Question

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

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction, from left to right).

Let's break it down step by step:

1. Subtracting a negative number is the same as adding its positive counterpart. So, we can rewrite the expression as:

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

2. Now, let's add the whole numbers and fractions separately:

2 + 1 - 4 = -1

3/4 + 1/2 = 6/8 + 4/8 = 10/8 = 5/4

3. Now, combine the fractions:

5/4 + (-5/6) + 3/8

To add these fractions, you need a common denominator. The least common denominator for 4, 6, and 8 is 24.

(5/4) * (6/6) = 30/24 (-5/6) * (4/4) = -20/24 (3/8) * (3/3) = 9/24

Now, add the fractions:

30/24 + (-20/24) + 9/24 = (30 - 20 + 9) / 24 = 19/24

4. Finally, subtract 4 2/3 from the result:

-1 + 19/24 - 4 2/3

To subtract 4 2/3, convert it to an improper fraction:

4 * 3 + 2 = 14/3

Now, subtract it:

-1 + 19/24 - 14/3

To add or subtract fractions with different denominators, you need a common denominator. In this case, the common denominator is 24.

(-1 * 24/24) + (19/24) - (14 * 8/8) / 3

Now, perform the calculations:

(-24/24) + (19/24) - (112/24) / 3

Combine the fractions:

(-24 + 19 - 112) / 24 / 3

Now, simplify the numerator:

(-117) / 24 / 3

Finally, divide:

-117 / 24 = -4.875

So, the result is approximately -4.875.