Question

2 3/4 - ( 1 - х ) = 1 1/3 Решите уравнение

Answer 1

2 3/4-(1-x)=1 1/3

2 3/4-1+x=1 1/3

1 3/4+x=1 1/3

x=1 1/3- 1 3/4=1 4/12-1 9/12

x=-5/12

Answer 2

Let's begin by simplifying the left side of the equation:

2 3/4 - (1 - x) = 1 1/3

We can start by converting the mixed numbers to improper fractions:

11/4 - (3/3 - x) = 4/3

Next, we simplify the parentheses by subtracting 3/3 from 1:

11/4 - (1/3 + x) = 4/3

Now, we can eliminate the parentheses by distributing the negative sign:

11/4 - 1/3 - x = 4/3

To simplify the left side, we'll need to find a common denominator. The least common multiple of 4 and 3 is 12, so we can rewrite the equation as:

33/12 - 4/12 - x = 16/12

Simplifying the left side:

29/12 - x = 16/12

Subtracting 29/12 from both sides:

-x = -1/3

Finally, we can solve for x by multiplying both sides by -1:

x = 1/3

Therefore, the solution to the equation is x = 1/3.