Question

3 1/6 + (- 2 5/9)-1 21/36

Answer 1

Ответ:

31/6+(-2 5/9)-21/36=31/6-2 5/9-21/36 =31/6-23/9-21/36=73/36= 2 1/36

Answer 2

To add and subtract mixed numbers, you should first convert them into improper fractions, then perform the calculations.

Let's convert each mixed number into an improper fraction:

1. 3 1/6 as an improper fraction: 3 1/6 = (6 * 3 + 1) / 6 = (18 + 1) / 6 = 19/6

2. -2 5/9 as an improper fraction: -2 5/9 = (9 * -2 - 5) / 9 = (-18 - 5) / 9 = -23/9

3. 1 21/36 as an improper fraction: 1 21/36 = (36 * 1 + 21) / 36 = (36 + 21) / 36 = 57/36

Now, you can perform the operations:

3 1/6 + (-2 5/9) - 1 21/36

= 19/6 + (-23/9) - 57/36

Now, find a common denominator for these fractions, which is 36:

= (19/6) * (6/6) + (-23/9) * (4/4) - (57/36) * (1/1)

= (19/6) * (6/6) + (-23/9) * (4/4) - (57/36) * (1/1)

= (196)/(66) - (234)/(94) - 57/36

= 114/36 - 92/36 - 57/36

Now, add and subtract the fractions:

= (114 - 92 - 57)/36

= ( -35 ) / 36

So, the result is -35/36.