Answered

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I dont understand how the answer is 1/3. how do you calculate that answer????

I Dont Understand How The Answer Is 13 How Do You Calculate That Answer class=

Sagot :

1/3

Explanation:

To convert repeating decimals to fraction, we need to represent it with a variable

let n = 0.3333...

Multiply the above by 100:

100n = 33.3333...

The 3 dots after the 3333 means the numbers continues; hence indicating a repeating decimal

n = 0.3333 ...equation 1

100n = 33.3333 ...equation 2

subtract equation 1 from 2:

100n - n = 33.3333 - 0.3333

100n - n = 99n

99n = 33

divide both sides by 99:

99n/99 = 33/99

n = 1/3

Therefore, 0.3 repeating decimal in fraction is 1/3

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