Question

(11,25 - 3целых 5/12 + 4,3 - 7 целых 19/30) : (7целых 7/12 - 5 целых 5/6) =

Answer 1

Ответ:

2  4/7

Пошаговое объяснение:

(11,25 - 3  5/12 + 4,3 - 7  19/30) : (7  7/12 - 5  5/6) =

(11  1/4 - 3  5/12 + 4,3 - 7  19/30) : (91/12 - 35/6) =

(45/4 - 41/12 + 43/10 - 229/30) : 7/4 =

(47/6 + 43/10 - 229/30) : 7/4 = (364/30 - 229/30) : 7/4 =

9/2 : 7/4 = 9/2 *4/7 = 2  4/7

Answer 2

To simplify the expression, let's convert all mixed numbers to improper fractions and perform the operations step by step:

First, let's convert the mixed numbers to improper fractions: 3 целых 5/12 = (3 * 12 + 5) / 12 = 41/12 7 целых 19/30 = (7 * 30 + 19) / 30 = 229/30 7 целых 7/12 = (7 * 12 + 7) / 12 = 91/12 5 целых 5/6 = (5 * 6 + 5) / 6 = 35/6

Now, let's rewrite the expression: (11 + 25 - 41/12 + 4.3 - 229/30) / (91/12 - 35/6)

Next, let's simplify the expression within the parentheses: 11 + 25 = 36 4.3 can be written as 4 3/10, so we convert it to an improper fraction: 4 3/10 = (4 * 10 + 3) / 10 = 43/10

Now, the expression becomes: (36 - 41/12 + 43/10 - 229/30) / (91/12 - 35/6)

Let's find a common denominator for the fractions: The common denominator for 12, 10, and 30 is 60.

Now, let's rewrite the expression with the common denominator: (36 * 60/60 - (41/12) * 5/5 + (43/10) * 6/6 - (229/30) * 2/2) / (91/12 - (35/6) * 10/10)

Simplifying the numerators: 36 * 60/60 = 2160/60 = 36 (41/12) * 5/5 = 205/60 (43/10) * 6/6 = 258/60 (229/30) * 2/2 = 458/60 (35/6) * 10/10 = 350/60

The expression becomes: (36 - 205/60 + 258/60 - 458/60) / (91/12 - 350/60)

Simplifying the numerators: 36 - 205/60 + 258/60 - 458/60 = (36 + 258 - 205 - 458) / 60 = -369/60

(91/12) - (350/60) = (91/12) - (175/30) = (91/12) - (175/30) * 2/2 = (91/12) - (350/60) = (91 * 5/5) / 12 - 350/60 = (455/60) - (350/60) = (455 - 350) / 60 = 105/60 = 7/4

Now, the expression becomes: (-369/60) / (7/4)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (-369/60) * (4/7)

Simplifying the fraction: (-369 * 4) / (60 * 7) = -1476/420 = -18/5

Therefore, the value of the expression is -18/5.