Properties of Addition of Rational Numbers

Find the additive inverse of $\frac{-7}{-12}$

Find the additive inverse of $\frac{2}{-3}$.

Using appropriate properties of addition, find the following:

$\frac{4}{5}+\frac{11}{7}+\frac{-7}{5}+\frac{-2}{7}$

Using appropriate properties of addition, find the following:

$\frac{3}{7}+\frac{4}{9}+\frac{-5}{21}+\frac{2}{3}$

Write the result in mixed fraction.

Add $\frac{7}{-13}$ and $\frac{4}{-13}$

Add $\frac{4}{7}$ and $\frac{5}{7}$.

Rational numbers are not closed under

Sum of a rational number and its additive inverse is

If $a=\frac{-11}{27}, b=\frac{4}{9}$ and $c=\frac{-5}{18}$, then verify that $a+(b+c)=(a+b)+c$.

$\frac{4}{11}+\left[\left(\frac{-7}{12}\right)+\frac{9}{10}\right]=\left[\left(\frac{4}{11}\right)+\left(\frac{-7}{12}\right)\right]+$_____

$\left(\frac{43}{89}\right)+\left(\frac{-51}{47}\right)=$_____ $+\left(\frac{43}{89}\right)$

$\left(\frac{-4}{9}\right)+\left(\frac{2}{7}\right)$ is a _____ number

Verify that $-(-x)=x$ for $x=-\frac{15}{17}$.

Verify that $-(-x)=x$ for $x=\frac{10}{13}$

Verify commutative property of addition for the following pair of rational numbers:

$\frac{9}{11}$ and $\frac{2}{13}$

Verify commutative property of addition for the following pairs of rational numbers:

$\frac{-2}{-5}$ and $\frac{1}{3}$

Verify commutative property of addition for the following pair of rational numbers:

$\frac{-4}{3}$ and $\frac{3}{7}$

Simplify: $\frac{-4}{9}+2\frac{12}{13}$

Simplify: $\frac{5}{11}+4\frac{3}{9}$