To convert 1.666 repeating into a fraction, we can represent it as 1.6666... = 1.6 + 0.06 + 0.006 + ... = 1 + 6/10 + 6/100 + ... = 1 + 6/10(1 + 1/10 + 1/100 + ...) = 1 + 6/10(1/(1-1/10)) = 1 + 6/10(10/9) = 1 + 6/9 = 15/9 = 5/3. Therefore, 1.666 repeating is equal to 5/3 as a fraction.
998/999
Oh, what a happy little question! When we see a repeating decimal like 1.142857, we can turn it into a fraction by noting that the repeating part is 142857. To convert this to a fraction, we put this repeating part over a series of nines equal to the number of repeating digits, which gives us 142857/999999. And just like that, we've turned our repeating decimal into a lovely fraction.
In fraction form, 53.3 repeating can be expressed as 533/9. To convert a decimal with a repeating decimal point to a fraction, we first determine the non-repeating part of the decimal (in this case, 53), then subtract it from the entire decimal to isolate the repeating part (0.3 repeating). Next, we express the repeating part as a fraction over 9 (since there is one digit repeating). Thus, 53.3 repeating is equal to 533/9 in fraction form.
1.1111 = 11111/10000 1.1111 repeating = 10/9
72/99 = 8/11
fraction of 1666 = 1666/1
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