Question

(−7 5/12+12 1/4):3 2/9

Answer 1

(-7×5/12+12×1/4):3×2/9=

(-89/12+147/12):29/9=

58/12:29/9=

58/12×9/29=

6/4=1.5

Answer 2

To solve this expression, let's break it down step by step:

1. First, calculate the addition of the mixed numbers: -7 5/12 + 12 1/4.

   Convert both mixed numbers to improper fractions: -7 5/12 = -7 + 5/12 = -84/12 + 5/12 = -79/12 12 1/4 = 12 + 1/4 = 48/4 + 1/4 = 49/4

   Now add the two improper fractions: -79/12 + 49/4 = (-79 * 4 + 49 * 12) / (12 * 4) = (-316 + 588) / 48 = 272/48 = 17/3

2. Now we have the result of the addition, which is 17/3. Let's divide it by the next fraction: 3 2/9.

   Convert 3 2/9 to an improper fraction: 3 2/9 = 3 + 2/9 = 27/9 + 2/9 = 29/9

   Divide 17/3 by 29/9: (17/3) ÷ (29/9) = (17/3) * (9/29) = (17 * 9) / (3 * 29) = 153/87 = 51/29

So, the final result of the expression is 51/29.