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\frac{-\frac{375+16}{25}}{4.6}+7.1
Multiply 15 and 25 to get 375.
\frac{-\frac{391}{25}}{4.6}+7.1
Add 375 and 16 to get 391.
\frac{-391}{25\times 4.6}+7.1
Express \frac{-\frac{391}{25}}{4.6} as a single fraction.
\frac{-391}{115}+7.1
Multiply 25 and 4.6 to get 115.
-\frac{17}{5}+7.1
Reduce the fraction \frac{-391}{115} to lowest terms by extracting and canceling out 23.
-\frac{17}{5}+\frac{71}{10}
Convert decimal number 7.1 to fraction \frac{71}{10}.
-\frac{34}{10}+\frac{71}{10}
Least common multiple of 5 and 10 is 10. Convert -\frac{17}{5} and \frac{71}{10} to fractions with denominator 10.
\frac{-34+71}{10}
Since -\frac{34}{10} and \frac{71}{10} have the same denominator, add them by adding their numerators.
\frac{37}{10}
Add -34 and 71 to get 37.