Question

(5 1/7+х)-6 2/3=1 17/21

Answer 1

Ответ:

ответ смотрите в фото сверху

Answer 2

Ответ:

x=3 1/3

Пошаговое объяснение:

Answer 3

To solve the equation:

(5 1/7 + x) - 6 2/3 = 1 17/21

First, let's convert the mixed numbers to improper fractions:

5 1/7 = (5 * 7 + 1) / 7 = 36/7

6 2/3 = (6 * 3 + 2) / 3 = 20/3

1 17/21 = (1 * 21 + 17) / 21 = 38/21

Now, substitute the fractions back into the equation:

(36/7 + x) - 20/3 = 38/21

To simplify the equation, we need to find a common denominator. The least common multiple (LCM) of 7, 3, and 21 is 21. So, let's convert all fractions to have a denominator of 21:

(36/7) * (3/3) = 108/21

(20/3) * (7/7) = 140/21

(38/21) * (1/1) = 38/21

Now the equation becomes:

(108/21 + x) - 140/21 = 38/21

Combine the fractions:

(108 + 21x - 140) / 21 = 38/21

Simplify the numerator:

(108 - 140 + 21x) / 21 = 38/21

-32 + 21x = 38

Now, solve for x:

21x = 38 + 32

21x = 70

x = 70/21

Simplify the fraction:

x = 10/3

Therefore, the solution to the equation (5 1/7 + x) - 6 2/3 = 1 17/21 is x = 10/3.