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Fraction to Decimal Conversions
Use the below conversion charts to see the decimal equivalent for common fractions and vice versa. Tables also contain data for common fractions and other same values or unreduced counterparts (e.g. 1/2, 2/4, 5/10). If you have a fraction not listed, you can use the calculator located underneath the tables.
Fraction and Decimal Conversion Table
Use the below table to find various fractions, their equivalent counterparts, decimal, and common measurement equal.
| Fraction | Unreduced Fraction Equivalents | Decimal | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1/2 | 2/4 | 3/6 | 4/8 | 5/10 | 6/12 | 7/14 | 8/16 | 9/18 | 10/20 | 11/22 | 12/24 | 0.5 |
| 1/3 | 2/6 | 3/9 | 4/12 | 5/15 | 6/18 | 7/21 | 8/24 | 9/27 | 10/30 | 11/33 | 12/36 | 0.333 |
| 2/3 | 4/6 | 6/9 | 8/12 | 10/15 | 12/18 | 14/21 | 16/24 | 18/27 | 20/30 | 22/33 | 24/36 | 0.666 |
| 1/4 | 2/8 | 3/12 | 4/16 | 5/20 | 6/24 | 7/28 | 8/32 | 9/36 | 10/40 | 11/44 | 12/48 | 0.25 |
| 3/4 | 6/8 | 9/12 | 12/16 | 15/20 | 18/24 | 21/28 | 24/32 | 27/36 | 30/40 | 33/44 | 36/48 | 0.75 |
| 1/5 | 2/10 | 3/15 | 4/20 | 5/25 | 6/30 | 7/35 | 8/40 | 9/45 | 10/50 | 11/55 | 12/60 | 0.2 |
| 2/5 | 4/10 | 6/15 | 8/20 | 10/25 | 12/30 | 14/35 | 16/40 | 18/45 | 20/50 | 22/55 | 24/60 | 0.4 |
| 3/5 | 6/10 | 9/15 | 12/20 | 15/25 | 18/30 | 21/35 | 24/40 | 27/45 | 30/50 | 33/55 | 36/60 | 0.6 |
| 4/5 | 8/10 | 12/15 | 16/20 | 20/25 | 24/30 | 28/35 | 32/40 | 36/45 | 40/50 | 44/55 | 48/60 | 0.8 |
| 1/6 | 2/12 | 3/18 | 4/24 | 5/30 | 6/36 | 7/42 | 8/48 | 9/54 | 10/60 | 11/66 | 12/72 | 0.166 |
| 5/6 | 10/12 | 15/18 | 20/24 | 25/30 | 30/36 | 35/42 | 40/48 | 45/54 | 50/60 | 55/66 | 60/72 | 0.833 |
| 1/7 | 2/14 | 3/21 | 4/28 | 5/35 | 6/42 | 7/49 | 8/56 | 9/63 | 10/70 | 11/77 | 12/84 | 0.143 |
| 2/7 | 4/14 | 6/21 | 8/28 | 10/35 | 12/42 | 14/49 | 16/56 | 18/63 | 20/70 | 22/77 | 24/84 | 0.286 |
| 3/7 | 6/14 | 9/21 | 12/28 | 15/35 | 18/42 | 21/49 | 24/56 | 27/63 | 30/70 | 33/77 | 36/84 | 0.429 |
| 4/7 | 8/14 | 12/21 | 16/28 | 20/35 | 24/42 | 28/49 | 32/56 | 36/63 | 40/70 | 44/77 | 48/84 | 0.571 |
| 5/7 | 10/14 | 15/21 | 20/28 | 25/35 | 30/42 | 35/49 | 40/56 | 45/63 | 50/70 | 55/77 | 60/84 | 0.714 |
| 6/7 | 12/14 | 18/21 | 24/28 | 30/35 | 36/42 | 42/49 | 48/56 | 54/63 | 60/70 | 66/77 | 72/84 | 0.857 |
| 1/8 | 2/16 | 3/24 | 4/32 | 5/40 | 6/48 | 7/56 | 8/64 | 9/72 | 10/80 | 11/88 | 12/96 | 0.125 |
| 3/8 | 6/16 | 9/24 | 12/32 | 15/40 | 18/48 | 21/56 | 24/64 | 27/72 | 30/80 | 33/88 | 36/96 | 0.375 |
| 5/8 | 10/16 | 15/24 | 20/32 | 25/40 | 30/48 | 35/56 | 40/64 | 45/72 | 50/80 | 55/88 | 60/96 | 0.625 |
| 7/8 | 14/16 | 21/24 | 28/32 | 35/40 | 42/48 | 49/56 | 56/64 | 63/72 | 70/80 | 77/88 | 84/96 | 0.875 |
| 1/9 | 2/18 | 3/27 | 4/36 | 5/45 | 6/54 | 7/63 | 8/72 | 9/81 | 10/90 | 11/99 | 12/108 | 0.111 |
| 2/9 | 4/18 | 6/27 | 8/36 | 10/45 | 12/54 | 14/63 | 16/72 | 18/81 | 20/90 | 22/99 | 24/108 | 0.222 |
| 4/9 | 8/18 | 12/27 | 16/36 | 20/45 | 24/54 | 28/63 | 32/72 | 36/81 | 40/90 | 44/99 | 48/108 | 0.444 |
| 5/9 | 10/18 | 15/27 | 20/36 | 25/45 | 30/54 | 35/63 | 40/72 | 45/81 | 50/90 | 55/99 | 60/108 | 0.555 |
| 7/9 | 14/18 | 21/27 | 28/36 | 35/45 | 42/54 | 49/63 | 56/72 | 63/81 | 70/90 | 77/99 | 84/108 | 0.777 |
| 8/9 | 16/18 | 24/27 | 32/36 | 40/45 | 48/54 | 56/63 | 64/72 | 72/81 | 80/90 | 88/99 | 96/108 | 0.888 |
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How to Convert a Fraction to a Decimal
Converting a fraction to a decimal requires you to perform the division problem contained within the fraction.
