If you’ve been stumped by the question of “how to convert a fraction to a decimal,” you’ve come to the right place, Fraction to Decimal Calculator. It’s quick and simple to use, and you can even adjust the rounding. Using this calculator will make it easier for you to solve your math problem, help you and your math to divide numerators and denominators, you will learn to use this calculator, you will learn the differences between fraction and decimals.
Further, on our site, you can find more math calculators about fractions and decimals, such as Decimal Calculator, Fraction to Percent Calculator, Decimal to Percent Converter.
Fraction vs. Decimals – What are they?
Fractions are two-number ratios. These are frequently full numbers, such as 1/2 or 3/4. However, fractions can also be employed to indicate partial number ratios. They’re typically employed for pieces that can be readily separated. Fractions are a distinct method of expressing division. For instance, 3/4 might signify “three fourths” or “three splits by four”.
Decimals are numbers between integers that are represented by digits after a decimal point. They employ a system of numbers based on tenths; hence the spaces after the decimal point are referred to as tenths, hundredths, thousandths, and so on.
Similarities
Because both fractions and decimals are means of expressing partial numbers, they are comparable. In addition, fractions can be represented as decimals by dividing the ratio by two (As an example, 3/4 is 3 divided by 4, or 0.75). Decimals can also be stated as fractions, such as tenths, hundredths, and thousandths (For example, 0.327 is equal to 327 thousandths, or 327/1,000).
Differences
One major distinction between fractions and decimals is that fractions are often straightforward formulations of whole-number ratios. However, they don’t always split into a decimal that’s straightforward to represent. When 1/3 is split, for example, 0.33333 creates a repeating decimal. Simply inverting a fraction, it may be transformed to its reciprocal, the number that can be multiplied to get 1. The reciprocal of 2/5, for example, is 5/2.
On the other hand, decimals may be used to represent lengthy, complicated, and perhaps infinite numbers, such as the value of PI. They can also be used to describe partial numbers when there isn’t a whole-number ratio to construct a fraction.
Converting Fractions to Decimals
Simply divide the top number by the lower number to convert a fraction to a decimal. Add a number to your final result if you see a number before the fraction.
How to Convert a Fraction to a Decimal Without Calculator?
If feasible, find the corresponding fraction with a power of 10 as the denominator. You may achieve this by multiplying or dividing the original form’s numerator and denominator by the same number. Because you’re effectively multiplying by 1 (2/2 in the case below), the operation has no effect on the value.
Do this in such a manner that the numerator ultimately becomes a full number. Consider the following scenario:
\frac {2}{5}=\frac {2\cdot2}{5\cdot 2}=\frac {4}{10}=0.4How to Convert Improper Fractions to Decimals?
To convert a proper or improper fraction to a decimal, it’s important to remember that proper fractions (and their decimal equivalents) are always higher than 0 but less than 1. Improper fractions (and their decimal counterparts) are never less than one.
Fraction to Decimal – Table of the Most Common Conversions
| FRACTION | DECIMAL |
| 1/2 | 0.5 |
| 1/3 | 0.333… |
| 2/3 | 0.666… |
| 1/4 | 0.25 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 3/5 | 0.6 |
| 4/5 | 0.8 |
| 1/6 | 0.1666… |
| 5/6 | 0.8333… |
| 1/8 | 0.125 |
| 3/8 | 0.375 |
| 5/8 | 0.625 |
| 7/8 | 0.875 |
| 1/9 | 0.111… |
| 2/9 | 0.222… |
| 4/9 | 0.444… |
| 5/9 | 0.555… |
| 7/9 | 0.777… |
| 8/9 | 0.888… |
| 1/10 | 0.1 |
| 1/12 | 0.08333… |
| 1/16 | 0.0625 |
| 1/32 | 0.03125 |
| 1/64 | 0.015625 |
Fraction to Decimal Converter – How to Use?
This calculator is easy to use, follow the steps below, they are not long:
- Decide on a fraction form. Leave “simple” if the fraction does not include a whole number; if it does, pick “mixed.”
- In the fraction to decimal calculator, enter the top portion of your fraction in the “numerator” box and the bottom part in the “denominator” field. If you choose the mixed number option, you must also enter the entire number.
- In the fourth parameter of the fraction to decimal converter, you may choose how many decimal places you wish to round the output to. If you select the custom option, a new field will appear in the fraction to the decimal calculator.
The decimal can be rounded up to 15 places.
- The fraction will be converted to a decimal by the calculator, and the result will be printed at the bottom.
Fraction to Decimal Converter – Example
As we have seen, our calculator is very simple. We will now work on one example to make it clearer to you. So let’s go step by step. For fraction form we will take simple. We take the number 68 as the numerator, and the denominator is 37. For the number of decimals we want to be our result, we take 9. And that’s it. The result will be calculated and in our case it is 2.193548387.
FAQ
How do I convert a fraction to a decimal?
The division symbol is used to rewrite the line that separates the numerator and denominator in a fraction. Divide the numerator by the denominator to convert a fraction to a decimal. You may accomplish this with a calculator if necessary. As a result, we’ll have a decimal answer.
What is 1/3 as a decimal?
In decimal form, 1/3 is 0.3333.
How to convert a decimal into a fraction?
Place the decimal number above its place value to convert a decimal to a fraction. For example, the six in 0.6 is in the tenth place, therefore we multiply 6 by 10 to get the equal fraction, 6/10.
How to convert repeating decimals to fractions?
Just follow these steps:
replace x with the repeating decimal you’re converting to a fraction;
look for the repeated digit in the repeating decimal (s);
the repeating digit should be placed to the left of the decimal point (s);
the repeating digit should be placed to the right of the decimal point (s);
subtract the left sides of the two equations using the two equations you got in steps 3 and 4. After that, subtract the right sides of the two equations.
Simply ensure that the difference on both sides is positive as you subtract.
