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x=\frac{\frac{55}{10}+\frac{176}{10}}{2}
Least common multiple of 2 and 5 is 10. Convert \frac{11}{2} and \frac{88}{5} to fractions with denominator 10.
x=\frac{\frac{55+176}{10}}{2}
Since \frac{55}{10} and \frac{176}{10} have the same denominator, add them by adding their numerators.
x=\frac{\frac{231}{10}}{2}
Add 55 and 176 to get 231.
x=\frac{231}{10\times 2}
Express \frac{\frac{231}{10}}{2} as a single fraction.
x=\frac{231}{20}
Multiply 10 and 2 to get 20.