How to convert a fraction to decimal
Forming Educational Program / / December 28, 2020
1. Convert the denominator to 10, 100, or 1,000
This method is very simple, but it doesn't work for every fraction.
To get started, multiply the numerator and denominator by a number that converts the bottom of the fraction to 10 or 100, 1,000, and so on.
Let's say we want to convert a fraction with numerator 7 and denominator 25. We can get 100 at the bottom: just multiply 25 by 4. Don't forget about the upper part too: we get 28.
Write down the numerator separately. Count on the right in it as many digits as the zeros you got in the denominator after multiplying, and put a comma. This will be the desired decimal fraction.
In our example, the denominator is 100, which means we count two digits in the numerator and put a comma. We get 0.28.
If such a factor cannot be found, the current method will not work. Use the following.
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2. Divide the numerator by the denominator
To convert an ordinary fraction to a decimal, it is enough to divide its upper part by the lower one. The easiest way to do this, of course, is with a calculator.
If it is of fundamental importance to you to do without assistive devices, simply share numerator to denominator in columns.
For example, let's translate the fraction with numerator 7 and denominator 25. Dividing 7 by 25 by a column, we get 0.28.
An important point. With long division, you may find that the process goes in a circle and after the decimal point, repeating numbers fall into the result. In this case, this fraction cannot be converted to a final decimal. Instead, you get a periodic fraction. To record the result, put the repeated number in parentheses.
Let's say you need to translate a fraction with numerator 1 and denominator 3. Dividing 1 by 3 by a column, we get an infinite decimal fraction 0.333333333... Bring it to a short form 0, (3) - this will be the result. It reads as "zero point and three in the period."
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