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diamong [38]
3 years ago
13

When writing a repeating decimal as a fraction does the number of repeating digits use matter

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

yes it matters, if you don't know how to write a repeating decimal as a fraction you can use this trick

let's say we don't know what it is

0.33333333...

so we see that there's only one repeating digit

so the answer is

(the repeating digit)/(9)=3/9

and that simplyfies to 1/3

let's try another one

0.67676767...

as you can see know the repeating is 67

so the answer is

(the thing that repeats)/(99)=67/99

do you see a pattern?

when we have a number x of repeating decimals

the denominator of the fraction (the thing that's down) is 9999..99 in there must be x 9's

let me explain

if you have 3 repeating decimals

the denominator will be 999

you see 3 nines

and so on.

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