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Add. $\newline$ $\frac{9}{10} + \frac{4}{5} =$ _____

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Add and subtract rational numbers

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Q. Add.

\newline

\frac{9}{10} + \frac{4}{5} =

_____

Identify Common Denominator: Identify a common denominator for $\frac{9}{10}$ and $\frac{4}{5}$ . Both fractions can be expressed with a denominator of $10$ , since $5$ is a factor of $10$ . The fraction $\frac{4}{5}$ needs to be converted to have a denominator of $10$ . $\frac{4}{5} = \frac{(4\times2)}{(5\times2)} = \frac{8}{10}$
Add Fractions: Add the two fractions with the common denominator. $\newline$ Now that both fractions have the same denominator, we can add their numerators. $\newline$ $\frac{9}{10} + \frac{8}{10} = \frac{9+8}{10} = \frac{17}{10}$
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{17}{10}$ is already in its simplest form because the numerator and the denominator have no common factors other than $1$ .

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