Latih Diri 4.1c – Buku Teks Matematik Tingkatan 1 Bab 4 (Nisbah, Kadar dan Kadaran)

Soalan 1:
Ungkapkan setiap nisbah yang berikut dalam bentuk termudah.
(a) 240 g : 1. 6 kg
(b) 30 : 42 : 48
(c) 2/5 : 8/9
(d) 0.09 : 0.12 : 0.24

Penyelesaian:
(a)
\begin{aligned} 240 \mathrm{~g}: 1.6 \mathrm{~kg} & =240 \mathrm{~g}: 1600 \mathrm{~g} \\ & =\frac{240}{80}: \frac{1600}{80} \\ & =3: 20 \end{aligned} $$

$$ \begin{aligned} \text { FSTB } & =2 \times 2 \times 2 \times 2 \times 5 \\ & =80 \end{aligned} $$


(b)
$$ \begin{aligned} 30: 42: 48 & =\frac{30}{6}: \frac{42}{6}: \frac{48}{6} \\ & =5: 7: 8 \end{aligned} $$

$$ \begin{aligned} \mathrm{FSTB} & =2 \times 3 \\ & =6 \end{aligned} $$


(c)
$$ \begin{aligned} \frac{2}{5}: \frac{8}{9} & =\frac{2}{5} \times 45: \frac{8}{9} \times 45 \\ & =18: 40 \\ & =\frac{18}{2}: \frac{40}{2} \\ & =9: 20 \end{aligned} $$

$$ \begin{aligned} \text { GSTK } & =3 \times 3 \times 5 \\ & =45 \end{aligned} $$


(d)
$$ \begin{aligned} 0.09: 0.12: 0.24 & =\frac{9}{100}: \frac{12}{100}: \frac{24}{100} \\ & =\frac{9}{100} \times 100: \frac{12}{100} \times 100: \frac{24}{100} \times 100 \\ & =9: 12: 24 \\ & =\frac{9}{3}: \frac{12}{3}: \frac{24}{3} \\ & =3: 4: 8 \end{aligned} $$