Answer:
n = [tex]\frac{73}{12}[/tex] = 6 [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Given
n + 2 [tex]\frac{3}{4}[/tex] = 8 [tex]\frac{5}{6}[/tex]
Change the mixed numbers intp improper fractions
n + [tex]\frac{11}{4}[/tex] = [tex]\frac{53}{6}[/tex]
Multiply through by 12 to clear the fractions
12n + 33 = 106 ( subtract 33 from both sides )
12n = 73 ( divide both sides by 12 )
n = [tex]\frac{73}{12}[/tex] = 6 [tex]\frac{1}{12}[/tex]