Table of Contents
Fraction
A fraction is a mathematical representation of a part of a whole, expressed as a ratio of two numbers: a numerator (top number) and a denominator (bottom number). Fractions can represent values between integers and are commonly used to describe parts, proportions, or divisions.
Decimal
A decimal, on the other hand, is a number that includes a decimal point to indicate a fraction of a whole number. It is a way of expressing fractions in base-10 notation. Decimals are used to represent real numbers in a more precise manner and are commonly used in calculations involving measurements, money, and scientific values.
How to convert fraction to decimal
To convert a fraction to a decimal, you can use division or a calculator. Here’s the step-by-step process using division:
1. Long Division Method
Let’s say you have a fraction like 3/4 and you want to convert it to a decimal.
- Divide the numerator (top number) by the denominator (bottom number).
- Write down the quotient and continue dividing if necessary until the division either terminates or repeats.
Example: Convert 3/4 to a decimal.
Solution: 0.75
——-
4 | 3.00
– 0
—–
30
– 28
—–
20
– 20
—–
0
The result is 0.75.
2. Calculator Method
Most calculators have a division function that allows you to directly convert fractions to decimals. You can simply enter the fraction (numerator divided by denominator) and obtain the decimal result.
Example: Convert 5/8 to a decimal using a calculator
Ans. 5 ÷ 8 = 0.625
Fraction to decimal conversion table
| Fraction | Decimal |
| 1/2 | 0.5 |
| 1/3 | 0.33333333 |
| 2/3 | 0.66666667 |
| 1/4 | 0.25 |
| 2/4 | 0.5 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 3/5 | 0.6 |
| 4/5 | 0.8 |
| 1/6 | 0.16666667 |
| 2/6 | 0.33333333 |
| 3/6 | 0.5 |
| 4/6 | 0.66666667 |
| 5/6 | 0.83333333 |
| 1/7 | 0.14285714 |
| 2/7 | 0.28571429 |
| 3/7 | 0.42857143 |
| 4/7 | 0.57142858 |
| 5/7 | 0.71428571 |
| 6/7 | 0.85714286 |
| 1/8 | 0.125 |
| 2/8 | 0.25 |
| 3/8 | 0.375 |
| 4/8 | 0.5 |
| 5/8 | 0.625 |
| 6/8 | 0.75 |
| 7/8 | 0.875 |
| 1/9 | 0.11111111 |
| 2/9 | 0.22222222 |
| 3/9 | 0.33333333 |
| 4/9 | 0.44444444 |
| 5/9 | 0.55555556 |
| 6/9 | 0.66666667 |
| 7/9 | 0.77777778 |
| 8/9 | 0.88888889 |
| 1/10 | 0.1 |
| 2/10 | 0.2 |
| 3/10 | 0.3 |
| 4/10 | 0.4 |
| 5/10 | 0.5 |
| 6/10 | 0.6 |
| 7/10 | 0.7 |
| 8/10 | 0.8 |
| 9/10 | 0.9 |
| 1/11 | 0.09090909 |
| 2/11 | 0.18181818 |
| 3/11 | 0.27272727 |
| 4/11 | 0.36363636 |
| 5/11 | 0.45454545 |
| 6/11 | 0.54545454 |
| 7/11 | 0.63636363 |
| 8/11 | 0.72727272 |
| 9/11 | 0.81818181 |
| 10/11 | 0.90909091 |
Learn More
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FAQs on Fraction to decimal
How do you convert a fraction to a decimal?
To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number) using division. The result of the division will give you the decimal equivalent of the fraction.
What is 3/5 as a decimal?
The decimal equivalent of 3/5 is 0.6. To get this, divide 3 by 5: 3 ÷ 5 = 0.6.
What is 3/4 written as a decimal?
The decimal equivalent of 3/4 is 0.75. To get this, divide 3 by 4: 3 ÷ 4 = 0.75.
What is 6 1/4 as a decimal?
The decimal equivalent of 6 1/4 is 6.25. To get this, add 6 to the fraction's decimal equivalent. For the fraction 1/4, divide 1 by 4: 1 ÷ 4 = 0.25. Then, add 6 to 0.25 to get 6.25.
What is 2/7 as a decimal?
The decimal equivalent of 2/7 is approximately 0.2857. To get this, divide 2 by 7 using long division or a calculator. The result is a recurring decimal: 0.2857.
