x = 3.3333.... (1)
There are 2 repeating decimals, multiply both sides of the equation by 102 = 100 so that both equations have the same repeating digits to the right of the decimal point
100x = 333.3333... (2)
Subtract the equation (1) from equation (2)
100x
x
=
=
333.3333...
3.3333...
99x
=
330
Solve for the x in the equation to determine the equivalent fraction.
x = 33099
Since the greatest common factor of 330 and 99 is 33, we can simplify the fraction and show the same amount
33099 = 330 ÷ 3399 ÷ 33 = 103
Therefore, 10/3 is simplified fraction of 3.33 repeating. Since this is an improper fraction, converted to mixed number is:
103 = 313
Therefore, 3.33 repeating as a fraction is 10/3 and It is written as 3 1/3 in mixed number form......
2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50
Bookworm, may I know why you are on a mission to become the most hated person?
Yes, we can talk about it privately.