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`1/3+ -1/4+1/5+ -1/6+1/7+1/6+1/(-5)+1/4+ -1/3`
`=(1/3-1/3)+(1/4-1/4)+(1/5-1/5)+(1/6-1/6)+1/7`
`=0+0+0+0+1/7`
`=1/7`
1: Rút gọn
a) \(-\dfrac{33}{51}=\dfrac{-33:3}{51:3}=\dfrac{-11}{17}\)
b) \(\dfrac{156}{-168}=\dfrac{-156}{168}=\dfrac{-156:12}{168:12}=\dfrac{-13}{14}\)
c) \(\dfrac{-75}{-100}=\dfrac{75}{100}=\dfrac{75:25}{100:25}=\dfrac{3}{4}\)
2: Quy đồng mẫu:
a) \(-\dfrac{3}{8}\) và \(\dfrac{5}{4}\)
MSC: 8
\(-\dfrac{3}{8}=\dfrac{-3}{8}\)
\(\dfrac{5}{4}=\dfrac{5\cdot2}{4\cdot2}=\dfrac{10}{8}\)
b) \(\dfrac{-7}{6}\) ; \(\dfrac{5}{12}\) và \(-\dfrac{5}{6}\)
MSC: 12
\(-\dfrac{7}{6}=\dfrac{-7\cdot2}{6\cdot2}=\dfrac{-14}{12}\)
\(\dfrac{5}{12}=\dfrac{5}{12}\)
\(\dfrac{-5}{6}=\dfrac{-5\cdot2}{6\cdot2}=\dfrac{-10}{12}\)
Ta có: \(\frac{-1}{9}\cdot\frac{-3}{5}-\frac56\cdot\frac{3}{-5}+\frac{-5}{2}\cdot\frac35\)
\(=\frac19\cdot\frac35+\frac56\cdot\frac35+\frac35\cdot\frac{-5}{2}\)
\(=\frac35\left(\frac19+\frac56-\frac52\right)\)
\(=\frac35\left(\frac{2}{18}+\frac{15}{18}-\frac{45}{18}\right)=\frac35\cdot\frac{2-30}{18}=\frac35\cdot\frac{-28}{18}=\frac35\cdot\frac{-14}{9}=\frac{-42}{45}=-\frac{14}{15}\)
\(\frac{1}{2}+-\frac{1}{5}+-\frac{5}{7}+\frac{1}{6}-\frac{3}{35}+\frac{1}{3}+\frac{1}{41}=\frac{1}{41}\)
\(\frac{3}{4}+\frac{-1}{3}+\frac{-5}{18}\)
\(=\frac{5}{12}+\frac{-5}{18}\)
\(=\frac{5}{36}\)
4 câu nè bn
\(\frac{3}{4}+(-\frac{1}{3})+(-\frac{5}{18})\)\(=\frac{3}{4}-\frac{1}{3}-\frac{5}{18}=\frac{27}{36}-\frac{12}{36}-\frac{10}{36}=\frac{27-12-10}{36}=\frac{5}{36}\)
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