Answer:
The answer for :
[tex]h. \: \: \: \frac{5}{6} [/tex]
[tex]i. \: \: \: \frac{35}{32} [/tex]
[tex]k. \: \: \: \frac{-29}{20} [/tex]
[tex]l. \: \: \: \frac{13}{15} [/tex]
Step-by-step explanation:
Question h:
[tex] \frac{2}{3} + ( \frac{1}{3} \times \frac{1}{2} )[/tex]
[tex] = \frac{2}{3} + \frac{1}{6} [/tex]
[tex] = \frac{2 \times 2}{3 \times 2} + \frac{1}{6} [/tex]
[tex] = \frac{4}{6} + \frac{1}{6} [/tex]
[tex] = \frac{5}{6} [/tex]
Question i:
[tex] \frac{7}{8} + \frac{1}{4} \times ( \frac{3}{2} - \frac{5}{8} )[/tex]
[tex] = \frac{7}{8} + \frac{1}{4} \times ( \frac{3 \times 4}{2 \times 4} - \frac{5}{8} )[/tex]
[tex] = \frac{7}{8} + \frac{1}{4} \times ( \frac{12}{8} - \frac{5}{8} )[/tex]
[tex] = \frac{7}{8} + (\frac{1}{4} \times \frac{7}{8} )[/tex]
[tex] = \frac{7}{8} + \frac{7}{32} [/tex]
[tex] = \frac{7 \times 4}{8 \times 4} + \frac{7}{32} [/tex]
[tex] = \frac{28}{32} + \frac{7}{32} [/tex]
[tex] = \frac{35}{32} [/tex]
Question k:
[tex] \frac{3}{4} - ( \frac{12}{7} \div \frac{12}{21} ) + \frac{4}{5} [/tex]
[tex] = \frac{3}{4} - ( \frac{12}{7} \times \frac{21}{12} ) + \frac{4}{5} [/tex]
[tex] = \frac{3}{4} - \frac{3}{1} + \frac{4}{5} [/tex]
[tex] = \frac{3 \times 5}{4 \times 5} - \frac{3 \times 20}{1 \times 20} + \frac{4 \times 4}{5 \times 4} [/tex]
[tex] = \frac{15}{20} - \frac{60}{20} + \frac{16}{20} [/tex]
[tex] = - \frac{29}{20} [/tex]
Question l:
[tex] \frac{5}{2} \times ( \frac{2}{3} - \frac{1}{5} ) - ( \frac{2}{5} \div \frac{4}{3} )[/tex]
[tex] = \frac{5}{2} \times ( \frac{2 \times 5}{3 \times 5} - \frac{1 \times 3}{5 \times 3} ) - ( \frac{2}{5} \times \frac{3}{4} )[/tex]
[tex] = \frac{5}{2} \times ( \frac{10}{15} - \frac{3}{15} ) - \frac{3}{10} [/tex]
[tex] = (\frac{5}{2} \times \frac{7}{15}) - \frac{3}{10} [/tex]
[tex] = \frac{7}{6} - \frac{3}{10} [/tex]
[tex] = \frac{7 \times 5}{6 \times 5} - \frac{3 \times 3}{10 \times 3} [/tex]
[tex] = \frac{35}{30} - \frac{9}{30} [/tex]
[tex] = \frac{26}{30} [/tex]
[tex] = \frac{13}{15} [/tex]
