Question

Đã trả lời bởi chuyên gia

Answer 1

a) (-1/2 ) - ( -3/5 ) + (-1/9 ) + 1/71 - ( -2/7 ) + 4/35 - 7/18
=-1/2+3/5-1/9+1/71+2/7+4/35-7/18

=(-1/2-1/9-7/18)+(3/5+2/7+4/35)+1/71

=(-9/18-2/18-7/18)+(21/35+10/35+4/35)+1/71

=-18/18+35/35+1/71

=-1+1+1/71=1/71

b) ( 3-1/4 + 2/3 ) - ( 5 - 1/3 - 6/5 ) - ( 6-7/4 + 3/2 )
= 3-1/4+2/3-5+1/3+6/5-6+7/4-3/2

=(-1/4+7/4-3/2)+(2/3+1/3)+(3-5-6)+6/5

=0+1-8+6/5=6/5-7=-29/5

Answer 2

\(\begin{array}{l}
a)(\frac{{ - 1}}{2}) - (\frac{{ - 3}}{5}) + (\frac{{ - 1}}{9}) + \frac{1}{{71}} - (\frac{{ - 2}}{7}) + \frac{4}{{35}} - \frac{7}{{18}}\\
= \frac{{ - 1}}{2} + \frac{3}{5} - \frac{1}{9} + \frac{1}{{71}} + \frac{2}{7} + \frac{4}{{35}} - \frac{7}{{18}}\\
= ( - \frac{1}{2} - \frac{1}{9} - \frac{7}{{18}}) + (\frac{3}{5} + \frac{2}{7} + \frac{4}{{35}}) + \frac{1}{{71}}\\
= (\frac{{ - 9}}{{18}} - \frac{2}{{18}} - \frac{7}{{18}}) + (\frac{{21}}{{35}} + \frac{{10}}{{35}} + \frac{4}{{35}}) + \frac{1}{{71}}\\
= \frac{{ - 9 - 2 - 7}}{{18}} + \frac{{21 + 10 + 4}}{{35}} + \frac{1}{{71}}\\
= - \frac{{18}}{{18}} + \frac{{35}}{{35}} + \frac{1}{{71}}\\
= - 1 + 1 + \frac{1}{{71}}\\
= \frac{1}{{71}}\\
b)(3 - \frac{1}{4} + \frac{2}{3}) - (5 - \frac{1}{3} - \frac{6}{5}) - (6 - \frac{7}{4} + \frac{3}{2})\\
= 3 - \frac{1}{4} + \frac{2}{3} - 5 + \frac{1}{3} + \frac{6}{5} - 6 + \frac{7}{4} - \frac{3}{2}\\
= (3 - 5 - 6) + ( - \frac{1}{4} + \frac{7}{4} - \frac{3}{2}) + (\frac{2}{3} + \frac{1}{3}) + \frac{6}{5}\\
= - 8 + (\frac{{ - 1}}{4} + \frac{7}{4} - \frac{6}{4}) + \frac{3}{3} + \frac{6}{5}\\
= - 8 + \frac{{ - 1 + 7 - 6}}{4} + 1 + \frac{6}{5}\\
= - 8 + 0 + 1 + \frac{6}{5}\\
= - 7 + \frac{6}{5}\\
= \frac{{ - 35}}{5} + \frac{6}{5}\\
= \frac{{ - 29}}{5}
\end{array}\)

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Answer 3

\(\begin{array}{l}
a)(\frac{{ - 1}}{2}) - (\frac{{ - 3}}{5}) + (\frac{{ - 1}}{9}) + \frac{1}{{71}} - (\frac{{ - 2}}{7}) + \frac{4}{{35}} - \frac{7}{{18}}\\
= \frac{{ - 1}}{2} + \frac{3}{5} - \frac{1}{9} + \frac{1}{{71}} + \frac{2}{7} + \frac{4}{{35}} - \frac{7}{{18}}\\
= ( - \frac{1}{2} - \frac{1}{9} - \frac{7}{{18}}) + (\frac{3}{5} + \frac{2}{7} + \frac{4}{{35}}) + \frac{1}{{71}}\\
= (\frac{{ - 9}}{{18}} - \frac{2}{{18}} - \frac{7}{{18}}) + (\frac{{21}}{{35}} + \frac{{10}}{{35}} + \frac{4}{{35}}) + \frac{1}{{71}}\\
= \frac{{ - 9 - 2 - 7}}{{18}} + \frac{{21 + 10 + 4}}{{35}} + \frac{1}{{71}}\\
= - \frac{{18}}{{18}} + \frac{{35}}{{35}} + \frac{1}{{71}}\\
= - 1 + 1 + \frac{1}{{71}}\\
= \frac{1}{{71}}\\
b)(3 - \frac{1}{4} + \frac{2}{3}) - (5 - \frac{1}{3} - \frac{6}{5}) - (6 - \frac{7}{4} + \frac{3}{2})\\
= 3 - \frac{1}{4} + \frac{2}{3} - 5 + \frac{1}{3} + \frac{6}{5} - 6 + \frac{7}{4} - \frac{3}{2}\\
= (3 - 5 - 6) + ( - \frac{1}{4} + \frac{7}{4} - \frac{3}{2}) + (\frac{2}{3} + \frac{1}{3}) + \frac{6}{5}\\
= - 8 + (\frac{{ - 1}}{4} + \frac{7}{4} - \frac{6}{4}) + \frac{3}{3} + \frac{6}{5}\\
= - 8 + \frac{{ - 1 + 7 - 6}}{4} + 1 + \frac{6}{5}\\
= - 8 + 0 + 1 + \frac{6}{5}\\
= - 7 + \frac{6}{5}\\
= \frac{{ - 35}}{5} + \frac{6}{5}\\
= \frac{{ - 29}}{5}
\end{array}\)

Answer 4

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