Question

determine the decimal equivalent for 1/11 2/11 and 3/11. Use a pattern to mentally determine the decimal and equivalent for 7/11 and 8/11

Answer 1

In a calculator:
1/11 = 0.09090909.....
2/11 = 0.18181818.....
3/11 = 0.27272727.....
(Notice: bold numbers are multiples of 9)
There is a patern, for each multiple of 1/11 (which is equivalent to the numerator), we get a "0.", followed by the same multiple of 9 as the multiple of 11, displayed as two digits, which are repeated infinitely;
We can apply this principle to find the decimal equivalents of the two other fractions as they have the same denominator, so:

For 7/11:
We do:
7 * 9 = 63
So:
7/11 = 0.63636363..... (= 0.63 recurring)

For 8/11:
8 * 9 = 72
So:
8/11 = 0.72727272..... (= 0.72 recurring)