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Add. $\newline$ $\frac{7}{10} + \frac{3}{5} =$ _____

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Add and subtract rational numbers

Full solution

Q. Add.

\newline

\frac{7}{10} + \frac{3}{5} =

_____

Identify Common Denominator: Identify a common denominator for $\frac{7}{10}$ and $\frac{3}{5}$ . Both fractions can be expressed with a common denominator of $10$ , since $5$ is a factor of $10$ .
Convert $\frac{3}{5}$ to $10$ : Convert $\frac{3}{5}$ to a fraction with a denominator of $10$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ $\frac{3}{5} = \frac{(3\times2)}{(5\times2)} = \frac{6}{10}$
Add Fractions: Add the two fractions with the common denominator. $\frac{7}{10} + \frac{6}{10} = \frac{7+6}{10} = \frac{13}{10}$
Simplify Fraction: Simplify the fraction if possible. $\frac{13}{10}$ is already in its simplest form, as $13$ is a prime number and cannot be divided evenly by $10$ .

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