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\frac{1}{4}+\frac{2}{7}
Reduce the fraction \frac{7}{28} to lowest terms by extracting and canceling out 7.
\frac{7}{28}+\frac{8}{28}
Least common multiple of 4 and 7 is 28. Convert \frac{1}{4} and \frac{2}{7} to fractions with denominator 28.
\frac{7+8}{28}
Since \frac{7}{28} and \frac{8}{28} have the same denominator, add them by adding their numerators.
\frac{15}{28}
Add 7 and 8 to get 15.