Question

5/6а - 4/5 а +1=1/2а -2/5

Answer 1

Надеюсь все понятно

Answer 2

To solve the equation, let's simplify the terms and combine like terms on both sides:

Given equation: 5/6a - 4/5a + 1 = 1/2a - 2/5

To simplify the equation, we need to find a common denominator for the fractions. The least common multiple (LCM) of 6, 5, and 2 is 30. Multiplying each term by 30 will eliminate the denominators:

30 * (5/6a) - 30 * (4/5a) + 30 * 1 = 30 * (1/2a) - 30 * (2/5)

After multiplying, we have:

25a - 24a + 30 = 15a - 12

Next, combine like terms:

(25a - 24a) + 30 = 15a - 12

a + 30 = 15a - 12

To isolate the variable, we'll move all terms with 'a' to one side:

a - 15a = -12 - 30

-14a = -42

Divide both sides by -14 to solve for 'a':

a = (-42) / (-14)

Simplifying the right side:

a = 3

Therefore, the solution to the equation is a = 3.