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Add. $\newline$ $\frac{9}{10} + \frac{7}{10}=$ _____

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Add and subtract rational numbers

Full solution

Q. Add.

\newline

\frac{9}{10} + \frac{7}{10}=

_____

Identify common denominator: Identify the common denominator. $\newline$ Both fractions have the same denominator, which is $10$ . This means we can add the numerators directly.
Add numerators: Add the numerators. $\newline$ $\frac{9}{10} + \frac{7}{10} = \frac{(9+7)}{10}$ $\newline$ Now, perform the addition of the numerators. $\newline$ $9 + 7 = 16$ $\newline$ So, the new numerator is $16$ .
Write result as fraction: Write the result as a fraction. Combine the new numerator with the common denominator. $\frac{16}{10}$
Simplify fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{16}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{16}{10} = \frac{(16/2)}{(10/2)}$ $\newline$ $\frac{16}{10} = \frac{8}{5}$

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