State, true or false:

(i) $\dfrac{7}{9} = \dfrac{7 + 5}{9 + 5}$

(ii) $\dfrac{7}{9} = \dfrac{7 - 5}{9 - 5}$

(iii) $\dfrac{7}{9} = \dfrac{7 \times 5}{9 \times 5}$

(iv) $\dfrac{7}{9} = \dfrac{7 ÷ 5}{9 ÷ 5}$

(v) $\dfrac{-5}{-12}$ is a negative rational number.

(vi) $\dfrac{-13}{25}$ is smaller than $\dfrac{-25}{13}$

The weight of an empty fruit basket is $2\dfrac{1}{3}$ kg. It contains $5\dfrac{5}{6}$ kg grapes and $8\dfrac{3}{8}$ % mangoes. Find the total weight of basket with fruits.

For three rational numbers $\dfrac{a}{b}$ , $\dfrac{c}{d}$ and $\dfrac{e}{f}$, we have:

1. $\dfrac{a}{b} - \Big(\dfrac{c}{d} - \dfrac{e}{f}\Big) = \dfrac{a}{b} - \dfrac{c}{d} + \dfrac{e}{f}$

2. $\dfrac{a}{b} - \Big(\dfrac{c}{d} - \dfrac{e}{f}\Big) = \dfrac{a}{b} - \dfrac{c}{d} - \dfrac{e}{f}$

3. $\dfrac{a}{b} + \Big(\dfrac{c}{d} + \dfrac{e}{f}\Big)$ ≠ $\Big(\dfrac{a}{b} + \dfrac{c}{d}\Big) + \dfrac{e}{f}$

4. $\dfrac{a}{b} + \Big(\dfrac{c}{d} + \dfrac{e}{f}\Big) = \Big(\dfrac{a}{b} + \dfrac{c}{d}\Big) + \dfrac{a}{b} + \dfrac{e}{f}$

The sum of two rational numbers is -6. If one of them is $4\dfrac{1}{2}$, the other number is:

1. $2\dfrac{1}{2}$

2. $1\dfrac{1}{2}$

3. -$1\dfrac{1}{2}$

4. -$10\dfrac{1}{2}$