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\frac{4}{8}-\frac{1}{8}+\frac{1}{8}
Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.
\frac{4-1}{8}+\frac{1}{8}
Since \frac{4}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{8}+\frac{1}{8}
Subtract 1 from 4 to get 3.
\frac{3+1}{8}
Since \frac{3}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.
\frac{4}{8}
Add 3 and 1 to get 4.
\frac{1}{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.