Decimal to fraction calculator online. How to convert decimal to fraction? This is the one-stop solution to convert it by a simple process with formula. Even more, you will find the conversion table here.
From childhood, we were very interested in numbers and equations. Remember your mathematics class when you were a kid. Playing with simple numbers was easy and fun until numbers arrived with points. Yes, it's decimals! Then we moved ahead of decimal to fraction conversion. It's very interesting for someone who loves mathematics. But it's very frustrating who doesn't like maths subject. Don't worry. This tool will help you and make your work easy.
Well, let's revise basics. Decimal is values like 2.56, 31.03, 0.004, and so on. On the other hand, fractional values are like 1/4, 1/2, 3/8, 100/990, and so on.
Look at this example to convert decimal into fraction.
Decimal = 0.5
Fraction = 1/2
What does it mean? If we divide 1 by 2 then we get the answer 0.5. It's a very easy example to understand. But some calculations can be very complex. So, for that, you can use this decimal to fraction calculator. Even more, in this article, we will discuss how to convert it manually using simple formula.
For conversion, it's important to know about units after the decimal.
Let's understand it with a simple example.
Here, 1 comes at tenths, 2 comes at hundredths, and 3 comes at thousandths.
Now, let’s find out the fraction of 0.35.
The last digit is 5 that is at the hundredths place. So, we should have to multiply and divide by 100.
(0.35 * 100) / 100 = 35/100
As a result, you will get the final fraction. In this case, it is 7/20.
So, the fraction of 0.35 is 7/20.
Let's take some more examples to understand it deeply.
What is the fraction of 1.5?
Here the last digit is at the tenth, therefore, we multiply 1.5 by 10 and divide by 10.
(1.5 * 10) / 10 = 15/10 = 3/2
So, the result is 3/2 and that is an improper fraction. Therefore, we can convert it into a proper fraction to get 11⁄2.
The final fraction is 11⁄2.
Now, let's calculate the fraction of 4.125.
Here the last digit is at the thousandth place therefore we multiply and divide 4.125 by 1000.
(4.125 * 1000) / 1000 = 4125/1000
After simplification and converting into a proper fraction we will get 41⁄8.
x = 0.0767676...
100x = 7.6767676...
100x - x = 99x = 7.6
990x = 76
x = 76/990 = 38/495
0.375 = 375/1000
gcd(375,1000) = 125
0.375 = (375/125)/(1000/125) = 3/8
0.625 = 625/1000
gcd(625,1000) = 125
0.625 = (625/125)/(1000/125) = 5/8
0.875 = 875/1000
gcd(875,1000) = 125
0.875 = (875/125)/(1000/125) = 7/8
As you can see, it's a very easy way to convert decimal to fraction. Also, you can find the full formula and calculation in this tool.
Example of repeating decimals are 0.66666666..., 4.7628888888... The main problem is entering these numbers is the last digit is repeating forever.
For example, you want to find the fraction of 0.44444... So, you can enter 0.4 in the input box. Since 4 is only the digit that keeps on repeating.
Now, let’s discuss about how we can convert a negative decimal into fraction. Here a simple rule is followed i.e.
If x = y, then –x = –y
So, to find the fraction of –1.5 just simply enter -1.5 in the input box and hit "Calculate". As a result, you will get the fraction result in negative. This function makes this tool more recommended and unique. Because you can convert positive and negative both values.
So, above all discussion was about decimal to fraction calculator. It is basically an online calculator. Also, we explained the conversion process with formula and simple examples. In addition, this tool will save your time and affort. Also, human make mistakes by doing manual calculation. But using this tool, there is no scope for mistakes.
The full calculator is made using programming languages and algorithms. For each conversion, it execute the algorithm and give you proper output. Even more, the design is very user-friendly and attractive.