Jawaban:
1) operasi hitung yg nilainya 1
[tex] \frac{2}{5} \div \frac{4}{10} = \frac{2}{5} \times \frac{10}{4} \\ = \frac{20}{20} \\ = 1 [/tex]
[tex] \frac{1}{5} \div 5 = \frac{1}{5} \div \frac{5}{1} \\ = \frac{1}{5} \times \frac{1}{5} \\ = \frac{1}{10} [/tex]
[tex]10 \div \frac{1}{10} = \frac{10}{1} \div \frac{1}{10} \\ = \frac{10}{1} \times \frac{10}{1} \\ = \frac{100}{1} \\ = 100[/tex]
[tex] \frac{1}{8} \div \frac{3}{24} \\ = \frac{1}{8} \times \frac{24}{3} \\ = \frac{24}{24} \\ = 1[/tex]
2. operasi hitung yg nilainya sama
[tex] \frac{5}{2} \div \frac{1}{2} \\ = \frac{5}{2} \times \frac{2}{1} \\ = \frac{10}{2} \\ = \frac{5}{1} \\ = 5 [/tex]
[tex] \frac{3}{2} \div \frac{3}{10} \\ = \frac{3}{2} \times \frac{10}{3} \\ = \frac{30}{6} \\ = \frac{5}{1} \\ = 5[/tex]
[tex] \frac{2}{5} \div \frac{1}{10} \\ = \frac{2}{5} \times \frac{10}{1} \\ = \frac{20}{5} \\ = \frac{4}{1} \\ = 4[/tex]
[tex] \frac{5}{10} \div \frac{1}{20} \\ = \frac{5}{10} \times \frac{20}{1} \\ = \frac{100}{10} \\ = \frac{10}{1} \\ = 10[/tex]
[tex]3)5 \frac{1}{10} \div 5 \\ = \frac{51}{10} \div \frac{5}{1} \\ = \frac{51}{10} \times \frac{1}{5} \\ = \frac{51}{50} 1 \frac{1}{50} [/tex]
[tex]4) \frac{7}{25} \div \frac{14}{75} \\ = \frac{7}{25} \times \frac{75}{14} \\ = \frac{525}{350} \\ = \frac{21}{14} \\ = \frac{3}{2} \\ = 1 \frac{1}{2} [/tex]
[tex]5) \frac{4}{5} \div \frac{1}{4} \div \frac{1}{3} \\ = \frac{4}{5} \times \frac{4}{1} \times \frac{3}{1} \\ = \frac{48}{5} \\ = 9 \frac{3}{5} [/tex]
[tex]6) \frac{5}{9} \div \frac{15}{18} \div \frac{20}{36} \\ = \frac{5}{9} \times \frac{18}{15} \times \frac{36}{20} \\ = \frac{3.240}{2.700} \\ = \frac{162}{135} \\ = \frac{18}{15} \\ = \frac{6}{5} \\ = 1 \frac{1}{5} [/tex]
[tex]7)100\% \div 4\% \div 5\% \\ = \frac{100}{100} \div \frac{4}{100} \div \frac{5}{100} \\ = \frac{100}{100} \times \frac{100}{4} \times \frac{100}{5} \\ = \frac{1.000.000}{2.000} \\ = 500\%[/tex]
[tex]8)0,65 \div 1,3 \\ = \frac{65}{100} \div \frac{13}{10} \\ = \frac{65}{100} \times \frac{10}{13} \\ = \frac{650}{1.300} \\ = \frac{65}{130} \\ = \frac{13}{26} \\ = \frac{1}{2} \\ = 0,5[/tex]
[tex]9)25\% \div \frac{1}{2} \div 0,2 \\ = \frac{25}{100} \div \frac{1}{2} \div \frac{2}{10} \\ = \frac{25}{100} \times \frac{2}{1} \times \frac{10}{2} \\ = \frac{500}{200} \\ = \frac{5}{2} \\ = 2,5[/tex]
[tex]10)0,5 \div 5 \div 10 \\ = \frac{5}{10} \div \frac{5}{1} \div \frac{10}{1} \\ = \frac{5}{10} \times \frac{1}{5} \times \frac{1}{10} \\ = \frac{5}{500} \\ = \frac{1}{100} atau \: 0,01[/tex]