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How do you convert a repeating decimal when it includes a whole number?
Wiki User
∙ 11y ago
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
Wiki User
∙ 11y ago
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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.
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.
How do you convert 1 3 as a fraction into a decimal?
To convert the mixed number 1 3 into a decimal, you divide the numerator (3) by the denominator (1): 3 ÷ 1 = 3. So, 1 3 as a decimal is simply 3.
How do you convert a repeating decimal into percent?
you use the decimal that is repeating and out that number twice. examples: .6 repeating= 66 percent 0.9 repeating= 99%
How do you convert fractions to repeating decimals?
To convert a fraction to a decimal, divide the top number by the bottom number.
What can I do if I get a repeating decimal?
You can round the decimal fraction to a suitable level of accuracy. Alternatively, you can convert the number to a rational fraction.
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 5 repeating into a fraction?
To convert a one digit repeating decimal, make a fraction of that digit over 9, so 55/99 = 5/9 You can convert any repeating digits by putting them over the same number of 9s.
How do you repeating the decimal into fractor?
You mean fraction. Fractor isn't a word at all. To convert a repeating decimal to a fraction, first multiply the decimal by 100. Ignore the digits on the right side of the decimal point and keep the number that is on the left side of the decimal point. Divide this number by 99 and simplify if necessary to get the fraction.
What is a decimal number that ends or recurs?
Decimal numbers that end or recur are known as terminating or repeating decimals. 0.75 is a terminating decimal. 0.4444 repeating is a repeating decimal.
Is .345 repeating an irrational or rational number?
Any repeating decimal digits (this includes repetition after a certain point, e.g. 2.4510101010...) is a rational number.
What is 33.3 percent repeating as a decimal?
Answer = .3 with a bar above the 3 or .3 (3 repeating) or even ~.333 (if precision isn't very important). Note: Whenever you have a number in % or "percent" that you want to convert to a decimal number, simply divide the % number by 100 (for example: 33.3 % / 100 = .333). IF the % number is known to be repeating (for example 1/3=.3 repeating=33.3% (repeating)), then you can express the percent number in decimal as .3 with a bar above the 3 or as .3 (repeating) or even ~.333 (where "~" means "approximately). All are valid expressions of 33.3 % (repeating).
What is nonterminating and not repeating decimal?
It is an infinite non-repeating decimal which represents an irrational number.
Is every rational number a repeating decimal?
No. A rational number is any terminating numeral. A repeating decimal is irrational.
