Question

1целая 3/8+(5/6х-5/6)=2целых1/4

Answer 1

1целая 3/8+(5/6х-5/6)=2целых1/411/8+5/6x-5/6=9/4
5/6x=9/4-11/8+5/6
5/6x=(18-11)/8+5/6
5/6x=7/8+5/6
5/3x=7/4+5/3
5/3x=41/12
5x=41/4
x=41/20

Answer 2

To solve for x in the equation:

1 3/8 + (5/6 x - 5/6) = 2 1/4

We can start by simplifying the mixed numbers on both sides of the equation:

1 3/8 = (8/8 x 1) + 3/8 = 11/8

2 1/4 = (8/8 x 2) + 1/4 = 9/4

Now, we can substitute these values into the equation and simplify:

11/8 + (5/6 x - 5/6) = 9/4

To simplify the expression (5/6 x - 5/6), we can factor out 5/6:

5/6 (x - 1) = 9/4 - 11/8

We can find a common denominator for the right side of the equation:

9/4 - 11/8 = 18/8 - 11/8 = 7/8

Now we can substitute this value and simplify:

5/6 (x - 1) = 7/8

Multiplying both sides by the reciprocal of 5/6, we get:

x - 1 = (7/8) / (5/6) = (7/8) x (6/5) = 21/40

Adding 1 to both sides of the equation, we get:

x = 21/40 + 1 = 61/40

Therefore, the solution to the equation is:

x = 61/40, or as a mixed number, x = 1 21/40.