
Номер 554 5 7/12 - ( 7 1/12 -( 4 29/60 -( 2 1/5 -1 5/6 )))


Ответы на вопрос

У меня сто процентов правильно.




To solve the expression, let's break it down step by step:
Start with the innermost parentheses: (2 1/5 - 1 5/6)
To subtract mixed numbers, we need to convert them to improper fractions: 2 1/5 = (2 * 5 + 1) / 5 = 11/5 1 5/6 = (1 * 6 + 5) / 6 = 11/6
Now, subtract the fractions: 11/5 - 11/6
To subtract fractions, we need a common denominator. In this case, the common denominator is 30: (11/5) * (6/6) = 66/30 (11/6) * (5/5) = 55/30
Now, subtract the fractions: 66/30 - 55/30 = (66 - 55) / 30 = 11/30
Replace the inner parentheses with the result: 4 29/60 - (11/30)
Convert 4 29/60 to an improper fraction: 4 29/60 = (4 * 60 + 29) / 60 = 269/60
Now, subtract the fractions: 269/60 - 11/30
To subtract fractions, we need a common denominator. In this case, the common denominator is 60: (269/60) * (1/2) = 269/120 (11/30) * (2/2) = 22/60
Now, subtract the fractions: 269/120 - 22/60 = (269 - 22) / 120 = 247/120
Replace the next inner parentheses with the result: 7 1/12 - (247/120)
Convert 7 1/12 to an improper fraction: 7 1/12 = (7 * 12 + 1) / 12 = 85/12
Now, subtract the fractions: 85/12 - 247/120
To subtract fractions, we need a common denominator. In this case, the common denominator is 120: (85/12) * (10/10) = 850/120 (247/120) * (1/1) = 247/120
Now, subtract the fractions: 850/120 - 247/120 = (850 - 247) / 120 = 603/120
Replace the outer parentheses with the result: 554 5 7/12 - (603/120)
Convert 554 5 7/12 to an improper fraction: 554 5 7/12 = (554 * 12 + 5 * 12 + 7) / 12 = 6665/12
Now, subtract the fractions: 6665/12 - 603/120
To subtract fractions, we need a common denominator. In this case, the common denominator is 120: (6665/12) * (10/10) = 66650/120 (603/120) * (1/1) = 603/120
Now, subtract the fractions: 66650/120 - 603/120 = (66650 - 603) / 120 = 66047/120
Finally, simplify the fraction 66047/120, if necessary.


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