Question

(7/18-1/12)+5/6 . (3/4-8/15)+17/20​

Answer 1

думаю будет понятнее если я решу пример на бумаге и сфотографирую

Answer 2

To solve the expression, you should follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right), commonly remembered by the acronym PEMDAS.

Here's how you can calculate the expression step by step:

1. Start with the first set of parentheses: (7/18 - 1/12) + 5/6 * (3/4 - 8/15) + 17/20

2. Calculate within the first set of parentheses: (7/18 - 1/12) = (14/36 - 3/36) = 11/36

3. Continue with the second set of parentheses: 5/6 * (3/4 - 8/15)

4. Calculate within the second set of parentheses: (3/4 - 8/15) = (11/15 - 8/15) = 3/15 = 1/5

5. Continue with the multiplication: 5/6 * (1/5) = (5/6) * (1/5) = 5/30 = 1/6

6. Now, we have: 11/36 + 1/6 + 17/20

7. To add these fractions together, you need to have a common denominator. In this case, the least common multiple of 36, 6, and 20 is 180.

8. Convert each fraction to have a denominator of 180: (11/36) * (5/5) = 55/180 (1/6) * (30/30) = 30/180 (17/20) * (9/9) = 153/180

9. Now, add the fractions with a common denominator: 55/180 + 30/180 + 153/180 = (55 + 30 + 153)/180 = 238/180

10. Finally, simplify the fraction if possible. Both the numerator and denominator are divisible by 2: (238/2) / (180/2) = 119/90

So, the simplified result of the expression is 119/90.