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\frac{4}{2}+3\times \frac{1}{4}
Multiply 4 and \frac{1}{2} to get \frac{4}{2}.
2+3\times \frac{1}{4}
Divide 4 by 2 to get 2.
2+\frac{3}{4}
Multiply 3 and \frac{1}{4} to get \frac{3}{4}.
\frac{8}{4}+\frac{3}{4}
Convert 2 to fraction \frac{8}{4}.
\frac{8+3}{4}
Since \frac{8}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.
\frac{11}{4}
Add 8 and 3 to get 11.