Question

Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5

Answer 1

9514 1404 393

Answer:

2) 1/3

Explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

`x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=(3)/(9)\\\\0.\overline{3}=(1)/(3)`

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Your calculator can help you answer this:

1/5 = 0.2

1/3 = 0.333.... (repeating) . . . . the number you're looking for

3/10 = 0.3

3/5 = 0.6