Like this. You call your number "x", and write:x = 0.435435... (equation 1)
1000x = 435.435435... (equation 2)
Then, you subtract equation 1 from equation 2, and solve for "x". This will give you "x" as a fraction.
Note: The factor 1000 was chosen because the period (number of repeating digits) is 3, and 1000 has 3 zeros.
0.6666 repeating = 2/3
123/999
To express 0.16 repeating as a percentage, we first need to convert it to a fraction. Since the decimal 0.16 repeats indefinitely, we can represent it as 16/99 in fraction form. To convert this fraction to a percentage, we multiply by 100 to get 1600/99. Therefore, 0.16 repeating is equivalent to approximately 16.16% when rounded to two decimal places.
0.161616... = 16/99 which cannot be simplified.
To simplify the fraction 0.36363636363, we can represent it as x = 0.36363636363. To convert this repeating decimal to a fraction, we set x equal to the repeating part (36) and the non-repeating part (36) and solve for x. This gives us x = 36/99, which simplifies to 4/11. Therefore, the simplified fraction of 0.36363636363 is 4/11.
0.2 a repeating decimal into a fraction = 2/9
0.6666 repeating = 2/3
0.999 repeating = 1 (the integer).
If you convert repeating decimals into a fraction, you see that the repeating decimals are rational.
It is 2/3.
56/99
Just have a go.
sexx
123/999
998/999
0.555555555... = 5/9
998/999