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\frac{100}{75}+\frac{1}{10}
Expand \frac{1}{0.75} by multiplying both numerator and the denominator by 100.
\frac{4}{3}+\frac{1}{10}
Reduce the fraction \frac{100}{75} to lowest terms by extracting and canceling out 25.
\frac{40}{30}+\frac{3}{30}
Least common multiple of 3 and 10 is 30. Convert \frac{4}{3} and \frac{1}{10} to fractions with denominator 30.
\frac{40+3}{30}
Since \frac{40}{30} and \frac{3}{30} have the same denominator, add them by adding their numerators.
\frac{43}{30}
Add 40 and 3 to get 43.