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Bài 4:
a; \(\dfrac{1}{4}\) - \(\dfrac{1}{5}\) = \(\dfrac{5}{20}\) - \(\dfrac{4}{20}\) = \(\dfrac{1}{20}\)
b; \(\dfrac{3}{5}\) - \(\dfrac{-1}{2}\) = \(\dfrac{6}{10}\) + \(\dfrac{5}{10}\) = \(\dfrac{11}{10}\)
c; \(\dfrac{3}{5}\) - \(\dfrac{-1}{3}\) = \(\dfrac{9}{15}\) + \(\dfrac{5}{15}\) = \(\dfrac{14}{15}\)
d; \(\dfrac{-5}{7}\) - \(\dfrac{1}{3}\)= \(\dfrac{-15}{21}\) - \(\dfrac{7}{21}\)= \(\dfrac{-22}{21}\)
Bài 5
a; 1 + \(\dfrac{3}{4}\) = \(\dfrac{4}{4}\) + \(\dfrac{3}{4}\) = \(\dfrac{7}{4}\) b; 1 - \(\dfrac{1}{2}\) = \(\dfrac{2}{2}\) - \(\dfrac{1}{2}\) = \(\dfrac{1}{2}\)
c; \(\dfrac{1}{5}\) - 2 = \(\dfrac{1}{5}\) - \(\dfrac{10}{5}\) = \(\dfrac{-9}{5}\) d; -5 - \(\dfrac{1}{6}\) = \(\dfrac{-30}{6}\) - \(\dfrac{1}{6}\) = \(\dfrac{-31}{6}\)
e; - 3 - \(\dfrac{2}{7}\)= \(\dfrac{-21}{7}\) - \(\dfrac{2}{7}\)= \(\dfrac{-23}{7}\) f; - 3 + \(\dfrac{2}{5}\) = \(\dfrac{-15}{5}\) + \(\dfrac{2}{5}\)= - \(\dfrac{13}{5}\)
g; - 3 - \(\dfrac{2}{3}\) = \(\dfrac{-9}{3}\) - \(\dfrac{2}{3}\) = \(\dfrac{-11}{3}\) h; - 4 - \(\dfrac{-5}{7}\) = \(\dfrac{-28}{7}\)+ \(\dfrac{5}{7}\) = - \(\dfrac{23}{7}\)
a; \(\dfrac{x-1}{12}\) = \(\dfrac{5}{3}\)
\(x-1\) = \(\dfrac{5}{3}\) \(\times\) 12
\(x\) - 1 = 20
\(x\) = 20 + 1
\(x\) = 21
b; \(\dfrac{-x}{8}\) = \(\dfrac{-50}{x}\)
-\(x\).\(x\) = -50.8
-\(x^2\) = -400
\(x^2\) = 400
\(\left[{}\begin{matrix}x=-20\\x=20\end{matrix}\right.\)
Vậy \(x\) \(\in\) {-20; 20}
c; \(\dfrac{x}{3}\) = \(\dfrac{14}{x+1}\)
\(x\).(\(x\)+1) = 14.3
\(x^2\) + \(x\) = 42
\(x^2\) + \(x\) - 42 = 0
\(x^2\) - 6\(x\) + 7\(x\) - 42 = 0
\(x\).(\(x\) - 6) + 7.(\(x\) - 6) = 0
(\(x\) - 6).(\(x\) + 7) = 0
\(\left[{}\begin{matrix}x-6=0\\x+7=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=6\\x=-7\end{matrix}\right.\)
Vậy \(x\) \(\in\) {-7; 6}
d; \(x-\dfrac{2}{9}\) = \(\dfrac{1}{6}\)
\(x\) = \(\dfrac{1}{6}\) + \(\dfrac{2}{9}\)
\(x\) = \(\dfrac{7}{18}\)
Vậy \(x\) = \(\dfrac{7}{18}\)
Có quá nhiều bài, thứ nhất em đăng tách ra, thứ hai chụp gần cận cho rõ, thứ ba em chỉ đăng bài cần giúp
Bài 3:
a; \(\frac56-\frac89\) = \(\frac{15}{18}-\) \(\frac{16}{18}\) = - \(\frac{1}{18}\)
