Soalan 1:
Banding dan susun pecahan yang berikut mengikut tertib menaik.
$$ \text { (a) }-\frac{5}{6},-\frac{1}{4}, \frac{3}{8},-\frac{5}{12}, \frac{7}{24} $$
$$ \text { (b) } \frac{1}{3},-\frac{5}{6}, \frac{5}{8},-\frac{2}{3},-\frac{13}{18},-\frac{15}{24} $$
Penyelesaian:
(a)
$$ \begin{aligned} & -\frac{5}{6}, \quad-\frac{1}{4}, \quad \frac{3}{8}, \quad-\frac{5}{12}, \quad \frac{7}{24} \\ = & -\frac{20}{24}, \quad-\frac{6}{24}, \quad \frac{9}{24}, \quad-\frac{10}{24}, \quad \frac{7}{24} \end{aligned} $$
$$
\text { Pecahan mengikut tertib menaik }=-\frac{5}{6}, \quad-\frac{5}{12}, \quad-\frac{1}{4}, \quad \frac{7}{24}, \quad \frac{3}{8}
$$
(b)
$$ \frac{1}{3}, \quad-\frac{5}{6}, \quad \frac{5}{8}, \quad-\frac{2}{3}, \quad-\frac{13}{18}, \quad-\frac{15}{24} $$
$$ =\frac{1 \times 24}{3 \times 24}, \quad-\frac{5 \times 12}{6 \times 12}, \quad \frac{5 \times 9}{8 \times 9}, \quad-\frac{2 \times 24}{3 \times 24}, \quad-\frac{13 \times 4}{18 \times 4}, \quad-\frac{15 \times 3}{24 \times 3} $$
$$ =\frac{24}{72}, \quad-\frac{60}{72}, \quad \frac{45}{72}, \quad-\frac{48}{72}, \quad-\frac{52}{72}, \quad-\frac{45}{72} $$
$$ \text { Pecahan mengikut tertib menaik }=-\frac{5}{6},-\frac{13}{18},-\frac{2}{3},-\frac{15}{24}, \frac{1}{3}, \frac{5}{8} $$
Banding dan susun pecahan yang berikut mengikut tertib menaik.
$$ \text { (a) }-\frac{5}{6},-\frac{1}{4}, \frac{3}{8},-\frac{5}{12}, \frac{7}{24} $$
$$ \text { (b) } \frac{1}{3},-\frac{5}{6}, \frac{5}{8},-\frac{2}{3},-\frac{13}{18},-\frac{15}{24} $$
Penyelesaian:
(a)
$$ \begin{aligned} & -\frac{5}{6}, \quad-\frac{1}{4}, \quad \frac{3}{8}, \quad-\frac{5}{12}, \quad \frac{7}{24} \\ = & -\frac{20}{24}, \quad-\frac{6}{24}, \quad \frac{9}{24}, \quad-\frac{10}{24}, \quad \frac{7}{24} \end{aligned} $$
$$
\text { Pecahan mengikut tertib menaik }=-\frac{5}{6}, \quad-\frac{5}{12}, \quad-\frac{1}{4}, \quad \frac{7}{24}, \quad \frac{3}{8}
$$(b)
$$ \frac{1}{3}, \quad-\frac{5}{6}, \quad \frac{5}{8}, \quad-\frac{2}{3}, \quad-\frac{13}{18}, \quad-\frac{15}{24} $$
$$ =\frac{1 \times 24}{3 \times 24}, \quad-\frac{5 \times 12}{6 \times 12}, \quad \frac{5 \times 9}{8 \times 9}, \quad-\frac{2 \times 24}{3 \times 24}, \quad-\frac{13 \times 4}{18 \times 4}, \quad-\frac{15 \times 3}{24 \times 3} $$
$$ =\frac{24}{72}, \quad-\frac{60}{72}, \quad \frac{45}{72}, \quad-\frac{48}{72}, \quad-\frac{52}{72}, \quad-\frac{45}{72} $$
$$ \text { Pecahan mengikut tertib menaik }=-\frac{5}{6},-\frac{13}{18},-\frac{2}{3},-\frac{15}{24}, \frac{1}{3}, \frac{5}{8} $$
Soalan 2:
Banding dan susun pecahan yang berikut mengikut tertib menurun.
