Question

2/3x-1/2x+x+2 целых 1/6 = 4,5

Answer 1

$\frac{2}{3} x - \frac{1}{2} x + x + 2 \frac{1}{6} = 4.5\\ \\ \frac{4}{6} x - \frac{3}{6} x + x + 2 \frac{1}{6} = 4.5 \\ \\ 1 \frac{1}{6} x + 2 \frac{1}{6} = 4.5 \\ \\ \frac{7}{6} x = \frac{270}{60} - \frac{130}{60} \\ \\ \frac{7}{6} x = \frac{14}{6} \\ \\ x = \frac{14 \times 6}{6 \times 7} \\ \\ x = 2$

Ответ: 2

Answer 2

To solve the equation, let's simplify and solve step by step:

2/3x - 1/2x + x + 2 = 4.5

To add or subtract fractions, we need a common denominator. The least common multiple of 3 and 2 is 6. So, let's convert the fractions to have a denominator of 6:

(4/6)x - (3/6)x + 6/6x + 2 = 4.5

Now, simplify the fractions:

(2/6)x + (3/6)x + 6/6x + 2 = 4.5

Next, combine the like terms:

(5/6)x + 6/6x + 2 = 4.5

(11/6)x + 2 = 4.5

To isolate the variable, subtract 2 from both sides:

(11/6)x = 4.5 - 2

(11/6)x = 2.5

To solve for x, multiply both sides by the reciprocal of (11/6), which is (6/11):

x = (2.5)(6/11)

x = 15/11

The solution to the equation is x = 15/11 or approximately 1.36.