d; \(\frac{5}{16}-\frac{5}{24}\)
= \(\frac{15}{48}\) - \(\frac{10}{48}\)
= \(\frac{5}{48}\)
e; - \(\frac{7}{30}\) + \(\frac{8}{45}\)
= \(-\frac{21}{90}\) + \(\frac{16}{90}\)
= - \(\frac{5}{90}\)
= - \(\frac{1}{18}\)
f; \(\frac{7}{12}-\frac{-9}{20}\)
= \(\frac{35}{60}\) + \(\frac{27}{60}\)
= \(\frac{62}{60}\)
= 31/30
h; - \(\frac48\) + \(-\frac{3}{10}\)
= -\(\frac{20}{40}-\frac{12}{40}\)
= - \(\frac{32}{40}\)
= - \(\frac45\)
\(a,MSC:180\\ Có:-5=\dfrac{-5.180}{180}=\dfrac{-900}{180};\dfrac{17}{-20}=\dfrac{17.\left(-9\right)}{\left(-9\right).\left(-20\right)}=\dfrac{-153}{180};\dfrac{-16}{9}=\dfrac{-16.20}{9.20}=\dfrac{-320}{180}\\ ---\\ b.MSC:75\\ Có:\dfrac{13}{-15}=\dfrac{13.\left(-5\right)}{\left(-15\right).\left(-5\right)}=\dfrac{-65}{75};\dfrac{-18}{25}=\dfrac{-18.3}{25.3}=\dfrac{-54}{75};-3=\dfrac{-3.75}{75}=\dfrac{-225}{75}\)
| Phân số | Đọc | Tử Số | Mẫu số |
| \(\dfrac{5}{7}\) | Năm phần bẩy | 5 | 7 |
| \(\dfrac{-6}{11}\) | âm sáu phần mười một | -6 | 11 |
| \(\dfrac{-2}{13}\) | âm hai phần ba | -2 | 13 |
| \(\dfrac{9}{-11}\) | chín phần âm mười một | 9 | -11 |
a) 3h 20ph = 3 và 1/3 = 10/3
b) 1h 45 ph = 1 và 3/4 = 7/4
c) 2h 40 ph = 2 và 2/3 = 8/3








a, 2\(x\) + 5 = -11
2\(x\) = - 11 - 5
2\(x\) = -16
\(x\) = - 16 : 2
\(x\) = - 8
b, 23 - 3\(x\) = 5
3\(x\) = 23 - 5
3\(x\) = 18
\(x\) = 18 : 3
\(x\) = 6
c, 15 - 2\(x\) = 5
2\(x\) = 15 - 5
2\(x\) = 10
\(x\) = 10 : 2
\(x\) = 5
d, 3.(\(x\) + 5) - (\(x\) - 4) = 5
3\(x\) + 15 - \(x\) + 4 = 5
2\(x\) + 19 = 5
2\(x\) = 5 - 19
2\(x\) = - 14
\(x\) = -14 : 2
\(x\) = - 7
e, 3.(\(x\) - 5) - 4.(\(x\) -9) = \(x\) + 3
3\(x\) - 15 - 4\(x\) + 36 = \(x\) + 3
- \(x\) + 21 = \(x\) + 3
\(x\) + \(x\) = 21 - 3
2\(x\) = 18
\(x\) = 18 : 2
\(x\) = 9
f, (\(x\) -1)2 = 81
(\(x\) - 1)2 = 92
\(\left[{}\begin{matrix}x-1=-9\\x-1=9\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-9+1\\x=9+1\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-8\\x=10\end{matrix}\right.\)
g, 4\(x^2\) = - 2.(-50)
4\(x^2\) = 100
\(x^2\) = 100 : 4
\(x^2\) = 25
\(x\) = \(\pm\) 5
\(x\) \(\in\) {-5; 5}
h, (-2)\(^{x+5}\) = -8
(-2)\(^{x+5}\) = (-2)3
\(x\) + 5 = 3
\(x\) = 3 - 5
\(x\) = -2