Question

11 2/7 -3 1/5 -x=2 4/7

Answer 1

Ответ:

Смотри решение на фото..

Answer 2

To solve for x in the equation:

11 2/7 - 3 1/5 - x = 2 4/7

First, let's convert all the mixed numbers to improper fractions:

11 2/7 = (7 * 11 + 2)/7 = 77/7 + 2/7 = 79/7 3 1/5 = (5 * 3 + 1)/5 = 15/5 + 1/5 = 16/5 2 4/7 = (7 * 2 + 4)/7 = 14/7 + 4/7 = 18/7

Now the equation becomes:

79/7 - 16/5 - x = 18/7

Next, let's find a common denominator for all the fractions, which in this case is 35, since it's the least common multiple of 7 and 5:

(79/7)(5/5) - (16/5)(7/7) - (x*(35/35)) = (18/7)*(5/5)

Now, the equation becomes:

(395/35) - (112/35) - (x*35/35) = (90/35)

Combine like terms:

(395/35 - 112/35) - (x*35/35) = 90/35

(283/35) - (x*35/35) = 90/35

Now, subtract (283/35) from both sides to isolate x:

-x*35/35 = 90/35 - 283/35

-x*35/35 = -193/35

Now, multiply both sides by -1 to solve for x:

x = (193/35) / (35/35)

x = (193/35)

So, the value of x is 193/35.