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

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)