Question

14 - 13,2 : ( 3 11/12 - 2 4/15)

Answer 1

14 - 13,2 : (3 11/12 - 2 4/15) = 6

1) 3 11/12 - 2 4/15 = 3 55/60 - 2 16/60 = 1 39/60
2) 13,2 : 1 39/60 = 13,2 : 99/60 = 13,2 * 60 : 99 = 8
3) 14 - 8 = 6

Пояснения:
11/12 = (11*5)/(12*5) = 55/60 - доп.множ.5
4/15 = (4*4)/(15*4) = 16/60 - доп.множ.4
1 39/60 = (1*60+39)/60 = 99/60

Answer 2

Let's first simplify the expression inside the parenthesis:

3 11/12 - 2 4/15 = (3 * 12 + 11) / 12 - (2 * 15 + 4) / 15 = (36 + 11) / 12 - (30 + 4) / 15 = 47 / 12 - 34 / 15

To add or subtract fractions with different denominators, we need to find a common denominator. The least common multiple of 12 and 15 is 60, so we can rewrite the fractions with denominators of 60:

47 / 12 - 34 / 15 = (47 * 5) / (12 * 5) - (34 * 4) / (15 * 4) = 235 / 60 - 136 / 60 = 99 / 60 = 33 / 20

Now we can substitute this result back into the original expression:

14 - 13.2 : (3 11/12 - 2 4/15) = 14 - 13.2 : (33/20) = 14 - 13.2 * 20/33 = 14 - 8 = 6

Therefore, the final answer is 6.