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Add. $\newline$ $\frac{9}{10} + \frac{1}{2} =$ _____

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Add and subtract rational numbers

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Q. Add.

\newline

\frac{9}{10} + \frac{1}{2} =

_____

Convert to Common Denominator: $\frac{9}{10} + \frac{1}{2}$ $\newline$ Write it as a fraction with a common denominator. To find a common denominator for $10$ and $2$ , we can use $10$ since it is the least common multiple of both denominators. $\newline$ $\frac{9}{10} + \frac{1}{2}$ $\newline$ $= \frac{9}{10} + \frac{1\times5}{2\times5}$ $\newline$ $= \frac{9}{10} + \frac{5}{10}$
Add Fractions: Add the fractions with the common denominator. $\newline$ $\frac{9}{10} + \frac{5}{10}$ $\newline$ = $\frac{9+5}{10}$ $\newline$ = $\frac{14}{10}$
Simplify Result: Simplify $14/10$ . $14/10$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $14/10 = (14/2)/(10/2) = 7/5$

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