A fraction is a visual representation of "divided by" - meaning the top value divided by the bottom value.
To find the decimal equivalent of 1/4, we would perform: 1 ÷ 4 = 0.25
The parts of a fraction
Conversion Method: Calculator
When converting a fraction into a decimal the easiest method is using a calculator. Plug the numerator in, hit "divide", then plug the denominator in and voila! You'll have your decimal equivalent.
Conversion Method: Long Division
If you don't have a calculator, you'll have to go back to grade school, when you performed division by hand. If you plan to use this method, we recommend reducing the fraction you have to its lowest terms to make the long division easier.
For example: if you start with 8/16, both of these numbers are divisible by 2 - so we can reduce to 4/8 then again to 2/4 then one more time to 1/2 to find its lowest terms.
Long Division Example for: 1/4
0.25
______
4 ) 1.00
0
---
1 0
8
---
20
20
---
0
How to convert a decimal into a fraction
Going the other way, converting a decimal into a fraction, consists of: identifying the last decimal place, identifying your place value, then find the simplest fraction with your values.
For example: 0.25
- Identify the last decimal place: in our decimal the 0.2 is the tenths place, and 0.25 is the hundredths place
- Identify your place value: use the corresponding multiple of 10 to your decimal place, tenths = 10, hundredths = 100
- Find the simplest fraction: place the decimal digits over the place value, 25 / 100, then reduce = 1 / 4
Last Decimal Place
The very last digit of your decimal is used to determine the last decimal place.
Place Value
The equivalent multiple of 10, as the position of the last decimal place. Think to yourself: how many places am I away from the decimal? Then add that many zeros behind 1 to get the appropriate place value.
Common fractions to decimals
1/8 as a decimal: 0.125
3/8 as a decimal: 0.375
5/8 as a decimal: 0.625
7/8 as a decimal: 0.875
1/4 as a decimal: 0.25
2/4 as a decimal: 0.50
3/4 as a decimal: 0.75
1/5 as a decimal: 0.20
2/5 as a decimal: 0.40
3/5 as a decimal: 0.60
4/5 as a decimal: 0.80
FAQ
How do you convert a fraction to a decimal?
Divide the numerator by the denominator.
Example: 3 ÷ 4 = 0.75.
Why does my fraction turn into a long decimal?
Some fractions don't divide evenly, so the decimal either repeats or continues indefinitely (e.g. 1/3 = 0.333…).
What is a terminating vs. repeating decimal?
Terminating decimal: ends (e.g. 1/4 = 0.25)
Repeating decimal: repeats a digit or pattern (e.g. 2/9 = 0.222…)
How can I tell if a fraction will terminate?
If the denominator (after simplifying) only contains the prime factors 2 and/or 5, the decimal will terminate.
Is 0.75 the same as 3/4?
Yes. 0.75 × 4 = 3, so they're equivalent.
Is 1/3 equal to 0.33 or 0.333?
0.333… (repeating).
0.33 is only an approximation.
Why does 1/8 convert cleanly but 1/6 doesn't?
1/8 divides by powers of 2, while 1/6 includes a factor of 3, which causes repetition.
When should I use decimals instead of fractions?
Decimals are easier for measurements, money, and calculators, while fractions are often clearer for ratios.
Are decimals more accurate than fractions?
No. Fractions are often more exact. Decimals may be rounded approximations.
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