Decimal to fraction calculator will help you to convert decimal values into fractions. It's a free and easy-to-use tool. Also, you will find the conversion chart 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 mathematics. Don't worry. Our tool will help you and make your work easy and fast.
Well, first of all, let's revise some 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 understand the difference between decimals and fractions.
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 the easiest example to understand. But some calculations can be very complex. So, for that, you can use this converter. Even more, in this article, we will discuss how to convert decimals into fractions manually using a simple formula. So, stay tuned.
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.
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 = 7/20
So, we can say that, fraction of 0.35 is 7/20.
Let's take some more examples.
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.
That is 11⁄2.
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.
0.625 = 625/1000
gcd(625,1000) = 125
0.625 = (625/125)/(1000/125) = 5/8
Example of repeating decimals are 0.66666666..., 4.7628888888... The main problem is entering these numbers is that, 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.
In this case, simple rule is followed.
If x = y, then –x = –y
So, to find the fraction of –1.5 just simply enter -1.5 in the input field. As a result, you will get the fraction result in negative. This function makes this tool more unique. Because you can convert both positive and negative values.