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

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Add and subtract rational numbers

Full solution

Q. Add.

\newline

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

_____

Identify common denominator: Identify the common denominator for $\frac{1}{10}$ and $\frac{1}{2}$ . The least common denominator (LCD) for $10$ and $2$ is $10$ .
Convert to common denominator: Convert $\frac{1}{2}$ to a fraction with the common denominator of $10$ . $\newline$ $\frac{1}{2}$ is equivalent to $\frac{5}{10}$ because $1 \times 5 = 5$ and $2 \times 5 = 10$ .
Add fractions: Add the two fractions with the common denominator. $\frac{1}{10} + \frac{5}{10} = \frac{(1 + 5)}{10}$
Perform addition: Perform the addition in the numerator. $1 + 5 = 6$
Write as fraction: Write the result as a fraction. $\frac{6}{10}$
Simplify fraction: Simplify the fraction if possible. $\frac{6}{10}$ can be simplified to $\frac{3}{5}$ because both the numerator and the denominator can be divided by $2$ .

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