Question

3/4 + 2/3 3/10 + 2/154/9 + 1/67/15 + 3/406/7 - 2/3 11/12 - 5/67/12 - 3/8 9/14 - 19/35​

Answer 1

Пошаговое объяснение:

3/4 + 2/3=9+8/12=17/12

3/10+2/15=9+4/30=13/30

4/9 + 1/6=8+3/18=11/18

7/15 + 3/40= 56+9/120=65/120

6/7 - 2/3 =18-14/21=4/21

11/12 - 5/6=11-10/12=1/12

7/12 - 3/8=14-9/24=5/24

9/14 - 19/35=45-38/70=7/70

Answer 2

To solve these arithmetic expressions involving fractions, we'll need to find a common denominator and then perform the operations. Let's calculate each expression step by step:

1. 3/4 + 2/3: To find a common denominator, we multiply 4 and 3, which gives us 12. Then, we can rewrite the fractions as follows: (3/4) + (2/3) = (3/4) * (3/3) + (2/3) * (4/4) = 9/12 + 8/12 = (9 + 8)/12 = 17/12.

2. 3/10 + 2/15: The least common denominator (LCD) of 10 and 15 is 30. Now we rewrite the fractions with this denominator: (3/10) + (2/15) = (3/10) * (3/3) + (2/15) * (2/2) = 9/30 + 4/30 = (9 + 4)/30 = 13/30.

3. 4/9 + 1/6: The least common denominator of 9 and 6 is 18. Let's convert the fractions: (4/9) + (1/6) = (4/9) * (2/2) + (1/6) * (3/3) = 8/18 + 3/18 = (8 + 3)/18 = 11/18.

4. 7/15 + 3/40: The least common denominator of 15 and 40 is 120. Convert the fractions accordingly: (7/15) + (3/40) = (7/15) * (8/8) + (3/40) * (3/3) = 56/120 + 9/120 = (56 + 9)/120 = 65/120 = 13/24.

5. 6/7 - 2/3: To subtract fractions, we need a common denominator. The LCD for 7 and 3 is 21. Rewrite the fractions: (6/7) - (2/3) = (6/7) * (3/3) - (2/3) * (7/7) = 18/21 - 14/21 = (18 - 14)/21 = 4/21.

6. 11/12 - 5/6: The least common denominator of 12 and 6 is 12. Convert the fractions: (11/12) - (5/6) = (11/12) * (1/1) - (5/6) * (2/2) = 11/12 - 10/12 = (11 - 10)/12 = 1/12.

7. 7/12 - 3/8: The least common denominator of 12 and 8 is 24. Rewrite the fractions: (7/12) - (3/8) = (7/12) * (2/2) - (3/8) * (3/3) = 14/24 - 9/24 = (14 - 9)/24 = 5/24.

8. 9/14 - 19/35: The least common denominator of 14 and 35 is 70. Convert the fractions: (9/14) - (19/35) = (9/14) * (5/5) - (19/35) * (2/2) = 45/70 - 38/70 = (45 - 38)/70 = 7/70 = 1/10.

Therefore, the results of the given expressions are as follows:

1. 3/4 + 2/3 = 17/12
2. 3/10 + 2/15 = 13/30
3. 4/9 + 1/6 = 11/18
4. 7/15 + 3/40 = 13/24
5. 6/7 - 2/3 = 4/21
6. 11/12 - 5/6 = 1/12
7. 7/12 - 3/8 = 5/24
8. 9/14 - 19/35 = 1/10