Decimal (X.Y) = Fraction (X/Y)
Free online decimal to fraction calculator – convert decimal as a fraction just enter decimal values then click the calculate button
How to convert decimals to fractions?
To convert a decimal to a fraction, you can follow these general steps:
STEP1 – Identify the decimal part and the whole number part
STEP2 – Count the number of decimal places
STEP3 – Write the decimal as a fraction over a power of 10
STEP4 – Simplify the fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it.
Solved Example
Example1 – Convert 1.625 to fractions
- Separate the decimal part and whole number, 1.625 = 1 + 0.625
- Decimal part = 0.625 = 3 decimal places
- three decimal places, the fraction will be over 10^3 (or 1000). = 625/1000
- greatest common factor (GCF) of 625 and 1000 is 125
- Simplify = 625/1000 ÷ 125/125 = 5/8
- final, 1 + 5/8 = 13/8
1.625 is equivalent to 13/8 as fractions
Decimal to Fraction table
| Decimal | Fraction | Decimal | Fraction |
|---|---|---|---|
| 0.1 | 1/10 | 0.2 | 1/5 |
| 0.3 | 3/10 | 0.4 | 2/5 |
| 0.5 | 1/2 | 0.6 | 3/5 |
| 0.7 | 7/10 | 0.8 | 4/5 |
| 0.9 | 9/10 | 1.1 | 11/10 |
| 1.2 | 6/5 | 1.3 | 13/10 |
| 1.4 | 7/5 | 1.5 | 3/2 |
| 1.6 | 8/5 | 1.7 | 17/10 |
| 1.8 | 9/5 | 1.9 | 19/10 |
| 2.1 | 21/10 | 2.2 | 11/5 |
| 2.3 | 23/10 | 2.4 | 12/5 |