Please explain

posted by .

how would you convert the repeating non terminating decimal to a fraction explain the process as you solve the problem 0.1515...

  • Please explain -

    Ms. Sue anyone help me please

  • Please explain -

    0.1515=303\2000

  • Please explain -

    let x = .151515...
    there are 2 digits that repeat, so multiply each side by 100
    (if 3 digits were to repeat, I would multiply by 1000 etc)
    100x = 15.1515...
    subtract the two equations
    100x - x = 15.1515... - .1515...
    99x = 15
    x = 15/99 = 5/33

    check with a calculator

    If you had a case where there some non-repeating digits before the repeating digits follow the same method, but you will have to make an adjustment at the end

    e.g. x = 0.23456456456...
    multiply by 1000 since 3 digits repeat
    1000x = 234.56456456...
    again, subtract
    999x = 234.330000... = 234.33
    x = 234.33/999
    = 23433/99900 , do you see what I just did ?
    = 7811/33300

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Can someone help me with this problem? A) Separate the fractions 2/6, 2/5, 6/13, 1/25, 7/8, and 9/29 into two categories: those that can be written as a terminating decimal and those of non-terminating. Write an explanation of how
  2. 6th grade math

    Please check to make sure I did these correctly, so confusing. Thank you. Rename each fraction as a terminating or repeating decimal 13/20 .65 1/3 0.3333333333333333 2/9 0.2222222222222222 5/12 0.4166666666666667 1/16 0.0625 Rename …
  3. pre algebra help

    9. how you would convert the repeating, non terminating decimal to a fraction?
  4. math

    how would you convert the repating nonterminating decimal to a fraction?
  5. math

    i don't get how to do this problem mrs. sue please help how would you convert the repating nonterminating decimal to a fraction?
  6. 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 …
  7. math

    How would you convert the repeating nontermonating decimal to a fraction?
  8. Math

    9. how you would convert the repeating, non terminating decimal to a fraction?
  9. Algebra I

    **Match each word or phrase w/ its definition** Word Bank: A) least common multiple (LCM) B) repeating decimal C) reciprocals D) dimensional analysis E) terminating decimal F) least common denominator (LCD) G) multiple ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ …
  10. math

    Tell me whether each fraction. 1/n, is given as a terminating decimal or a repeating decimal for the given rules of n. Write t for terminating or r for repeating. It starts at 2- 10 which are t and r.

More Similar Questions