-7/6:(-14/-3)
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(\frac{15}{14}\left(\frac{14}{9}-\frac{3}{7}\right)-\frac{15}{14}\left(\frac{14}{6}-\frac{3}{7}\right)\)
\(=\frac{15}{14}\left[\left(\frac{14}{9}-\frac{3}{7}\right)-\left(\frac{14}{6}-\frac{3}{7}\right)\right]\)
\(=\frac{15}{14}\left(\frac{14}{9}-\frac{3}{7}-\frac{14}{6}+\frac{3}{7}\right)\)
\(=\frac{15}{14}\left(\frac{14}{9}-\frac{14}{6}\right)\)
\(=\frac{15}{14}\cdot\left(\frac{28}{18}-\frac{42}{18}\right)\)
\(=\frac{15}{14}\cdot\frac{-14}{18}\)
\(=\frac{-15}{18}=-\frac{5}{6}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
7 x 2 = 14 7 x 4 = 28 7 x 6 = 42 7 x 3 = 21
2 x 7 = 14 4 x 7 = 28 6 x 7 = 42 3 x 7 = 21
14 : 7 = 2 28 : 7 = 4 42 : 7 = 6 21 : 7 = 3
14 : 2 = 7 28 : 4 = 7 42 : 6 = 7 21 : 3 = 7
![](https://rs.olm.vn/images/avt/0.png?1311)
14\(\dfrac{6}{7}\) : \(\left(\dfrac{4}{3}-\dfrac{5}{7}\right)\) + \(14\dfrac{6}{7}\) : \(\left(\dfrac{2}{3}-\dfrac{2}{7}\right)\)
= 14\(\dfrac{6}{7}\) : \(\dfrac{13}{21}\) + 14\(\dfrac{6}{7}\) : \(\dfrac{8}{21}\)
= 14\(\dfrac{6}{7}\) :\(\left(\dfrac{13}{21}+\dfrac{8}{21}\right)\)
= 14\(\dfrac{6}{7}\) : 1
= \(\dfrac{104}{7}\)
\(14\dfrac{6}{7}:\left(\dfrac{4}{3}-\dfrac{5}{7}\right)+14\dfrac{6}{7}:\left(\dfrac{2}{3}-\dfrac{2}{7}\right)\)
=\(14\dfrac{6}{7}:\left(\dfrac{13}{21}\right)+14\dfrac{6}{7}:\left(\dfrac{8}{21}\right)\)
=\(14\dfrac{6}{7}:\left(\dfrac{13}{21}+\dfrac{8}{21}\right)\)
=\(14\dfrac{6}{7}:1\)
=\(14\dfrac{6}{7}=\dfrac{104}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2\(\dfrac{5}{7}\) + \(\dfrac{3}{14}\) - \(\dfrac{6}{7}\) + 0,5 + \(\dfrac{9}{14}\)
= 2 + \(\dfrac{5}{7}\) + (\(\dfrac{3}{14}\) + \(\dfrac{9}{14}\)) - \(\dfrac{6}{7}\) + 0,5
= ( 2 + \(\dfrac{1}{2}\)) + ( \(\dfrac{5}{7}\) - \(\dfrac{6}{7}\) ) + \(\dfrac{12}{14}\)
= \(\dfrac{5}{2}\) - \(\dfrac{1}{7}\) + \(\dfrac{6}{7}\)
= \(\dfrac{5}{2}\)+ \(\dfrac{5}{7}\)
= \(\dfrac{35}{14}\) + \(\dfrac{10}{14}\)
= \(\dfrac{45}{14}\)
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