Question

4 5/12 - 5 3/5х = 2 2/3

Answer 1

Відповідь: 4 5/12 - 5 3/5х = 2 2/3

5 3/5х = 4 5/12 - 2 2/3

5 3/5х = 4 5/12 - 2 8/12

5 3/5х = 3 17/12 - 2 8/12

5 3/5х = 1 9/12

5 3/5х = 1 3/4

28/5х = 7/4

х = 7/4 : 28/5

х = 7/4 * 5/28 = (1*5)/(4*4)

х = 5/16

Покрокове пояснення :

Answer 2

To solve the equation 4 5/12 - 5 3/5x = 2 2/3, we'll start by converting the mixed numbers into improper fractions.

4 5/12 can be written as (4 * 12 + 5) / 12 = 53/12. 5 3/5 can be written as (5 * 5 + 3) / 5 = 28/5. 2 2/3 can be written as (2 * 3 + 2) / 3 = 8/3.

Substituting these values back into the equation, we have: 53/12 - (28/5)x = 8/3.

To get rid of the fractions, we can multiply the entire equation by the least common denominator (LCD), which is 60 in this case. Multiplying both sides of the equation by 60, we get:

(60 * 53/12) - (60 * (28/5)x) = (60 * 8/3).

Simplifying this equation gives us:

265 - 336x = 160.

Now, let's isolate the variable x. Subtracting 265 from both sides:

-336x = 160 - 265, -336x = -105.

To solve for x, we'll divide both sides of the equation by -336:

x = (-105) / (-336).

Dividing -105 by -336 gives us:

x ≈ 0.3125.

Therefore, the solution to the equation 4 5/12 - 5 3/5x = 2 2/3 is x ≈ 0.3125.