Question

759. 1) 1 4 1 2 + 2 1 3 2 1 2 + 4 3 ; 2) 3 5 7 - 1 3 - 2 + 15 3 2 9 4 5 ; 3) 4 15 1 12 2 1 6 1 3 + 12 4 5 4) 3 1 5 + + 4 6 2 1 8 8 1 + 2 3 - 759. 1 ) 1 4 1 2 + 2 1 3 2 1 2 + 4 3 ; 2 ) 3 5 7 - 1 3 - 2 + 15 3 2 9 4 5 ; 3 ) 4 15 1 12 2 1 6 1 3 + 12 4 5 4 ) 3 1 5 + + 4 6 2 1 8 8 1 + 2 3 -​

Answer 1

1)

$\frac{ \frac{1}{4} + \frac{2}{3} - \frac{1}{2} }{ \frac{1}{2} - \frac{1}{4} + \frac{2}{3} } = \frac{ \frac{3 + 8 - 6}{12} }{ \frac{6 - 3 + 8}{12} } = \frac{ \frac{5}{12} }{ \frac{11}{12} } = \frac{5}{12} \times \frac{12}{11} = \frac{5}{11}$

2)

$\frac{ \frac{3}{5} - \frac{1}{3} - \frac{2}{9} }{ \frac{7}{15} + \frac{2}{3} - \frac{4}{5} } = \frac{ \frac{27 - 15 - 10}{45} }{ \frac{7 + 10 - 12}{15} } = \frac{2}{45} \times \frac{15}{5} = \frac{2}{45} \times 3 = \frac{2}{15}$

3)

$\frac{ \frac{4}{15} - \frac{1}{6} - \frac{1}{12} }{ \frac{1}{12} + \frac{3}{4} - \frac{2}{5} } = \frac{ \frac{16 - 10 - 5}{60} }{ \frac{5 + 45 - 24}{60} } = \frac{1}{60} \times \frac{60}{26} = \frac{1}{26}$

4)

$\frac{ \frac{3}{8} + \frac{1}{4} + \frac{5}{6} }{ \frac{1}{2} + \frac{2}{3} - \frac{1}{8} } = \frac{ \frac{9 + 6 + 20}{24} }{ \frac{12 + 16 - 3}{24} } = \frac{35}{24} \times \frac{24}{25} = \frac{7}{5} = 1 \frac{2}{5}$