Decimal to Fraction Converter
The Decimal to Fraction Converter is a user-friendly online tool, to convert Decimal to Fraction quickly.
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About Decimal and Fraction
The way to represent numbers (typically values between integers) is in decimal or fraction representation. A number represented in the base-10 system with digits to the right of the decimal point, each digit representing a fraction of ten (i.e. 0.5, 0.75). One of the reasons they’re used widely (in all sorts of fields, like currency, measurements, and scientific calculations) is that decimals just make the formatting of a part of a whole easy.
However, a fraction is a fraction of a whole expressed as a ratio of two integers (such as 1/2, 3/4). Fractions are a good way to express ratios and parts of the whole without rounding values; used in day-to-day cooking, for instance.
Conversion from Decimal numbers to Fractions
Here we have explained the simple way to convert decimal to fraction, and also given an example that will make it easier for you to understand, you will use the steps given below.
Here we have given the formula to convert decimal to fraction below
Here you type the decimal number you want to convert. For example, let us use the decimal number 0.75.Here identify the place value of the last digit after the decimal point. In the case of 0.75, the last digit after the decimal point is in the hundredth place.
Now we will write the decimal number as the numerator of a fraction. The numerator for 0.75 is 75.
The denominator will be a power of 10 based on the place value identified in the step above. For 0.75 (the hundredths place), the denominator is 100.
If possible, simplify the fraction by dividing both the numerator and denominator by their greatest common factor. In this case, both 75 and 100 can be divided by 25
So, the decimal
0.75is equivalent to the fraction .
Frequently Asked Questions (FAQ)
1. Can fractions be converted into all decimals?
Sure enough, any decimal can be represented as a fraction. Fractions convert directly to terminating decimals, repeating decimals can only be converted with algebra.
2. Why simplify fractions?
Breaking the fractions down to a much simpler form is the easiest way to understand and compare them. For instance, 4/8 can be simplified to 1/2 which is more intuitive.
3. Can you tell the difference between terminating and repeating decimals?
Finite terminating decimals are of the form that contains a finite number of digits after the decimal point (i.e. 0.25).
A repeating decimal is one that repeats one or more digits after the decimal point (e.g. 0.666…)
4. I should be able to check my fraction conversion, right?
Finally, divide the fraction’s numerator by the denominator in order to see if you get the same decimal as before.
5. What is done with irrational decimals?
The irrational numbers do not have an exact decimal representation, like π, or √2, and the way they are moved to the decimal point goes to infinity over and over, so in other words, they can not be converted to an exact fraction.
6. Can I use this converter for scientific and educational work?
Absolutely! As a student, professional, or an enthusiast, you might find the Decimal to Fraction Converter to help you with the conversion of precise decimal-based to fraction-based numbers.
A Table for Decimal to Fraction conversion
| Decimal | Fraction |
|---|---|
| 0.01 | 1/100 |
| 0.02 | 1/50 |
| 0.03 | 3/100 |
| 0.04 | 1/25 |
| 0.05 | 1/20 |
| 0.06 | 3/50 |
| 0.07 | 7/100 |
| 0.08 | 2/25 |
| 0.09 | 9/100 |
| 0.10 | 1/10 |
| 0.20 | 1/5 |
| 0.25 | 1/4 |
| 0.30 | 3/10 |
| 0.40 | 2/5 |
| 0.50 | 1/2 |
| 0.60 | 3/5 |
| 0.70 | 7/10 |
| 0.75 | 3/4 |
| 0.80 | 4/5 |
| 0.90 | 9/10 |
| 1.00 | 1/1 |