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The whole number remains unchanged. The portion to the right of the decimal point is converted to a proper fraction, and added to the whole number. Now if that entire portion is repeating, just write the repeating part over a number consisting of 9s, as many as there are digits in the numerator, and reduce to lowest terms. For example, 0.142857142857142857..... = 142857/999999 = 1/7.
If there are digits after the decimal point before the repeating part, convert it to a fraction by dividing by a 1 followed by as many 0s as there are digits in the dividend. For example, 0.123 = 123/1000.
Now convert the repeating part as above, and divide by that same number (the 1 followed by the 0s), and add it all together.
Example:
75.123142857142857142857..... =75 + (123 1/7)/1000 =75 + (862/7)/1000 =
75 862/7000 = 75 431/3500
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How do you convert fractions to repeating decimals?
To convert a fraction to a decimal, divide the top number by the bottom number.
Is 125 a repeating decimal?
No, 125 is not a repeating decimal. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. In the case of 125, it is a whole number and does not have any decimal places or repeating patterns. It can be written as 125.0000, but it is still a non-repeating decimal.
Can a rational number be repeating decimal?
Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...
What is non terminatin repeating decimal?
A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.
What is nonterminating and not repeating decimal?
It is an infinite non-repeating decimal which represents an irrational number.
