How To Convert Decimals To Fractions | Education




How to convert decimals to fractions

Some non-integers can be written as a decimal. In this case, after the comma separating the integer part, it is worth a certain amount of numbers that characterize the difference from an integer number. In various cases it is convenient to use either decimal or fractional. Decimal numbers can be converted into fractional.

How to convert decimals to fractions

You will need:

the ability to reduce a fraction

Instruction how to convert decimals to fractions

Step 1:

If the denominator is 10, 100 or, in general, 10 ^ n, where n - an integer, such fraction can be written as a decimal. Number of decimal places determines the denominator of a fraction. It is equal to 10 ^ n, where n - the number of characters. So, for example, 0.3 can be written as 10.03, 0.19, etc. as a 19/100

Step 2:

In some cases, the resulting fraction can be reduced. For example, 0.5 = 5/10. Use fractions reduction rules and divide the numerator and denominator by the common factor of these numbers - 5. As a result, you get 0.5 = 5/10 = 1/2.

Step 3:

Suppose now that the whole part of a decimal number is not zero. Then, this number can be translated either in the wrong fraction, where the numerator over denominator, or in a mixed number. For example: 1.7 = 1+ (7/10) 17/10 = 2.29 = 2 + (29/100) = 229/100.

Step 4:

If at the end of a decimal is one or more zeros, these zeros can be dropped and the number of transfer with the remaining number of decimal places in the fractional. Example: 1.7300 = 1.73 = 173/100.