Workout: (12.8 x 0.75) / 0.32. Simplify: 5 1/4 - 5 1/2 ÷ 4 2/5.

$$\frac{9.6}{0.32}$$

Ili kurahisisha, zidisha kiasi na kigawo kwa 100 ili kuondoa desimali.

$$\frac{9.6 \times 100}{0.32 \times 100} = \frac{960}{32}$$

$$\frac{960}{32} = 30$$

Jibu: $\boxed{\text{30}}$

22. (b) Simplify: $5\frac{1}{4} - 5\frac{1}{2} \div 4\frac{2}{5}$

$$5\frac{1}{4} = \frac{(5 \times 4) + 1}{4} = \frac{21}{4}$$ $$5\frac{1}{2} = \frac{(5 \times 2) + 1}{2} = \frac{11}{2}$$ $$4\frac{2}{5} = \frac{(4 \times 5) + 2}{5} = \frac{22}{5}$$

Usemi unakuwa: $\frac{21}{4} - \frac{11}{2} \div \frac{22}{5}$

$$\frac{11}{2} \div \frac{22}{5} = \frac{11}{2} \times \frac{5}{22}$$ $$\frac{11 \times 5}{2 \times 22} = \frac{55}{44}$$

Rahisisha sehemu kwa kugawanya kiasi na kigawo kwa 11.

$$\frac{55 \div 11}{44 \div 11} = \frac{5}{4}$$

$$\frac{21}{4} - \frac{5}{4} = \frac{21 - 5}{4}$$ $$\frac{16}{4} = 4$$

Jibu: $\boxed{\text{4}}$

23. Kimeny's plot is shaped as shown below with corners A and D.
Swali hili halijakamilika. Picha inaonyesha umbo la trapezi (trapezium) na vipimo vya pande mbili sambamba (80m na 140m). Hata hivyo, urefu wa AD (ambao ni urefu wa trapezi) haujatolewa, na hakuna swali lililoulizwa (kama vile kutafuta eneo au mzingo). Tafadhali toa swali kamili na urefu wa AD ili niweze kukusaidia.