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.

Amina Richards 2022-10-11 Answered
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.
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Answers (2)

domwaheights0m
Answered 2022-10-12 Author has 11 answers
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.
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pezgirl79u
Answered 2022-10-13 Author has 2 answers
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 ¯
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