Question

Give each answer as mixed number in simplest form

Answer 1

3 7/18

Step-by-step explanation:

2 1/6 + 1 2/9 (- cancels with the - to give us +)

Convert to simple fraction: 13/6 +11/9

Find the common denominator: 13x 3/6x3 + 11 x 2/9 x 2

39/18 + 22/18

Now that the denominators are same, conduct the given operation.

39 + 22/ 18

61/18

Convert into mixed fraction: 3 7/18

Final answer: 3 7/18

Answer 2

Explanation:

`= 2 (1)/(6) - ( - 1 (2)/(9) ) \\`

`= 2 (1)/(6) + 1 (2)/(9) \\`

`= (2 * 6 + 1)/(6) + (1 * 9 + 2)/(9) \\`

`= (13)/(6) + (11)/(9) \\`

`= (13)/(6) * (3)/(3) + (11)/(9) * (2)/(2) \\`

`= (39)/(18) + (22)/(18) \\`

`= (39 + 22)/(18) \\`

`= (61)/(18) \\`

`= 3 (7)/(18) \\`