Question

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Answer 1

1)

$\frac{7}{10} \times \frac{42}{3} = \frac{7 \times 42}{10 \times 3} = \frac{294}{30}$

$\frac{294}{30} \times \frac{12}{3} = \frac{294 \times 12}{30 \times 3} = \frac{3528}{90} =$

$\frac{196}{5}$

2)

$\frac{7}{10} \times \frac{6}{2} \times \frac{9}{3 } = \frac{7 \times 6}{10 \times 2} = \frac{42}{20}$

$\frac{42}{20} \times \frac{9}{3} = \frac{42 \times 9}{20 \times 3} = \frac{378}{60}$

$\frac{63}{10}$

3)

$\frac{2}{4} - \frac{1}{7} + \frac{1}{2} = \frac{7 \times 2 - 4 \times 1}{4 \times 7} = \frac{10}{16}$

$\frac{10}{16} + \frac{1}{2} = \frac{10 \times 2 + 16 \times 1}{16 \times 2} = \frac{20 + 16}{32}$

$\frac{36}{32} = \frac{9}{8}$

4)

$\frac{18}{11} \times \frac{3}{5} \times \frac{9}{3} = \frac{18 \times 3}{11 \times 5} = \frac{54}{55}$

$\frac{54}{55} \times \frac{9}{3} = \frac{54 \times 9}{55 \times 3} = \frac{486}{165}$

$\frac{486}{165} = \frac{162}{55}$

5)

$\frac{42}{3} + \frac{12}{3} = \frac{42 \times 3 + 3 \times 12}{3 \times 3} = \frac{126 + 36}{9}$

$\frac{162}{9} = \frac{18}{1}$

6)

$\frac{18}{11} \times \frac{5}{3} = \frac{18 \times 5}{11 \times 3} = \frac{54}{55}$

7)

$\frac{42}{3} \div \frac{12}{3} = \frac{3 \times 12}{42 \times 3} = \frac{126}{36} = \frac{7}{2}$

8)

$\frac{7}{10} - \frac{6}{2} + \frac{9}{3} = \frac{2 \times 7 - 10 \times 6}{10 + 2} = \frac{14 - 60}{20}$

$\frac{ - 46}{20} + \frac{9}{3} = \frac{ - 46 \times 3 + 20 \times 9}{20 \times 3} = \frac{ - 138 + 180}{60}$

$\frac{42}{60} = \frac{7}{10}$

9)

$\frac{8}{5} - \frac{6}{2} + \frac{12}{3} = \frac{2 \times 8 + 5 \times 6}{5 \times 2} = \frac{16 - 30}{10}$

$\frac{ - 14}{10} + \frac{12}{3} = \frac{ - 42 + 120}{30} = \frac{78}{30} = \frac{15}{5}$