Question

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

Answer 1

Ответ:

Пошаговое объяснение:

2 3\4:2=11\4*1\2=11\8=1 3\8

1 3\8+3\4=1 3\8+6\8=2 1\8

1 1\3*2 1\8=4\3*17\8=17\6=2 5\6

3 1\3-2 5\6=3 2\6-2 5\6=3\6=1\2

Answer 2

Let's break down the expression step by step:

1. First, we simplify the expression inside the parentheses: 2 3/4:2 = 11/4:2 = 11/8

2. Now, we add 3/4 to the result: 11/8 + 3/4 = 11/8 + 6/8 = 17/8

3. Next, we subtract 1 1/3 times the result we found in step 2: 1 1/3 * 17/8 = 4/3 * 17/8 = (4/3) * (17/8)

To multiply fractions, you simply multiply the numerators together and the denominators together: (4/3) * (17/8) = (4 * 17) / (3 * 8) = 68/24

4. Now, we simplify the fraction 68/24. Both the numerator and denominator are divisible by 4: (68/4) / (24/4) = 17/6

5. Finally, we subtract 3 1/3 from the result we found in step 4: 17/6 - 3 1/3 = 17/6 - (9/3 + 1/3) = 17/6 - 10/3

To subtract fractions, we need a common denominator, which is 6 in this case: (17/6) - (10/3) = (17/6) - (20/6)

Now, subtract the numerators: (17 - 20) / 6 = -3/6

Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3: (-3/3) / (6/3) = -1/2

So, the final result of the expression is -1/2.