Question

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1. $-\frac{5}{3} = -2p$ 22. $1 = \frac{n}{2}$ 23. $-8x = 2\frac{1}{9}$ 24. $-2m = \frac{15}{2}$

Explanation:

Step1: Solve for $p$ (Q21)

First convert mixed number to improper fraction: $-5\frac{1}{3}=-\frac{16}{3}$.
$$-\frac{16}{3}=-2p$$
Divide both sides by $-2$:
$$p=\frac{-\frac{16}{3}}{-2}=\frac{16}{6}=\frac{8}{3}=2\frac{2}{3}$$

Step2: Solve for $n$ (Q22)

Multiply both sides by 2:
$$1\times2=\frac{n}{2}\times2$$
$$n=2$$

Step3: Solve for $x$ (Q23)

Convert mixed number to improper fraction: $2\frac{1}{9}=\frac{19}{9}$.
$$-8x=\frac{19}{9}$$
Divide both sides by $-8$:
$$x=\frac{19}{9}\div(-8)=-\frac{19}{72}$$

Step4: Solve for $m$ (Q24)

Divide both sides by $-2$:
$$m=\frac{\frac{15}{2}}{-2}=-\frac{15}{4}=-3\frac{3}{4}$$

Answer:

1. $p=\frac{8}{3}$ or $2\frac{2}{3}$
2. $n=2$
3. $x=-\frac{19}{72}$
4. $m=-\frac{15}{4}$ or $-3\frac{3}{4}$