Question

(36 2/3+3 1/8)-(18- 10 5/9)

Answer 1

(36 2/3 + 3 1/8) - (18 - 10 5/9) = 32 25/72

1) 36 2/3 + 3 1/8 = 36 16/24 + 3 3/24 = 39 19/24

2) 18 - 10 5/9 = 17 9/9 - 10 5/9 = 7 4/9

3) 39 19/24 - 7 4/9 = 39 57/72 - 7 32/72 = 32 25/72

Ответ: 32 целых 25/72.

Answer 2

To solve the given expression:

(36 2/3 + 3 1/8) - (18 - 10 5/9)

First, let's convert all mixed numbers to improper fractions:

36 2/3 = 36 + 2/3 = 110/3 3 1/8 = 3 + 1/8 = 25/8 10 5/9 = 10 + 5/9 = 95/9

Now we can rewrite the expression:

(110/3 + 25/8) - (18 - 95/9)

Next, let's find a common denominator for the fractions within each set of parentheses. The common denominator for 3 and 8 is 24, and for 3 and 9 is 27.

So the expression becomes:

[(110/3 * 8/8) + (25/8 * 3/3)] - [(18 * 27/27) - (95/9 * 3/3)]

Simplifying further:

(880/24 + 75/24) - (486/27 - 285/27)

Now, add and subtract:

(955/24) - (201/27)

To subtract fractions, we need a common denominator. The common denominator for 24 and 27 is 216.

So the expression becomes:

(955/24 * 9/9) - (201/27 * 8/8) (8595/216) - (1608/216)

Now, subtract:

8595/216 - 1608/216 = 6987/216

The result is a fraction in its simplest form, and it cannot be simplified further.