Answer:
The answer is [tex]n=28\frac{11}{15}[/tex].
Step-by-step explanation:
Given:
18 2/5 - n = -10 1/3.
Now, to solve the equation:
[tex]18\frac{2}{5} - n = -10 \frac{1}{3}[/tex]
Converting the mixed fractions to improper:
⇒[tex]\frac{92}{5} -n=-\frac{31}{3}[/tex]
Moving the numbers on one side and variable to the other:
⇒[tex]\frac{92}{5} +\frac{31}{3}=n[/tex]
Now, solving the factions:
⇒[tex]\frac{92\times 3+31\times 5}{15}=n[/tex]
⇒[tex]\frac{276+155}{15}=n[/tex]
⇒[tex]\frac{431}{15}=n[/tex]
⇒[tex]28\frac{11}{15}=n[/tex]
Therefore, the answer is [tex]n=28\frac{11}{15}[/tex].
