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Add. $\newline$ $\frac{7}{10} + \frac{1}{10}=$ _____

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Add and subtract rational numbers

Full solution

Q. Add.

\newline

\frac{7}{10} + \frac{1}{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. $\newline$ $\frac{7}{10} + \frac{1}{10} = \frac{(7+1)}{10}$ $\newline$ Perform the addition of the numerators. $\newline$ $7 + 1 = 8$ $\newline$ So the new numerator is $8$ .
Write result as fraction: Write the result as a fraction. $\frac{7}{10} + \frac{1}{10} = \frac{8}{10}$
Simplify fraction: Simplify the fraction if possible. $\newline$ In this case, the fraction $\frac{8}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{8}{10} = \frac{(8\div2)}{(10\div2)}$ $\newline$ $\frac{8}{10} = \frac{4}{5}$

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