How do I represent the following fraction in decimal?I would like to know how do I represent the following fraction represented in base- 8 in decimal form: ( 35 25 ) 8 It seems very hard. Please somebody help me.

Question

How do I represent the following fraction in decimal?I would like to know how do I represent the following fraction represented in base-  8 in decimal form:  (      35    25        )          8      It seems very hard. Please somebody help me.

domwaheights0m · Accepted Answer

You can do the operation in base   8 if you can do math there. All the below is in base   8 even though I do not show the subscript.                              35          25                                    =        1        +                  10          25                        =  1  +      1    10    ⋅      100    25    =  1  +      3    10    +      1    10    ⋅      1    25      =  1  +      3    10    +      1    100    ⋅      10    25      =  1.303      03    ¯  where we recognized the repeat.

pezgirl79u · Accepted Answer

Do just what you would normally do with a base   10 number: divide the numerator by the denominator. First:            35      8              25      8        =      1    8    +            10      8              25      8      Now, add a zero to the end of       10    8   to get       100    8  . Make sure that you realize that       100    8    ÷      25    8    ≠  4, but   3 with a remainder of   1. So far, we have       1.3    8    +            1      8              25      8       Continue until you get a repeating decimal.If you can also find some number       n    8   such that       25    8    ∗      n    8    =      7777...7    8  , then you can multiply both the numerator and the denominator by       n    8   to get some number over a number made entirely of sevens. The numerator is your repeating decimal. For instance,       25    8    ∗      3    8    =      77    8  , so your repeating decimal is       10    8    ∗      3    8    =      30    8  , i.e.   1.            30      ¯

How do I represent the following fraction in decimal? I would like to know how do I represent the following fraction represented in base-8 in decimal form ((35)/(25))8 It seems very hard. Please somebody help me.

Answered question

Answer & Explanation

New Questions in Pre-Algebra