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4\left(\frac{5}{14}+\frac{2}{14}\right)
Least common multiple of 14 and 7 is 14. Convert \frac{5}{14} and \frac{1}{7} to fractions with denominator 14.
4\times \frac{5+2}{14}
Since \frac{5}{14} and \frac{2}{14} have the same denominator, add them by adding their numerators.
4\times \frac{7}{14}
Add 5 and 2 to get 7.
4\times \frac{1}{2}
Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.
\frac{4}{2}
Multiply 4 and \frac{1}{2} to get \frac{4}{2}.
2
Divide 4 by 2 to get 2.