Question

(42-7/18-5 2/9)-12 8/27

Answer 1

Ответ:

24.0925925926 Будет вот аж

Answer 2

To solve the expression (42-7/18-5 2/9)-12 8/27, let's break it down step by step:

Step 1: Simplify the fraction 7/18 - 5 2/9: To subtract fractions, we need to find a common denominator. In this case, the common denominator is 18.

7/18 - 5 2/9 = 7/18 - (5 * 18/9 + 2/9) = 7/18 - 90/9 - 2/9 = 7/18 - 92/9

Now, we need to find a common denominator again. The common denominator is 18 * 9 = 162.

7/18 - 92/9 = (7 * 9)/ (18 * 9) - (92 * 18) / (9 * 18) = 63/162 - 1656/162 = (63 - 1656)/162 = -1593/162

Step 2: Subtract the result from Step 1 from 42: 42 - (-1593/162) = 42 + 1593/162

Now, we need to find a common denominator again. The common denominator is 162.

42 + 1593/162 = (42 * 162)/162 + 1593/162 = 6804/162 + 1593/162 = (6804 + 1593)/162 = 8397/162

Step 3: Subtract 12 8/27 from the result of Step 2: To subtract mixed numbers, we need to convert them into improper fractions.

12 8/27 = (12 * 27 + 8)/27 = 336/27

Now, we can subtract:

8397/162 - 336/27

To subtract fractions, we need to find a common denominator. The common denominator is 162.

8397/162 - 336/27 = (8397 * 27)/(162 * 27) - (336 * 6)/(27 * 6) = 226719/4374 - 2016/162

Now, we need to find a common denominator again. The common denominator is 4374.

226719/4374 - 2016/162 = (226719 - 2016)/4374 = 224703/4374

Therefore, the result of the expression (42-7/18-5 2/9)-12 8/27 is 224703/4374.