Question

15/29-[27/29-22/29]+11/29 [19/92-12/92+62/92]-43/92 [43/88+37/88]-[76/55-52/88] 43/62-26/62+34/62-19/62+23/62

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's simplify the given expression step by step:

1. Calculate the expression inside the first square brackets:

   15/29 - [27/29 - 22/29] + 11/29 = 15/29 - (27/29 - 22/29) + 11/29 = 15/29 - 27/29 + 22/29 + 11/29 = (15 - 27 + 22 + 11) / 29 = 21/29

2. Calculate the expression inside the second square brackets:

   [19/92 - 12/92 + 62/92] - 43/92 = (19/92 - 12/92 + 62/92) - 43/92 = (69/92) - 43/92 = (69 - 43) / 92 = 26/92 = 13/46

3. Calculate the expression inside the third square brackets:

   [43/88 + 37/88] - [76/55 - 52/88] = (43/88 + 37/88) - (76/55 - 52/88) = (80/88) - (76/55 - 52/88)

   Now, let's find a common denominator for the terms inside the parentheses on the right side:

   = (80/88) - [(7688)/(5588) - (5288)/(8888)] = (80/88) - [(7688 - 5288)/(5588)] = (80/88) - (2488)/(5588) = (80 - 2488)/(88*55) = (80 - 2112)/(4840) = (-2032)/(4840) = -1016/2420 = -254/605

4. Calculate the expression inside the fourth square brackets:

   43/62 - 26/62 + 34/62 - 19/62 + 23/62 = (43 - 26 + 34 - 19 + 23) / 62 = (75) / 62 = 75/62

Now, let's put it all together:

21/29 - 13/46 - (-254/605) + 75/62

To add or subtract fractions, you need to have a common denominator. In this case, the least common multiple of 29, 46, 605, and 62 is 16510. So, let's convert all the fractions to have this common denominator:

• 21/29 = (21 * 570) / (29 * 570) = 12170/16510
• 13/46 = (13 * 359) / (46 * 359) = 4727/16510
• (-254/605) = (254 * 2734) / (605 * 2734) = -68916/16510
• 75/62 = (75 * 2675) / (62 * 2675) = 198750/16510

Now, we can add and subtract these fractions:

(12170/16510) - (4727/16510) - (-68916/16510) + (198750/16510)

= (12170 - 4727 + 68916 + 198750) / 16510

= 260109 / 16510

This fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 1:

(260109 / 16510) ÷ 1 = 260109 / 16510

So, the simplified result is 260109/16510.