Answer:
[tex]\frac{43}{3}[/tex]
Step-by-step explanation:
21/2 + 11/3 + 1/6
Least common multiple of 2 and 3 is 6. Convert [tex]\frac{21}{2}[/tex] and [tex]\frac{11}{3}[/tex] to fractions with denominator 6.
[tex]\frac{63}{6}[/tex] + [tex]\frac{22}{6}[/tex] + [tex]\frac{1}{6}[/tex]
Since [tex]\frac{63}{6} and \frac{22}{6}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{63 + 22}{6}[/tex] + [tex]\frac{1}{6}[/tex]
Add 63 and 22 to get 85.
[tex]\frac{85}{6}[/tex] + [tex]\frac{1}{6}[/tex]
Since [tex]\frac{85}{6} and \frac{1}{6}[/tex] have the same denominator, add them by adding their numerators
[tex]\frac{85 + 1}{6}[/tex]
Add 85 and 1 to get 86.
[tex]\frac{86}{6}[/tex]
Reduce the fraction [tex]\frac{86}{6}[/tex] to lowest terms by extracting and canceling out 2.
[tex]\frac{43}{3}[/tex]
