Question

(4+1:(1/2-1/3)):(4-1:(1/2-1/3))

Answer 1

1/2-1/3=3/6-2/6=1/6

1:1/6=1*6/1=6

4+6=10 первые скобки

1/2-1/3=3/6-2/6=1/6

1:1/6=1*6/1=6

4-6= -2 вторые скобки

10: (-2)= -5

Answer 2

To evaluate the expression (4+1:(1/2-1/3)):(4-1:(1/2-1/3)), we need to follow the order of operations (PEMDAS/BODMAS). Let's break it down step by step:

Step 1: Evaluate the expressions within parentheses. Within the first set of parentheses: 1/2 - 1/3 = (3/6 - 2/6) = 1/6

Within the second set of parentheses: 1/2 - 1/3 = (3/6 - 2/6) = 1/6

The expression now becomes: (4 + 1:1/6):(4 - 1:1/6)

Step 2: Evaluate the division (the colon ":" denotes division). 1:1/6 = 1 / (1/6) = 1 * (6/1) = 6

The expression now becomes: (4 + 6):(4 - 1:1/6)

Step 3: Evaluate the remaining additions and subtractions. 4 + 6 = 10 4 - 1:1/6 = 4 - 6 = -2

The expression now becomes: 10:(-2)

Step 4: Evaluate the final division. 10 / (-2) = -5

Therefore, the value of the expression (4+1:(1/2-1/3)):(4-1:(1/2-1/3)) is -5.