Question

(5/6 + 3/4)* 1 5/11 1 1/5 * ( 3/4-1/3) (1 1/3-5/6) *18

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the expression, we can follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) and work from left to right. Let's break down the expression step by step:

1. First, simplify the fractions within the parentheses: (5/6 + 3/4) = (10/12 + 9/12) = 19/12

2. (3/4 - 1/3) = (9/12 - 4/12) = 5/12

3. (1 1/3 - 5/6) = (4/3 - 5/6) = (8/6 - 5/6) = 3/6 = 1/2

4. Now, combine the fractions outside the parentheses: 19/12 * 1 5/11 * 5/12 * 1/2 * 18

5. Convert the mixed numbers to improper fractions: 1 5/11 = (11 * 1 + 5)/11 = 16/11 1 = 12/12 (to have a common denominator)

6. Now the expression becomes: (19/12) * (16/11) * (5/12) * (1/2) * 18

7. Multiply the fractions: (19/12) * (16/11) * (5/12) * (1/2) = (19 * 16 * 5 * 1) / (12 * 11 * 12 * 2)

8. Simplify the fraction: (19 * 16 * 5 * 1) = 1520 (12 * 11 * 12 * 2) = 3168

9. Multiply the simplified fraction by 18: (1520/3168) * 18 = (1520/176) = 190/22

10. Reduce the fraction to its simplest form: 190/22 = 95/11

So, the simplified value of the expression is 95/11.