Answer:
[tex] \frac{17}{24} [/tex]
Step-by-step explanation:
We want to simplify:
[tex]\frac{2}{3} -\frac{7}{12} +\frac{5}{8}[/tex]
The least common denominator is 24.
We collect LCD to obtain:
[tex] \frac{2 \times 8 + 7 \times2 + 5 \times 3}{24} [/tex]
We multiply out to get:
[tex] \frac{16 - 14 + 15}{24} [/tex]
Simplify the numerator to get:
[tex] \frac{17}{24} [/tex]