# pre-Algebra

posted by .

Write the following as a fraction and show your work. 0.83 (the three is repeating) I don't know how to do it with only one of the numbers repeating and it is not in my book.

• pre-Algebra -

Here is a neat algorithm to change any repeating decimal into an exact fraction

Assume you have only the decimal portion of your number, ie, for 4.5676767... consider only the 5676767..

For the numerator, write down all the digits to the end of your repeat, subtract from that the part that does not repeat.

For the denominator, write down a 9 for each digit in the repeating loop, followed by the number of digits that don't repeat.

e.g. 0.45676767..
=(4567-45)/9900
=4522/9900, now reduce to
2261/9900

.833333. = (83-8)/90
= 75/90
= 5/6

## Similar Questions

1. ### math

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 A)15 B)15/2 C)-15 D)1/15 I chose A 2)Find the sum of the infinite geometric series. Sigma sign with infinity symbol above and n=1 below. To the right 20(-1/4)n-1 A)25 B)80/3 …
2. ### math

How do you write repeating decimals as fractions?

this is from homework work book . write each fraction or mixed numberas a decimal. use bar notation if the decimal is a repeating decimal
4. ### Math

Express the repeating decimal 0.513 (the 13 is repeating) as a fraction in lowest terms using the infinite geometric series method.

12. Which of the following numbers is an example of an integer?

Find three decimals between each of the following pairs of decimals: A: 4.333333333(repeating 3) and 4.3 B: 203.76(repeating 7,6) and 203.7(repeating 7)
7. ### Math

Arrange the following real numbers in order from greatest to least: 0.8, 0.8(repeating 8), 0.89(repeating 89), 0.889( repeating the second 8 and 9), and 0.88. I think I got it, but just want to make sure.
8. ### algebra

i need you to check my answers for the following questions: use the table to answer problems 1 to 4. the table lists the commuting times for 5 people. write each ratio in the form a/b, and then as a decimal. tell whether each decimal …
9. ### Pre algebra

Which of these nonterminating decimals can be converted into a rational number A 0.48907542 repeating B 0.02020202 repeating C 0.92589542 repeating D 0.10203040 repeating ******* Paul is painting a square wall with an area of 115 square …
10. ### Math

Which one of the following is an example of a repeating decimal?

More Similar Questions