answersLogoWhite

0


Best Answer

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

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you convert a repeating decimal when it includes a whole number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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.


What rational number has 0.34 repeating as its decimal equivalent?

The rational number that has 0.34 repeating as its decimal equivalent can be expressed as a fraction. To convert the repeating decimal 0.34 to a fraction, we can use the formula for repeating decimals, which is x = a/(10^m - 1), where a is the repeating part of the decimal and m is the number of repeating digits. In this case, a = 34 and m = 2, so the fraction is 34/99. Therefore, the rational number is 34/99.


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.


How do you convert the decimal 4.8 repeating?

Oh honey, you take that 4.8 with the little line on top that keeps on going like a broken record and you multiply it by 10 to get 48. Then you subtract the original number to get 9, and divide by 9 to simplify it to 1. So, that repeating decimal is equal to 4.8 with a line on top is 1.


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.


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 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.


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.