Question

2 2/3:x+1/3=1 1/2:x-1 1/8

Answer 1

$2 \frac{2}{3} \div x + \frac{1}{3} = 1.5 \div x - 1 \frac{1}{8}$
$\frac{2 \frac{2}{3} }{x} - \frac{1.5}{x} = - 1 \frac{3}{24} - \frac{8}{24} = - 1 \frac{11}{24} \\ \frac{ 2\frac{20}{30} }{x} - \frac{1 \frac{15}{30} }{x} = - 1 \frac{11}{24} \\ \frac{1 \frac{1}{6} }{x} = - 1 \frac{11}{24} \\ x = - \frac{7}{6} \times \frac{24}{35} \\ x = - \frac{4}{5} \\ x = - 0.8$

Answer 2

8/3*1/x+1/3=3/2*1/x-9/8
8/3x+1/3=3/2x-9/8
8/3x-3/2x=-9/8-1/3
7/6x=-35/24
168=-210x
-210x=168
x=-0,8

Answer 3

To solve the equation, we'll first rewrite the mixed numbers as improper fractions. Then, we can isolate the variable x and find its value.

Given equation:

2 2/3 : x + 1/3 = 1 1/2 : x - 1 1/8

Step 1: Convert mixed numbers to improper fractions:

2 2/3 = (2 * 3 + 2) / 3 = 8/3 1 1/2 = (1 * 2 + 1) / 2 = 3/2 1 1/8 = (1 * 8 + 1) / 8 = 9/8

Now the equation becomes:

(8/3) : x + (1/3) = (3/2) : x - (9/8)

Step 2: Get rid of fractions by multiplying each term by the least common multiple (LCM) of the denominators. In this case, the LCM of 3, 2, and 8 is 24.

24 * (8/3) : x + 24 * (1/3) = 24 * (3/2) : x - 24 * (9/8)

Step 3: Simplify and solve:

8 * 8 : x + 8 = 12 * 12 : x - 27

64 : x + 8 = 144 : x - 27

Step 4: Isolate the x variable on one side of the equation. Let's get all the x terms on the left side and the constant terms on the right side.

64 : x - 144 : x = 27 - 8

Step 5: Combine the x terms on the left side:

(64 - 144) : x = 19

-80 : x = 19

Step 6: Solve for x:

x = 19 / (-80)

x = -19/80

So, the value of x that satisfies the equation is -19/80.