Solve x-2 1/3 is less than 2 1/6

Answer 1

To solve the inequality x - 2 1/3 < 2 1/6, we need to bring all the terms to the same denominator.

The denominator of 2 1/3 is 3, while the denominator of 2 1/6 is 6. To have the same denominator, we can multiply the numerator and denominator of 2 1/3 by 2 to get:

2 1/3 = 2 * (1/3) = 2/3 * 2 = 4/6

Now our inequality becomes:

x - 4/6 < 2 1/6

To simplify further, we need to add 4/6 to both sides to isolate x:

x - 4/6 + 4/6 < 2 1/6 + 4/6
x < 2 5/6

Therefore, the solution to the inequality x - 2 1/3 < 2 1/6 is x < 2 5/6.