Question

2 5/6 + (-3 1/8) - (-2 7/12) + 4 3/4 - (-1 2/3)​

Answer 1

Ответ:

209/24

Пошаговое объяснение:

17/6-31/8+27/12+19/4+12/3=17/6-25/8+31/12+19/4+5/3=209/24

Answer 2

To add or subtract mixed numbers, you need to convert them into improper fractions, perform the arithmetic operation, and then simplify the result if necessary. Let's solve the expression step by step:

First, let's convert the mixed numbers into improper fractions:

2 5/6 = (2 * 6 + 5) / 6 = 17/6 -3 1/8 = (-3 * 8 + 1) / 8 = -25/8 -2 7/12 = (-2 * 12 + 7) / 12 = -17/12 4 3/4 = (4 * 4 + 3) / 4 = 19/4 -1 2/3 = (-1 * 3 + 2) / 3 = -1/3

Now, let's substitute these values back into the original expression:

17/6 + (-25/8) - (-17/12) + 19/4 - (-1/3)

To simplify the expression, we need to find a common denominator for all the fractions involved, which in this case is 24:

(17/6 * 4/4) + (-25/8 * 3/3) - (-17/12 * 2/2) + (19/4 * 6/6) - (-1/3 * 8/8) = 68/24 - 75/24 + 34/24 + 114/24 + 8/24

Now, we can combine the fractions:

= (68 - 75 + 34 + 114 + 8) / 24 = 149/24

The final result is 149/24.