tìm phân số bằng nhau của 5 phần 7 , 4 phần âm 9, âm 7 phần 12, 18 phần âm 54
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\(\left(-\dfrac{5}{9}\right)+\dfrac{8}{18}+\left(-\dfrac{12}{11}\right)+\left(-\dfrac{4}{9}\right)+\dfrac{7}{15}\)
\(=\left[\dfrac{4}{9}+\left(-\dfrac{4}{9}\right)\right]+\left(-\dfrac{5}{9}\right)+\left(-\dfrac{12}{11}\right)+\dfrac{7}{15}\)
\(=-\dfrac{224}{495}\)
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
\(-\dfrac{7}{6}=\dfrac{-7\cdot2}{6\cdot2}=\dfrac{-14}{12}\)
\(\dfrac{5}{12}=\dfrac{5}{12}\)
\(\dfrac{-5}{6}=\dfrac{-5\cdot2}{6\cdot2}=\dfrac{-10}{12}\)
`C=(12/35-6/7+18/14):6/(-7)-(-2)/5-1`
`C=(12/35-6/7+9/7):(-6)/7+2/5-1`
`C=(12/35+3/7):(-6)/7+2/5-1`
`C=(12/35+15/35):(-6)/7+2/5-1`
`C=27/35*(-7)/6+2/5-1`
`C=-9/10+2/5-1`
`C=-9/10+4/10-1`
`C=-1/2-1=-3/2`
Ta có: \(C=\left(\dfrac{12}{35}-\dfrac{6}{7}+\dfrac{18}{14}\right):\dfrac{6}{-7}-\dfrac{-2}{5}-1\)
\(=\left(\dfrac{24}{70}-\dfrac{60}{70}+\dfrac{90}{70}\right):\dfrac{-6}{7}-\dfrac{-2}{5}-\dfrac{5}{5}\)
\(=\dfrac{27}{35}\cdot\dfrac{-7}{6}-\dfrac{3}{5}\)
\(=\dfrac{-3}{2}\)
\(\frac{3}{4}+\frac{-1}{3}+\frac{-5}{18}\)
\(=\frac{5}{12}+\frac{-5}{18}\)
\(=\frac{5}{36}\)
-1/3 = -1x35/3x35=-35/105
2/5=2x21/5x21=42/105
4/-7=4x15/-7x15=60/-105=-60/105
\(a,\dfrac{6}{5}=\dfrac{18}{x}\\ \Rightarrow x=18:\dfrac{6}{5}\\ \Rightarrow x=15\\ b,\dfrac{3}{4}=\dfrac{-21}{x}\\ \Rightarrow x=-21:\dfrac{3}{4}\\ \Rightarrow x=-28\\ c,\dfrac{2}{-7}=\dfrac{18}{x}\\ \Rightarrow x=18:\dfrac{2}{-7}\\ \Rightarrow x=-63\\ d,\dfrac{-5}{2}=\dfrac{10}{-x}\\ \Rightarrow x=-10:\dfrac{-5}{2}\\ \Rightarrow x=4\)
\(a,\dfrac{6}{5}=\dfrac{18}{x}\Rightarrow6.x=5.18=90\\ \Rightarrow6.x=90\\ \Rightarrow x=15\\ b,\dfrac{3}{4}=\dfrac{-21}{x}\Rightarrow3.x=4.21=84\\ \Rightarrow x=28\)