Respuesta :

Step-by-step explanation:

Hi there!!

Here, the thing is we should add them first yaa.

so, let's add them

[tex] = - 2 \frac{1}{6} + \frac{7}{3} [/tex]

by taking lcm we get their lcm is 6 and let's do it according to that,

[tex] = \frac{ - 12 \times 1}{6} + \frac{7 \times 2}{6} [/tex]

now, let's simplify them ok..

[tex] = \frac{ - 12 + 14}{6} [/tex]

so, we get 2/6 (i.e 1/3)

now, the number line must be greator than 1 and less than 1.

Hope it helps...

Basically How many times does 3 go into 7. 7/3 = 2 1/3. The way that you make the denominators the same is by finding the lowest common denominator which is 6. You multiply the denominator so that it is the same as the other denominator. Which would be 3 times 2 then since you multiply the denominator by to you multiply the numerator by 2. So you will have -2 1/6 and 2 2/6