Question

1 11/12+6*(2 5/12- 5/8):18 3/7=? По действиям

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the expression 1 11/12 + 6 * (2 5/12 - 5/8) ÷ 18 3/7, let's break it down step by step:

First, let's simplify the expression inside the parentheses: 2 5/12 - 5/8

To subtract fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 12 and 8 is 24.

Converting 5/12 to have a denominator of 24: (5/12) * (2/2) = 10/24

Converting 5/8 to have a denominator of 24: (5/8) * (3/3) = 15/24

Now we can subtract: 2 10/24 - 15/24 = 2 (10 - 15)/24 = 2 (-5)/24 = -10/24 = -5/12

Next, let's calculate the multiplication: 6 * (-5/12) = -30/12 = -5/2

Now, let's perform the addition: 1 11/12 + (-5/2)

To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 12 and 2 is 12.

Converting 11/12 to have a denominator of 12: (11/12) * (1/1) = 11/12

Converting -5/2 to have a denominator of 12: (-5/2) * (6/6) = -30/12

Now we can add: 1 11/12 + (-5/2) = 1 + 11/12 + (-5/2) = 1 + 11/12 - 30/12 = (1 + 11 - 30)/12 = -18/12 = -3/2

Finally, let's perform the division: (-3/2) ÷ 18 3/7

To divide fractions, we multiply by the reciprocal of the divisor.

Converting 18 3/7 to an improper fraction: 18 3/7 = (7 * 18 + 3)/7 = 129/7

Now we can divide: (-3/2) * (7/129) = -21/258 = -1/14

Therefore, the result of the expression 1 11/12 + 6 * (2 5/12 - 5/8) ÷ 18 3/7 is -1/14.