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70t\left(\frac{10}{70}+\frac{7}{70}\right)
Least common multiple of 7 and 10 is 70. Convert \frac{1}{7} and \frac{1}{10} to fractions with denominator 70.
70t\times \frac{10+7}{70}
Since \frac{10}{70} and \frac{7}{70} have the same denominator, add them by adding their numerators.
70t\times \frac{17}{70}
Add 10 and 7 to get 17.
17t
Cancel out 70 and 70.
70t\left(\frac{10}{70}+\frac{7}{70}\right)
Least common multiple of 7 and 10 is 70. Convert \frac{1}{7} and \frac{1}{10} to fractions with denominator 70.
70t\times \frac{10+7}{70}
Since \frac{10}{70} and \frac{7}{70} have the same denominator, add them by adding their numerators.
70t\times \frac{17}{70}
Add 10 and 7 to get 17.
17t
Cancel out 70 and 70.