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\frac{90+9}{10}-\left(-9.7\right)
Multiply 9 and 10 to get 90.
\frac{99}{10}-\left(-9.7\right)
Add 90 and 9 to get 99.
\frac{99}{10}+9.7
The opposite of -9.7 is 9.7.
\frac{99}{10}+\frac{97}{10}
Convert decimal number 9.7 to fraction \frac{97}{10}.
\frac{99+97}{10}
Since \frac{99}{10} and \frac{97}{10} have the same denominator, add them by adding their numerators.
\frac{196}{10}
Add 99 and 97 to get 196.
\frac{98}{5}
Reduce the fraction \frac{196}{10} to lowest terms by extracting and canceling out 2.