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Add. $\newline$ $\frac{9}{10} + \frac{1}{5}=$ _____

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Add and subtract rational numbers

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Q. Add.

\newline

\frac{9}{10} + \frac{1}{5}=

_____

Identify Common Denominator: Identify a common denominator for $\frac{9}{10}$ and $\frac{1}{5}$ . The denominators are $10$ and $5$ . The least common denominator (LCD) for these two fractions is $10$ because $10$ is the smallest number that both $5$ and $10$ can divide into without leaving a remainder.
Convert to Common Denominator: Convert $\frac{1}{5}$ to a fraction with the common denominator of $10$ . To convert $\frac{1}{5}$ to a fraction with a denominator of $10$ , multiply both the numerator and the denominator by $2$ . $\frac{1}{5} \times \left(\frac{2}{2}\right) = \frac{2}{10}$
Add Fractions: Add the two fractions with the common denominator. $\newline$ Now that both fractions have the same denominator, you can add them together. $\newline$ $\frac{9}{10} + \frac{2}{10} = \frac{9+2}{10}$
Perform Numerator Addition: Perform the addition of the numerators. $\newline$ Add the numerators together. $\newline$ $9 + 2 = 11$ $\newline$ So, $\frac{9}{10} + \frac{2}{10} = \frac{11}{10}$
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{11}{10}$ is already in its simplest form because the numerator and denominator have no common factors other than $1$ .

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