I need some help with this algebra! 10+ pts.

\frac{2}{3} -\frac{7}{12} +\frac{5}{8} = ?

I need this answer in an improper or mixed fraction :).
Thank you, and please show me the work for brainliest!

Respuesta :

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]