what is 12 8/15 - 7 + 7/15 + 15? simplify your answer.

1) 20 15/25
2) 21
3) 41 15/15
4) 35

which is the correct answer?

To solve this expression, we need to add/subtract the whole numbers separately from the fractions:

12 - 7 + 15 = 20

8/15 + 7/15 = 15/15 = 1

Putting the whole number and the fraction together, we get:

20 + 1 = 21

So, the correct answer is 2) 21.

how should you group the following expression to make it easiest to add? 18 - 9 4/9 + 7/9 - 8

1) (18 - 9 - 8) + (-4/9 + 7/9)
2) (8 - 18) + (4/9 + 7/9)
3) (18 - 8) + (9 4/9 + 7/9)
4) (18 - 8 - 9)

which is the correct answer

The correct answer is 1) (18 - 9 - 8) + (-4/9 + 7/9).

By grouping the terms in this way, we first subtract 9 from 18 and then subtract 8 from the result. After that, we add the fractions (-4/9 + 7/9) together.

This grouping helps to simplify the expression and make the addition easier to do.

To simplify the expression 12 8/15 - 7 + 7/15 + 15, we can perform the following steps in order:

Step 1: Convert the mixed numbers to improper fractions:
12 8/15 = (12 * 15 + 8) / 15 = 188/15
7 = 7/1
7/15 = 7/15
15 = 15/1

Step 2: Add or subtract the fractions:
188/15 - 7/1 + 7/15 + 15/1

Step 3: Find a common denominator for the fractions involved. In this case, the common denominator is 15:

(188/15) - (7/1) + (7/15) + (15/1)

Step 4: Perform the operations:

(188 - 105 + 7 + 225) / 15
(188 + 7 + 225 - 105) / 15
(420) / 15
28

So, the simplified answer is 28, which means the correct answer is option 2) 21.