Question

57/15-(7 целых1/12-(4цеоых29/60-(2целых1/5-1целая5/6)))

Answer 1

67/12 вроде должно быть

Answer 2

Let's solve the expression step by step:

1. First, simplify within the innermost parentheses:

   2 целых 1/5 - 1 целая 5/6

   To subtract fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 30. So, convert 1/5 and 5/6 to have a common denominator of 30:

   2 целых 6/30 - 1 целая 25/30

   Now, subtract the fractions:

   2 целых 6/30 - 1 целая 25/30 = 2 целых (6 - 25)/30 = 2 целых (-19/30)

2. Now, move to the next set of parentheses:

   4 целых 29/60 - (2 целых (-19/30))

   To subtract a fraction from a whole number, you need to convert the whole number to a fraction with the same denominator as the fraction. In this case, the common denominator is 60:

   4 целых 29/60 - (2 целых (-19/30))

   4 целых can be represented as 240/60, so the expression becomes:

   (240/60) + 29/60 - (2 целых (-19/30))

   Now, add the fractions:

   (240/60) + 29/60 = (240 + 29)/60 = 269/60

   So, the expression becomes:

   (269/60) - (2 целых (-19/30))

3. Moving on to the next set of parentheses:

   57/15 - (7 целых 1/12 - (269/60 - (2 целых (-19/30))))

   To subtract a mixed number, you can convert it to an improper fraction and then subtract:

   7 целых 1/12 = (7 * 12 + 1)/12 = 85/12

   So, the expression becomes:

   57/15 - (85/12 - (269/60 - (2 целых (-19/30))))

4. Subtracting fractions with different denominators:

   To subtract fractions with different denominators, you need to find a common denominator. In this case, the least common multiple (LCM) of 15, 12, and 60 is 60. Convert all fractions to have a denominator of 60:

   57/15 = (57 * 4)/60 = 228/60 85/12 = (85 * 5)/60 = 425/60

   The expression now becomes:

   (228/60) - (425/60 - (269/60 - (2 целых (-19/30))))

5. Subtract the fractions:

   (228/60) - (425/60 - (269/60 - (2 целых (-19/30))) = (228/60) - (425/60 - (269/60 - (-19/30)))

   Now, simplify the innermost parentheses:

   (269/60 - (-19/30)) = (269/60 + 19/30)

   To add these fractions, find a common denominator, which is 60:

   (269/60 + 19/30) = (269/60 + (2 * 19)/60) = (269 + 38)/60 = 307/60

   So, the expression now becomes:

   (228/60) - (425/60 - (307/60))

6. Finally, subtract the remaining fractions:

   (228/60) - (425/60 - (307/60)) = (228/60) - (425/60 - 307/60)

   Now, subtract the fractions within the innermost parentheses:

   (425/60 - 307/60) = (425 - 307)/60 = 118/60 = 59/30

   So, the expression becomes:

   (228/60) - (59/30)

7. Subtract the remaining fractions:

   (228/60) - (59/30)

   To subtract these fractions, find a common denominator, which is 60:

   (228/60) - (59/30) = (228/60) - (2 * 59/60) = (228 - 2 * 59)/60 = (228 - 118)/60 = 110/60

8. Simplify the fraction:

   110/60 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10:

   (110/60) ÷ 10/10 = (11/6) ÷ (10/10) = 11/6

So, the final result of the expression is 11/6.