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Add. $\newline$ $\frac{7}{10} + \frac{4}{5}=$ _____

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Add and subtract rational numbers

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Q. Add.

\newline

\frac{7}{10} + \frac{4}{5}=

_____

Identify Common Denominator: Identify a common denominator for $\frac{7}{10}$ and $\frac{4}{5}$ . Both fractions can be expressed with a common denominator of $10$ , since $5$ is a factor of $10$ . The fraction $\frac{4}{5}$ needs to be converted to have a denominator of $10$ .
Convert to Denominator of $10$ : Convert $\frac{4}{5}$ to a fraction with a denominator of $10$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ $\frac{4}{5} \times \frac{2}{2} = \frac{8}{10}$ $\newline$ Now we have $\frac{7}{10} + \frac{8}{10}$ .
Add Fractions: Add the two fractions with the common denominator. $\frac{7}{10} + \frac{8}{10} = \frac{7+8}{10} = \frac{15}{10}$
Simplify Fraction: Simplify the fraction $\frac{15}{10}$ if possible. $\newline$ $\frac{15}{10}$ can be simplified to $1 \frac{5}{10}$ by dividing both the numerator and the denominator by $5$ . $\newline$ $\frac{15}{10} = 1 \frac{1}{2}$

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