1/3
Step-by-step 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