Question

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Answer 1

$a)3 \times \frac{1}{4} = \frac{3 \times 1}{1 \times 4} = \frac{3}{4}$

$b)15 \times \frac{3}{5} = \frac{15 \times 3}{1 \times 5} = \frac{45}{5} ^{(5} = \frac{9}{1} = 9$

$c)12 \times \frac{5}{4} = \frac{12 \times 5}{1 \times 4} = \frac{60}{4} ^{(4} = \frac{15}{1} = 15$

$d)30 \times \frac{4}{25} = \frac{30 \times 4}{1 \times 25} = \frac{120}{25} ^{(5} = \frac{24}{5} = 4 \frac{4}{5}$

$e)7 \times 2 \frac{1}{4} = \\ \\ 2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \\ \\ 7 \times \frac{9}{4} = \frac{7 \times 9}{1 \times 4} = \frac{63}{4} = 15 \frac{3}{4}$

$f)6 \frac{2}{3} \times 9 = \\ \\ 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \\ \\ \frac{20}{3} \times 9 = \frac{20 \times 9}{3 \times 1} = \frac{180}{3} ^{(3} = \frac{60}{1} = 60$

$g) \frac{12}{5} \times \frac{1}{18} = \frac{12 \times 1}{5 \times 18} = \frac{12}{90} ^{(6} = \frac{2}{15}$

$h) \frac{2}{9} \times \frac{3}{10} = \frac{2 \times 3}{9 \times 10} = \frac{6}{90} ^{(6} = \frac{1}{15}$

$i) \frac{11}{45} \times \frac{25}{22} = \frac{11 \times 25}{45 \times 22} = \frac{275}{990} ^{(55} = \frac{5}{18}$

$j) \frac{13}{14} \times \frac{49}{26} = \frac{13 \times 49}{14 \times 26} = \frac{637}{364} ^{(91} = \frac{7}{4}$

$k)3 \times \frac{2}{7} \times 2 \frac{1}{3} = \\ \\ 3 \times \frac{2}{7} = \frac{3 \times 2}{1 \times 7} = \frac{6}{7} \\ \\ 2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \\ \\ \frac{6}{7} \times \frac{7}{3} = \frac{6 \times 7}{7 \times 3} = \frac{42}{21} ^{(21} = \frac{2}{1} = 2$

$l)3 \times \frac{2}{3} \times 2 \frac{1}{2} \times 6 = \\ \\ 3 \times \frac{2}{3} = \frac{3 \times 2}{1 \times 3} = \frac{6}{3} ^{(3} = \frac{2}{1} = 2 \\ \\ 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2} \\ \\ 2 \times \frac{5}{2} = \frac{2 \times 5}{1 \times 2} = \frac{10}{2} ^{(2} = \frac{5}{1} = 5 \\ \\ 5 \times 6 = 30$