(29целых11/18+14целых7/12)-5 целых13/24

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вопрос Следующий
вопрос

To solve this, we first need to convert each mixed number to an improper fraction.

29 целых 11/18 = (29 * 18 + 11)/18 = 547/18

14 целых 7/12 = (14 * 12 + 7)/12 = 175/12

5 целых 13/24 = (5 * 24 + 13)/24 = 133/24

Now we can substitute these values back into the equation and simplify:

(547/18 + 175/12) - 133/24

To add the two fractions, we need to find a common denominator. The least common multiple of 18 and 12 is 36, so we can rewrite the fractions with a common denominator of 36:

(5472 + 1753)/36 = (1094 + 525)/36 = 1619/36

Now we can subtract the third fraction:

1619/36 - 133/24

To subtract, we need a common denominator. The least common multiple of 36 and 24 is 72, so we can rewrite the fractions with a common denominator of 72:

(16192 - 1333)/72 = (3238 - 399)/72 = 2839/72

Now we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1:

2839/72

Therefore, the final result is 2839/72.