Respuesta :

Answer:

[tex]\bold{\dfrac{19m-8}{24}}[/tex]

explanation:

[tex]\sf \rightarrow \dfrac{1}{6}m-\left(-\dfrac{5}{8}m+\dfrac{1}{3}\right)[/tex]

[tex]\sf \rightarrow \dfrac{m}{6}+\dfrac{5m}{8}-\dfrac{1}{3}[/tex]

[tex]\sf \rightarrow \dfrac{4m}{24}+\dfrac{15m}{24}-\dfrac{1}{3}[/tex]

[tex]\sf \rightarrow \dfrac{4m+15m}{24}-\dfrac{1}{3}[/tex]

[tex]\sf \rightarrow \dfrac{19m}{24}-\dfrac{1}{3}[/tex]

[tex]\sf \rightarrow \dfrac{19m}{24}-\dfrac{8}{24}[/tex]

[tex]\sf \rightarrow \dfrac{19m-8}{24}[/tex]

Answer:

[tex]\frac{19m-8}{24}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6}m-(-\frac{5}{8}m+\frac{1}{3})[/tex]

[tex]\frac{m}{6}+\frac{5m}{8}-\frac{1}{3}[/tex]

[tex]\frac{4m}{24}+\frac{15m}{24}-\frac{1}{3}[/tex]

[tex]\frac{4m+15m}{24}-\frac{1}{3}[/tex]

[tex]\frac{19m}{24}-\frac{1}{3}[/tex]

[tex]\frac{19m}{24}-\frac{8}{24}[/tex]

[tex]\frac{19m-8}{24}[/tex]

-{ModPatrol}