Question

2-(6 7/8 -7 1/3):3/4

Answer 1

2-(6 7/8-7 1/3) : 3/4= 2-11/24:3/4=2-11/18=1 7/18

Answer 2

6 7/8-7 1/3= -9/24
-9/24 :3/4= -1/2
2- (-1/2) = 2 1/2 = 2,5

Answer 3

To solve this expression, first, we need to convert the mixed numbers into improper fractions. Then, we can proceed with the subtraction and division. Let's break it down step-by-step:

Step 1: Convert mixed numbers to improper fractions 6 7/8 = (8 * 6 + 7)/8 = (48 + 7)/8 = 55/8 7 1/3 = (3 * 7 + 1)/3 = (21 + 1)/3 = 22/3

Step 2: Perform the subtraction 2 - (55/8 - 22/3)

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 8 and 3 is 24. So, we'll convert both fractions to have a denominator of 24.

55/8 = (55 * 3)/(8 * 3) = 165/24 22/3 = (22 * 8)/(3 * 8) = 176/24

Now, the expression becomes: 2 - (165/24 - 176/24)

Step 3: Continue with the subtraction 2 - (-11/24)

Step 4: Perform the division To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 3/4 is 4/3.

2 - (-11/24) = 2 + 11/24

Step 5: Convert the mixed number back, if necessary 2 + 11/24 = 2 11/24

So, the final result is 2 11/24.