$$ \text { (a) } \frac{3}{5},-\frac{7}{20},-\frac{5}{12},-\frac{1}{8}, \frac{5}{6} $$
$$ \text { (b) }-\frac{1}{2}, \frac{2}{9},-\frac{5}{9},-\frac{7}{12},-\frac{7}{18}, \frac{11}{18} $$
Penyelesaian:
(a)
$$ \frac{3}{5}, \quad-\frac{7}{20}, \quad-\frac{5}{12}, \quad-\frac{1}{8}, \quad \frac{5}{6} $$
$$ =\frac{3 \times 24}{5 \times 24}, \quad-\frac{7 \times 6}{20 \times 6}, \quad-\frac{5 \times 10}{12 \times 10}, \quad-\frac{1 \times 15}{8 \times 15}, \quad \frac{5 \times 20}{6 \times 20} $$
$$ =\frac{72}{120}, \quad-\frac{42}{120}, \quad-\frac{50}{120}, \quad-\frac{15}{120}, \quad \frac{100}{120} $$
$$ \text { Pecahan mengikut tertib menurun }=\frac{5}{6}, \frac{3}{5},-\frac{1}{8},-\frac{7}{20},-\frac{5}{12} $$
(b)
$$ -\frac{1}{2}, \quad \frac{2}{9}, \quad-\frac{5}{9}, \quad-\frac{7}{12}, \quad-\frac{7}{18}, \quad \frac{11}{18} $$
$$ =-\frac{1 \times 18}{2 \times 18}, \quad \frac{2 \times 4}{9 \times 4}, \quad-\frac{5 \times 4}{9 \times 4}, \quad-\frac{7 \times 3}{12 \times 3}, \quad-\frac{7 \times 2}{18 \times 2}, \quad \frac{11 \times 2}{18 \times 2} $$
$$ =-\frac{18}{36}, \quad \frac{8}{36}, \quad-\frac{20}{36}, \quad-\frac{21}{36}, \quad-\frac{14}{36}, \quad \frac{22}{36} $$
$$ \text { Pecahan mengikut tertib menurun }=\frac{11}{18}, \frac{2}{9},-\frac{7}{18},-\frac{1}{2},-\frac{5}{9},-\frac{7}{12} $$
Banding dan susun pecahan yang berikut mengikut tertib menurun.
$$ \text { (a) } \frac{3}{5},-\frac{7}{20},-\frac{5}{12},-\frac{1}{8}, \frac{5}{6} $$
$$ \text { (b) }-\frac{1}{2}, \frac{2}{9},-\frac{5}{9},-\frac{7}{12},-\frac{7}{18}, \frac{11}{18} $$
Penyelesaian:
(a)
$$ \frac{3}{5}, \quad-\frac{7}{20}, \quad-\frac{5}{12}, \quad-\frac{1}{8}, \quad \frac{5}{6} $$
$$ =\frac{3 \times 24}{5 \times 24}, \quad-\frac{7 \times 6}{20 \times 6}, \quad-\frac{5 \times 10}{12 \times 10}, \quad-\frac{1 \times 15}{8 \times 15}, \quad \frac{5 \times 20}{6 \times 20} $$
$$ =\frac{72}{120}, \quad-\frac{42}{120}, \quad-\frac{50}{120}, \quad-\frac{15}{120}, \quad \frac{100}{120} $$
$$ \text { Pecahan mengikut tertib menurun }=\frac{5}{6}, \frac{3}{5},-\frac{1}{8},-\frac{7}{20},-\frac{5}{12} $$
(b)
$$ -\frac{1}{2}, \quad \frac{2}{9}, \quad-\frac{5}{9}, \quad-\frac{7}{12}, \quad-\frac{7}{18}, \quad \frac{11}{18} $$
$$ =-\frac{1 \times 18}{2 \times 18}, \quad \frac{2 \times 4}{9 \times 4}, \quad-\frac{5 \times 4}{9 \times 4}, \quad-\frac{7 \times 3}{12 \times 3}, \quad-\frac{7 \times 2}{18 \times 2}, \quad \frac{11 \times 2}{18 \times 2} $$
$$ =-\frac{18}{36}, \quad \frac{8}{36}, \quad-\frac{20}{36}, \quad-\frac{21}{36}, \quad-\frac{14}{36}, \quad \frac{22}{36} $$
$$ \text { Pecahan mengikut tertib menurun }=\frac{11}{18}, \frac{2}{9},-\frac{7}{18},-\frac{1}{2},-\frac{5}{9},-\frac{7}{12} $$