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\frac{3}{12}+\frac{2}{12}=v
Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.
\frac{3+2}{12}=v
Since \frac{3}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.
\frac{5}{12}=v
Add 3 and 2 to get 5.
v=\frac{5}{12}
Swap sides so that all variable terms are on the left hand side.