Question

Помогите решить дроби 1) 6/51 + 1/9 - 3/17 2) 5/12 + 1/18 - 2/9 3) 2/21 + 14/18 - 6/35 4) 3/7 - (1/28 + 11/35) 5) 5/8 + 1/6 - 7/12 6) 13/30 -(2/45 + 1/9 ) 7) 9/22 - (3/11 + 4/55) 8) 8/15 - (5/21 + 1/7 ) 9) 5/12 - (1/24 + 11/30) 10) (7/15 - 1/6) + 2/5

Answer 1

Ответ:

Решение на фото во вложении.

Answer 2

1. 6/51 + 1/9 - 3/17 To add these fractions, we need to first find a common denominator. The smallest number that all three denominators divide into is 1539. So, we can rewrite the fractions as follows:

6/51 * 30/30 + 1/9 * 171/171 - 3/17 * 91/91 = 180/1539 + 171/1539 - 273/1539

Now we can add the numerators and simplify:

(180 + 171 - 273)/1539 = 78/1539

2. 5/12 + 1/18 - 2/9 Again, we need to find a common denominator. The smallest number that all three denominators divide into is 36. So, we can rewrite the fractions as follows:

5/12 * 3/3 + 1/18 * 2/2 - 2/9 * 4/4 = 15/36 + 2/36 - 8/36

Now we can add the numerators and simplify:

(15 + 2 - 8)/36 = 9/36 = 1/4

3. 2/21 + 14/18 - 6/35 We need to find a common denominator. The smallest number that all three denominators divide into is 630. So, we can rewrite the fractions as follows:

2/21 * 30/30 + 14/18 * 35/35 - 6/35 * 18/18 = 60/630 + 490/630 - 108/630

Now we can add the numerators and simplify:

(60 + 490 - 108)/630 = 442/630 = 221/315

4. 3/7 - (1/28 + 11/35) We need to simplify the expression in the parentheses first:

1/28 + 11/35 = 5/140 + 44/140 = 49/140

Now we can rewrite the expression as:

3/7 - 49/140

We need to find a common denominator. The smallest number that both denominators divide into is 980. So, we can rewrite the expression as follows:

3/7 * 140/140 - 49/140 * 7/7 = 420/980 - 343/980

Now we can subtract the numerators and simplify:

(420 - 343)/980 = 77/980

5. 5/8 + 1/6 - 7/12 We need to find a common denominator. The smallest number that all three denominators divide into is 24. So, we can rewrite the fractions as follows:

5/8 * 3/3 + 1/6 * 4/4 - 7/12 * 2/2 = 15/24 + 4/24 - 14/24

Now we can add the numerators and simplify:

(15 + 4 - 14)/24 = 5/24

6. 13/30 -(2/45 + 1/9 ) We need to simplify the expression in the parentheses first:

2/45 + 1/9 = 2/45 + 5/45 = 7/45

Now we can rewrite the expression as:

13/30 - 7/45

We need to find a common denominator. The smallest number that both denominators divide into is 90. So, we can rewrite the expression as follows:

13/30 * 3/3 - 7/45 * 2