Question

2/5x +2/3x-7/15x=2 1/2 HELP ME

Answer 1

Ответ:

х = 4 1/6

Пошаговое объяснение:

2/5x +2/3x-7/15x=2 1/2

Приведём все дроби к единому знаменателю 15:

2/5x*3 + 2/3x*5 - 7/15x = 2 1/2

6/15х + 10/15х - 7/15х = 5/2

9/15х = 5/2

3/5х = 5/2

х = 5/2 : 3/5 = 5/2 * 5/3

х = 25/6 = 4 1/6

Answer 2

Sure, I can help you solve this equation step by step. The equation you have is:

(2/5)x + (2/3)x - (7/15)x = 2 1/2

First, let's simplify the fractions on the left side of the equation. To do this, find a common denominator, which in this case is 15. Then, rewrite each fraction with the common denominator:

(6/15)x + (10/15)x - (7/15)x = 2 1/2

Now, combine like terms on the left side:

(6/15)x + (10/15)x - (7/15)x = 2 1/2

[(6/15)x + (10/15)x] - (7/15)x = 2 1/2

(16/15)x - (7/15)x = 2 1/2

Now, subtract (7/15)x from (16/15)x:

(16/15 - 7/15)x = 2 1/2

Now, simplify the coefficients:

(9/15)x = 2 1/2

Next, simplify the right side by converting 2 1/2 to an improper fraction:

(9/15)x = 5/2

Now, we need to isolate x. To do this, multiply both sides of the equation by the reciprocal of (9/15), which is (15/9) or (5/3):

[(9/15)x] * (5/3) = (5/2) * (5/3)

Cancel out common factors between the fractions:

(3/5) * (5/3)x = (5/2) * (5/3)

Now, simplify:

(1)x = (25/6)

x = 25/6

So, the solution to the equation is:

x = 25/6 or x = 4 1/6