What is 2.305 as a fraction in simplest form?

Question

Please and thank you...yeah im stupid lol

Answer 1

2.305 is read as 2 and 305 thousandths, so it is 2305/1000, which simplifies to:

461/200 or 2 61/200

Answer 2

note

2.305 = 2 305/1000

305 and 1000 are both divisible by 5

305/5 = 61 and 1000/5 = 200

20

2 305/1000 = 2 61/200

Answer 3

The fractional part is 305/1000. Reduce to lowest terms by factoring into primes:

305 = 5×61

1000 = 2³×5³

Both numbers have 5 as a factor, so they cancel out.

305/1000 = 61/(2³×5²) = 61/200

2.305 = 2 and 61/200

If the whole thing has to be a fraction then

2.305 = 461/200

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