Question

6/51 + 1/9 - 3/17 5/12 + 1/18 - 2/9 2/21 + 4/18 - 6/35 3/7 - (1/28 + 11/35) 5/8 + 1/6 - 7/12 13/30 - (2/45 + 1/9)

Answer 1

Ответ:

Пошаговое объяснение:

6/51 + 1/9 - 3/17 =18\153+17\153-27\153=8\153

5/12 + 1/18 - 2/9 =15\36+2\36-8\36=9\36=1\4

2/21 + 4/18 - 6/35 =60\630+140\630-108/630=92\630=46\315

3/7 - (1/28 + 11/35) =60\140-5\140-44\140=11\140

5/8 + 1/6 - 7/12 =15\24+4\24-14\24=5\24

13/30 - (2/45 + 1/9)=39\90-4\90-10\90=25\90=5\18

Answer 2

To solve each of these expressions involving fractions, we need to perform the required operations step by step. Let's take them one by one:

1. 6/51 + 1/9 - 3/17

To add or subtract fractions, we first need to find a common denominator. In this case, the common denominator is 51 since all the fractions have denominators of 51. Now, we can perform the operations:

(6/51) + (1/9) - (3/17)

To convert the fractions to have a common denominator of 51: (6/51) + (17/153) - (9/51)

Now, we can add the fractions: (6/51) + (17/153) - (9/51) = (6 + 17 - 9) / 51 = 14/51

2. 5/12 + 1/18 - 2/9

The common denominator for 12, 18, and 9 is 36. So, we convert the fractions:

(5/12) + (2/36) - (8/36)

Now, we can add the fractions: (5/12) + (2/36) - (8/36) = (5 + 2 - 8) / 36 = -1/36

3. 2/21 + 4/18 - 6/35

To add or subtract fractions, we need a common denominator. In this case, the common denominator is 630 (21 * 18 * 35). Now, we convert the fractions:

(30/630) + (140/630) - (108/630)

Now, we can add the fractions: (30/630) + (140/630) - (108/630) = (30 + 140 - 108) / 630 = 62/630 = 31/315

4. 3/7 - (1/28 + 11/35)

To subtract fractions, we must first simplify the expression inside the parentheses. The common denominator for 28 and 35 is 140. So, we convert the fractions:

(5/140 + 44/140)

Now, we can add the fractions inside the parentheses: (5/140 + 44/140) = (5 + 44) / 140 = 49/140

Now, we can perform the subtraction: (3/7) - (49/140)

To find a common denominator for 7 and 140, we use 140: (60/140) - (49/140) = (60 - 49) / 140 = 11/140

5. 5/8 + 1/6 - 7/12

The common denominator for 8, 6, and 12 is 24. So, we convert the fractions:

(15/24) + (4/24) - (14/24)

Now, we can add the fractions: (15/24) + (4/24) - (14/24) = (15 + 4 - 14) / 24 = 5/24

6. 13/30 - (2/45 + 1/9)

To subtract fractions, we first need to find a common denominator. The common denominator for 30, 45, and 9 is 90. So, we convert the fractions:

(39/90) - (4/90 + 10/90)

Now, we can add the fractions inside the parentheses: (39/90) - (4/90 + 10/90) = (39/90) - (14/90)

Now, we can perform the subtraction: (39/90) - (14/90) = (39 - 14) / 90 = 25/90 = 5/18

So, the results of the given expressions are:

1. 14/51
2. -1/36
3. 31/315
4. 11/140
5. 5/24
6. 5/18