Explications étape par étape:
[tex]a = \frac{16}{36} = \frac{4 \times 4}{4 \times 9} = \frac{4}{9} \\ b = \frac{4}{4} = 1 \\ c = \frac{6}{8} - \frac{20}{8} + \frac{7}{8} = - \frac{7}{8} \\ [/tex]
[tex]d = \frac{3 \times 2}{5} - \frac{3}{10} = \frac{6}{5} - \frac{3}{10} = \frac{12}{10} - \frac{3}{10} = \frac{9}{10} [/tex]
[tex]e = 3 \div \frac{2}{5} = 3 \times \frac{5}{2} = \frac{15}{2} [/tex]
[tex]f = 5 \div \frac{6}{10} = 5 \times \frac{10}{6} = \frac{50}{6} = \frac{25}{3} [/tex]
[tex]g = \frac{4}{11} \div \frac{2}{33} = \frac{4}{11} \times \frac{33}{2} = \frac{2 \times 2 \times 11 \times 3}{11 \times 2} = 6[/tex]
[tex]h = 1 - \frac{1}{ \frac{4}{2} - \frac{1}{2} } = 1 - \frac{1}{ \frac{3}{2} } = 1 - 1 \div \frac{3}{2} = 1 - 1 \times \frac{2}{3} = 1 - \frac{2}{3} = \frac{3}{3} - \frac{2}{3} = \frac{1}{3} [/tex]
[tex]i = \frac{3}{2} - \frac{2 \times 5}{3 \times 4} = \frac{3}{2} - \frac{5}{6} = \frac{9}{6} - \frac{5}{6} = \frac{4}{6} [/tex]
