Question

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Answer 1

a,

$\frac{3}{5} - \frac{1}{4} = \frac{1}{10} x - \frac{1}{2} \frac{1}{10} x = \frac{3}{5} - \frac{1}{4} + \frac{1}{2} \frac{1}{10} x = \frac{12}{20} - \frac{5}{20} + \frac{10}{20} \frac{1}{10} x = \frac{17}{20} x = \frac{17 \times 10}{20} x = \frac{17}{2} b, 1 \frac{8}{35} - 1 \frac{1}{5} x = \frac{3}{7} \frac{43}{35} - \frac{6}{5} x = \frac{3}{7} \frac{6}{5} x = \frac{43}{35} - \frac{3}{7} \frac{6}{5} x = \frac{43}{35} - \frac{15}{35} \frac{6}{5} x = \frac{28}{35} x = \frac{28 \times 5}{6 \times 35} x = \frac{2 \times 2 \times 7 \times 5}{2 \times 3 \times 5 \times 7} x = \frac{2}{3} c, 2 x - \frac{2}{3} - 7 x = \frac{3}{2} - 1 - 5 x = \frac{3}{2} - 1 + \frac{2}{3} - 5 x = \frac{9}{6} - \frac{6}{6} + \frac{4}{6} - 5 x = \frac{7}{6} x = \frac{7}{- 5 \times 6} x = \frac{- 7}{30} d, 2 \frac{2}{3} - \frac{5}{3} x = \frac{7}{10} x + \frac{5}{6} \frac{8}{3} - \frac{5}{6} = \frac{7}{10} x + \frac{5}{3} x \frac{16}{6} - \frac{5}{6} = \frac{21}{30} x + \frac{50}{30} x \frac{11}{6} = \frac{71}{30} x x = \frac{11 \times 30}{6 \times 71} x = \frac{11 \times 5 \times 6}{6 \times 71} x = \frac{55}{71} e, 3 x - \frac{5}{3} = x - \frac{1}{4} 3 x - x = \frac{5}{3} - \frac{1}{4} 2 x = \frac{20}{12} - \frac{3}{12} 2 x = \frac{17}{12} x = \frac{17}{2 \times 12} x = \frac{17}{24}$

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Answer 2

a,

$\frac{3}{5} - \frac{1}{4} = \frac{1}{10} x - \frac{1}{2} \frac{1}{10} x = \frac{3}{5} - \frac{1}{4} + \frac{1}{2} \frac{1}{10} x = \frac{12}{20} - \frac{5}{20} + \frac{10}{20} \frac{1}{10} x = \frac{17}{20} x = \frac{17 \times 10}{20} x = \frac{17}{2} b, 1 \frac{8}{35} - 1 \frac{1}{5} x = \frac{3}{7} \frac{43}{35} - \frac{6}{5} x = \frac{3}{7} \frac{6}{5} x = \frac{43}{35} - \frac{3}{7} \frac{6}{5} x = \frac{43}{35} - \frac{15}{35} \frac{6}{5} x = \frac{28}{35} x = \frac{28 \times 5}{6 \times 35} x = \frac{2 \times 2 \times 7 \times 5}{2 \times 3 \times 5 \times 7} x = \frac{2}{3} c, 2 x - \frac{2}{3} - 7 x = \frac{3}{2} - 1 - 5 x = \frac{3}{2} - 1 + \frac{2}{3} - 5 x = \frac{9}{6} - \frac{6}{6} + \frac{4}{6} - 5 x = \frac{7}{6} x = \frac{7}{- 5 \times 6} x = \frac{- 7}{30} d, 2 \frac{2}{3} - \frac{5}{3} x = \frac{7}{10} x + \frac{5}{6} \frac{8}{3} - \frac{5}{6} = \frac{7}{10} x + \frac{5}{3} x \frac{16}{6} - \frac{5}{6} = \frac{21}{30} x + \frac{50}{30} x \frac{11}{6} = \frac{71}{30} x x = \frac{11 \times 30}{6 \times 71} x = \frac{11 \times 5 \times 6}{6 \times 71} x = \frac{55}{71} e, 3 x - \frac{5}{3} = x - \frac{1}{4} 3 x - x = \frac{5}{3} - \frac{1}{4} 2 x = \frac{20}{12} - \frac{3}{12} 2 x = \frac{17}{12} x = \frac{17}{2 \times 12} x = \frac{17}{24}$

Answer 3

a.17/2

b.2/3

c.-7/30

d.55/71

e.17/24

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