Question

(7 1/2*2 2/3-12 1/4:7/9):6+3 1/8+5 2/7​

Answer 1

Ответ:

9 5/42

Пошаговое объяснение:

(7 1/2*2 2/3-12 1/4:7/9):6+3 1/8+5 2/7 = 9 5/42

1) 7 1/2 * 2 2/3 = 15/2 * 8/3 = 20

2) 12 1/4 : 7/9 = 49/4 * 9/7 = 63/4 = 15 3/4

3) 20 - 15 3/4 = 4 1/4

4) 4 1/4 : 6 = 17/4 * 1/6 = 17/24

5) 17/24 + 3 1/8 = 17/24 + 3 3/24 = 3 20/24 = 3 5/6

6) 3 5/6 + 5 2/7 = 3 35/42 + 5 12/42 = 8 47/42 = 9 5/42

Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). Here's the step-by-step breakdown:

1. First, simplify within the parentheses/brackets:

   (7 1/2 * 2 2/3 - 12 1/4 ÷ 7/9)

2. Perform the operations inside the parentheses/brackets from left to right:

   7 1/2 * 2 2/3 = (15/2 * 8/3) = (120/6) = 20

   12 1/4 ÷ 7/9 = (49/4 ÷ 7/9) = (49/4 * 9/7) = (441/28) = 15.75

   So, the expression becomes:

   (20 - 15.75)

3. Now, subtract 15.75 from 20:

   20 - 15.75 = 4.25

4. Next, continue with the remaining operations outside the parentheses:

   4.25 ÷ 6 + 3 1/8 + 5 2/7

5. Perform division first:

   4.25 ÷ 6 = 0.7083 (rounded to four decimal places)

6. Now, add the results together:

   0.7083 + 3 1/8 + 5 2/7

7. Add the whole numbers:

   3 + 5 = 8

8. Add the fractions:

   1/8 + 2/7

   To add these fractions, you need a common denominator, which is 56:

   (1/8 * 7/7) + (2/7 * 8/8) = 7/56 + 16/56 = 23/56

9. Now, add the fractions to the whole numbers:

   8 + 23/56

10. Combine the whole number and the fraction:

    8 + 23/56 = 8 23/56

So, the final result of the expression is 8 23/56, which can also be expressed as an improper fraction or a mixed number, depending on your preference.