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The common denominator of the two fractions is: 80

$ \frac{9}{16 }= \frac{(5*9)}{(5*16)} =\frac{ 45}{80} $

$ -\frac{7}{10 }= \frac{(-7*8)}{(8*10)} = -\frac{56}{80} $

Fractions adjusted to a common denominator

$ \frac{9}{16 }+ -\frac{7}{10 }=\frac{ 45}{80 }+ -\frac{56}{80} $

$ \frac{45}{80 }+ -\frac{56}{80 }= \frac{(45-56)}{80} $

$ \frac{(45-56)}{80 }= -\frac{11}{80} $

$ $

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