Question

А) 3/2+1/18+1/9 б) 7/3+1/6+5/24

Answer 1

Ответ:

а)...= 27+1+2/18= 30/18 ( сокращаем на 6) = 5/3 =1.6

Answer 2

Ответ:

Пошаговое объяснение:

a) 3/2+1/18+1/9

27/18+1/18+2/18=30/18=1 12/18=1 2/3

Б)7/3+1/6+5/24

56/24+4/24+5/24=65/24=2 17/24

Answer 3

To solve these arithmetic expressions, we'll perform the additions step by step.

a) 3/2 + 1/18 + 1/9:

To add fractions, we need to find a common denominator. The least common multiple (LCM) of 2, 18, and 9 is 18. We'll convert all the fractions to have a denominator of 18.

3/2 can be multiplied by 9/9 to get 27/18. 1/18 remains as it is. 1/9 can be multiplied by 2/2 to get 2/18.

Now, we can add the fractions:

27/18 + 1/18 + 2/18 = (27 + 1 + 2)/18 = 30/18

Since 30/18 can be simplified, we divide both the numerator and denominator by their greatest common divisor, which is 6:

30/18 = (30 ÷ 6)/(18 ÷ 6) = 5/3

Therefore, the result of a) 3/2 + 1/18 + 1/9 is 5/3.

b) 7/3 + 1/6 + 5/24:

Again, we need to find a common denominator. The LCM of 3, 6, and 24 is 24. We'll convert all the fractions to have a denominator of 24.

7/3 can be multiplied by 8/8 to get 56/24. 1/6 can be multiplied by 4/4 to get 4/24. 5/24 remains as it is.

Now, we can add the fractions:

56/24 + 4/24 + 5/24 = (56 + 4 + 5)/24 = 65/24

The fraction 65/24 cannot be simplified any further.

Therefore, the result of b) 7/3 + 1/6 + 5/24 is 65/24.