Question

1/3•(2 2/15•6 1/4-5 1/3•1 1/8)+4 5/9решите пример​

Answer 1

Ответ:

7

Пошаговое объяснение:

1)2 2/15 * 6 1/4=  32/15 * 25/4 =(сокращаем 15 и 25; 4 и 32; остается 8/3 * 5/1) = 40/3=13 1/3

2) 5 1/3 * 1 1/8= 16/3 * 9/8 (сокращаем 16 и 8; 3 и 9: 2/1 * 3/1) = 6

3) 13 1/3 - 6= 7 1/3

4) 1/3 * 7 1/3 = 1/3 * 22/3 = 22/9 = 2 4/9

5) 2 4/9 + 4 5/9 = 6 9/9= 7

Answer 2

Ответ:

Ответ 5 действие: 7

....,......

Answer 3

To solve the given expression:

1/3 * (2 2/15 * 6 1/4 - 5 1/3 * 1 1/8) + 4 5/9

First, let's simplify the terms within the parentheses:

2 2/15 * 6 1/4 = (32/15) * (25/4) = (32 * 25) / (15 * 4) = 800 / 60 = 40/3

5 1/3 * 1 1/8 = (16/3) * (9/8) = (16 * 9) / (3 * 8) = 144 / 24 = 6

Now, substitute the simplified values back into the expression:

1/3 * (40/3 - 6) + 4 5/9

Next, calculate the values inside the parentheses:

40/3 - 6 = (40 - 18) / 3 = 22 / 3

Substitute the value back into the expression:

1/3 * (22/3) + 4 5/9

Now, multiply the fraction by the whole number:

1/3 * (22/3) = (1 * 22) / (3 * 3) = 22/9

Substitute the value back into the expression:

22/9 + 4 5/9

To add the fractions, they need to have the same denominator:

22/9 + 4 5/9 = 22/9 + (4 * 9 + 5) / 9 = 22/9 + 41/9 = (22 + 41) / 9 = 63/9

Simplify the fraction:

63/9 = (7 * 9) / (1 * 9) = 7/1 = 7

Therefore, the solution to the given expression is 7.