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The common denominator of the two fractions is: 50

$ \frac{7}{10 }= \frac{(5*7)}{(5*10)} =\frac{ 35}{50} $

$ \frac{8}{25 }= \frac{(2*8)}{(2*25)} =\frac{ 16}{50} $

Fractions adjusted to a common denominator

$ \frac{7}{10 }+\frac{ 8}{25 }=\frac{ 35}{50 }+\frac{ 16}{50} $

$ \frac{35}{50 }+\frac{ 16}{50 }= \frac{(16+35)}{50} $

$ \frac{(16+35)}{50 }=\frac{ 51}{50} $

$ $

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