1: Multiply Fraction by 100
(1/8) × 100 = 100/8
Step 2: Solve the Division
100 ÷ 8 = 12.5%
Common Mistakes While Converting Fractions
Dividing Denominator by Numerator
Always divide numerator by denominator, not the other way around.
Forgetting to Multiply by 100
After converting to decimal, you must multiply by 100 to get percentage.
Real-Life Examples of 1/8 Conversion
Food Portions
Eating 1 slice from 8 slices of pizza means you ate 12.5% of the pizza.
Academic Scores
If a student completes 1 out of 8 questions, they completed 12.5% of the test.
Shopping and Discounts
If you receive a 1/8 discount, it means you save 12.5% on the purchase.