Question

5 : 5/6 + 1 2/7 * 5 5/6 - 4 3/4 ​

Answer 1

Ответ: 185/28=6 17/28

Answer 2

To calculate the expression 5 - 5/6 + 1 2/7 * 5 5/6 - 4 3/4, you should follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction, from left to right). Here's the step-by-step calculation:

1. Start with the multiplication and division: 1 2/7 * 5 5/6 = (9/7) * (35/6) = (9 * 35) / (7 * 6) = 315/42

2. Simplify the fraction in step 1: 315/42 = 15/2

3. Now, the expression becomes: 5 - 5/6 + 15/2 - 4 3/4

4. Next, let's convert 4 3/4 into an improper fraction: 4 3/4 = (4 * 4 + 3) / 4 = 19/4

5. The expression now becomes: 5 - 5/6 + 15/2 - 19/4

6. Find a common denominator to add and subtract the fractions: Common denominator for 6, 2, and 4 is 12.

7. Rewrite each fraction with a denominator of 12:

   • 5/6 becomes - (10/12)
   • 15/2 becomes - (90/12)
   • 19/4 becomes - (57/12)

8. Now, the expression becomes: 5 - 10/12 + ( -90/12) - (57/12)

9. Add and subtract the fractions: 5 - (10/12 + 90/12) - 57/12 5 - (100/12) - 57/12

10. Combine the fractions in the parentheses: 5 - (100/12 - 57/12)

11. Subtract the fractions inside the parentheses: 5 - (43/12)

12. Subtract the remaining fractions: 5 - 43/12

13. To subtract mixed numbers, convert 5 to an equivalent fraction with a denominator of 12: 5 = 60/12

14. Now subtract the fractions: (60/12) - (43/12) = (60 - 43) / 12 = 17/12

So, the final result is 17/12, which can also be expressed as 1 5/12 as a mixed number.