1) 8 9/10 - х = 4 5/6; 2) 9/14 + (х - 3/7) = 23/28.

Предыдущий
вопрос Следующий
вопрос

1) To solve the first equation, we first need to convert the mixed fractions into improper fractions.

8 9/10 = 89/10
4 5/6 = 29/6

So, the equation becomes:

89/10 - x = 29/6

To solve for x, we need to isolate x by first getting rid of the fraction on the left side. We can do this by finding a common denominator for 10 and 6, which is 30.

Multiplying every term by 30, we get:

30(89/10) - 30x = 30(29/6)
267 - 30x = 145

Subtracting 267 from both sides:

-30x = -122

Dividing by -30 to solve for x:

x = 122/30
x = 61/15

Therefore, x = 61/15 or 4 1/15.

2) For the second equation, we first need to simplify it by combining like terms.

9/14 + (x - 3/7) = 23/28

To combine the fractions on the left side, we first find a common denominator for 14 and 7, which is 28.

Multiplying every term by 28, we get:

28(9/14) + 28(x - 3/7) = 28(23/28)
18 + 28x - 12 = 23

Combining like terms:

28x + 6 = 23

Subtracting 6 from both sides:

28x = 17

Dividing by 28 to solve for x:

x = 17/28

Therefore, x = 17/28.