Fractional Number and their Representation on Number Line

State True or False
$2\times \left(6+3\right)=2\times 6+2\times 3$

State True or False
$15+8=8+$_____

Additive inverse of integer $7$ is _____

If the value the given rational number in the simplest form $\frac{18}{45}$ is $\frac{a}{5}$, then find the value of $a$

Convert the following rational numbers to decimal form: $\frac{-16}{5}$

Express the following rational numbers in decimal form: $\frac{3 }{8 }$

Express the following rational numbers in decimal form: $\frac{19}{6}$

If $\mathrm{x}=\frac{5}{9}, \mathrm{y}=\frac{2}{3}$, then show that $|x\times y|=\left|x\right|\times \left|y\right|$

Solve:

$\left(\frac{-36}{5}\right)\times \left(\frac{20}{-3}\right)$

Solve:

$(-32)\times \left(\frac{-7}{36}\right)$

Solve:

$\left(\frac{-9}{8}\right)\times \left(\frac{-32}{-3}\right)$

Simplify the following:

$\frac{49}{39}\times \left(\frac{-26}{14}\right)$

Simplify the following:

$\left(\frac{5}{-7}\right)\times \left(\frac{-13}{6}\right)$

Identify the shaded part of the following figure.

Which of the following are considered as improper fraction.

Express the following mixed fraction as an improper fraction.

$4\frac{1}{3}$

Express the following improper fractions as a mixed fraction.

$\frac{66}{8}$

Represent $\frac{-7}{4}$ on the number line.

Ram school bag weighs $3\frac{1}{2} \mathrm{kg}$ with the books in it. If the books alone weigh $2\frac{3}{4} \mathrm{kg}$, If the the weight of the bag alone is $\frac{a}{b} \mathrm{kg}$, then find the value of $\frac{a}{b}$.

Represent on the number line: $-\frac{5}{2}$