Bài 1.7 trang 13 SGK Toán 7 tập 1 Kết nối tri thức với cuộc sống

a) \(\frac{{ - 6}}{{18}} + \frac{{18}}{{27}} = \frac{{ - 6.3}}{{54}} + \frac{{18.2}}{{54}} = \frac{{ - 18}}{{54}} + \frac{{36}}{{54}} = \frac{{ - 18 + 36}}{{54}} = \frac{{18}}{{54}} = \frac{1}{3}\)

b) \(2,5 - \left( { - \frac{6}{9}} \right)\)

\(= \frac{5}{2} + \frac{6}{9} = \frac{{5.9}}{{18}} + \frac{{6.2}}{{18}} = \frac{{45}}{{18}} + \frac{{12}}{{18}}\)

\(= \frac{{45 + 12}}{{18}} = \frac{{57}}{{18}} = \frac{{19}}{6}\)

c) -0,32 . (-0,875)

\(= \frac{{ - 32}}{{100}}.\left( {\frac{{ - 875}}{{1000}}} \right)\)

\(= \frac{{ - 8}}{{25}}.\left( {\frac{{ - 7}}{8}} \right) = \frac{{ 7}}{{25}}\)

d) \(\left( { - 5} \right):2\frac{1}{5} = \left( { - 5} \right):\frac{{11}}{5} = \left( { - 5} \right).\frac{5}{{11}} = \frac{{ - 25}}{{11}}\)

\(\begin{array}{l}a)\frac{{ - 6}}{{18}} + \frac{{18}}{{27}}\\ = \frac{{ - 1}}{3} + \frac{2}{3}\\ = \frac{1}{3}\\b)2,5 - ( - \frac{6}{9})\\ = \frac{{25}}{{10}} + \frac{6}{9}\\ = \frac{5}{2} + \frac{2}{3}\\ = \frac{{15}}{6} + \frac{4}{6}\\ = \frac{{19}}{6}\\c) - 0,32.( - 0,875)\\ = \frac{{ - 32}}{{100}}.( - \frac{{875}}{{1000}})\\ = \frac{{ - 8}}{{25}}.(\frac{{ - 7}}{8})\\ = \frac{8}{{25}}.\frac{7}{8}\\ = \frac{7}{{25}}\\d)( - 5):2\frac{1}{5}\\ = ( - 5):\frac{{11}}{5}\\ = ( - 5).\frac{5}{{11}}\\ = \frac{{ - 25}}{{11}}\end{array}\)

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