Rút gọn phân số :
a)\(\frac{6.9-2.17}{6.3-11.9}\)
b)\(\frac{3.13-13.18}{15.40-80}\)
c)\(\frac{\left(-5\right)^3.40.43}{135.\left(-2\right)^{14}.\left(-100\right)^0}\)
d)\(\frac{2929-101}{2.1919+404}\)
Can you help me ?
Những câu hỏi liên quan
Rút gọn các phân số sau
a,\(\frac{6.9-2.17}{63.3-119}\)b,\(\frac{3.13-13.18}{15.40-80}\) c,\(\frac{-1997.1996+1}{\left(-1995\right).\left(-1997\right)+1996}\)
d,\(\frac{3.7.13.37.39-10101}{505050-70707}\)
e,\(\frac{2929-101}{2.1919+404}\)
Trả lời:
a, \(\frac{6\times9-2\times17}{63\times3-119}=\frac{2.3\times9-2\times17}{7.9\times3-7.17}\)
\(=\frac{2\times\left(3\times9-17\right)}{7\times\left(3\times9-17\right)}\)
\(=\frac{2}{7}\)
b, \(\frac{3\times13-13\times18}{15\times40-80}=\frac{13\times\left(3-18\right)}{40\times\left(15-2\right)}\)
\(=\frac{13\times-15}{40\times13}\)
\(=\frac{-3}{8}\)
c, \(\frac{-1997.1996+1}{\left(-1995\right).\left(-1997\right)+1996}=\frac{-1997.1996+1}{\left(1-1996\right).\left(-1997\right)+1996}\)
\(=\frac{-1997.1996+1}{-1997-1996.\left(-1997\right)+1996}\)
\(=\frac{-1997.1996+1}{-1996.\left(-1997\right)-1}\)
\(=\frac{-1997.1996+1}{-\left[1996.\left(-1997\right)+1\right]}\)
\(=-1\)
d, \(\frac{3.7.13.37.39-10101}{505050-70707}=\frac{10101.39-10101}{50.10101-7.10101}\)
\(=\frac{10101.\left(39-1\right)}{10101.\left(50-7\right)}\)
\(=\frac{10101.38}{10101.43}\)
\(=\frac{38}{43}\)
15 tháng 3 2021 lúc 12:19
Rút gọn phân số:a) dfrac{2929-101}{2.1149+404}b) dfrac{6.9-2.17}{63.3-119}c) dfrac{3.13-13.18}{15.40-80}d) dfrac{-1997-1996+1}{left(-1995right).left(-1997right)+1996}e) dfrac{2.3+4.6+14.21}{3.5+6.10+21.35}g) dfrac{left(-5right)^3.40.4^3}{135.left(-3right)^{14}.left(-100right)^0} h) dfrac{18.34+left(-18right).124}{-36.17+9.left(52right)}j) dfrac{9.11+32.9}{23.15+12.23}k) dfrac{12.13+24.26+36.39}{24.26+48.52+72.78}
Đọc tiếp
Rút gọn phân số:
a) \(\dfrac{2929-101}{2.1149+404}\)
b) \(\dfrac{6.9-2.17}{63.3-119}\)
c) \(\dfrac{3.13-13.18}{15.40-80}\)
d) \(\dfrac{-1997-1996+1}{\left(-1995\right).\left(-1997\right)+1996}\)
e) \(\dfrac{2.3+4.6+14.21}{3.5+6.10+21.35}\)
g) \(\dfrac{\left(-5\right)^3.40.4^3}{135.\left(-3\right)^{14}.\left(-100\right)^0}\)
h) \(\dfrac{18.34+\left(-18\right).124}{-36.17+9.\left(52\right)}\)
j) \(\dfrac{9.11+32.9}{23.15+12.23}\)
k) \(\dfrac{12.13+24.26+36.39}{24.26+48.52+72.78}\)
b) \(\dfrac{6\cdot9-2\cdot17}{63\cdot3-119}\)
\(=\dfrac{2\left(3\cdot9-17\right)}{7\cdot\left(3\cdot9-17\right)}\)
\(=\dfrac{2}{7}\)
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a)frac{-135}{540}b)frac{25.13}{26.35}c)frac{6.9-2.17}{63.3-119}d)frac{3.13-13.18}{15.40-80}e)frac{-5^3.40.4^4}{135.left(-2right)^{14}.left(-100right)^0}f)frac{2929-101}{2.1919+404}g)frac{-1997.1996+1}{left(-1995right).left(-1997right)+1996}h)frac{2.3+4.6+14.21}{3.5+6.10+21.35}i)frac{3.7.13.37.39-10101}{505050-70707}k)frac{18.34+left(-18right).124}{-36.17+9.left(-52right)}
Đọc tiếp
a)\(\frac{-135}{540}\)
b)\(\frac{25.13}{26.35}\)
c)\(\frac{6.9-2.17}{63.3-119}\)
d)\(\frac{3.13-13.18}{15.40-80}\)
e)\(\frac{-5^3.40.4^4}{135.\left(-2\right)^{14}.\left(-100\right)^0}\)
f)\(\frac{2929-101}{2.1919+404}\)
g)\(\frac{-1997.1996+1}{\left(-1995\right).\left(-1997\right)+1996}\)
h)\(\frac{2.3+4.6+14.21}{3.5+6.10+21.35}\)
i)\(\frac{3.7.13.37.39-10101}{505050-70707}\)
k)\(\frac{18.34+\left(-18\right).124}{-36.17+9.\left(-52\right)}\)
rút gọn phân số:
1, 3.13-13.18 / 15.40-80
2, (-5)^3.40. 4^3 / 135.(-2)^14.(-100)^0
3, 2929-101 / 2.1919+404
Đặt A = \(\frac{3.13-13.18}{15.40-80}\)
=> A = \(\frac{13.\left(3-18\right)}{15.40-80}\)
=> A = \(\frac{13.\left(-15\right)}{15.40-40.2}\)
=> A = \(\frac{13.\left(-15\right)}{40.\left(15-2\right)}\)
=> A = \(\frac{13.\left(-15\right)}{40.13}\)
=> A = \(\frac{-15}{40}\)
=> A = \(\frac{-3}{8}\)
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Rút gọn phân số
\(y=\frac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.1}\) ; \(\frac{2929-101}{2.1919+404}\) ; \(\frac{-1997.1996+1}{-1995.\left(-1997\right)+1996}\)
Rút gọn phân số
1\(\frac{6.9-2.17}{63.3-119}\)
2) \(\frac{2929-101}{2.1919+404}\)
3) \(\frac{-1997.1996+1}{\left(-1995\right).\left(-1997\right)+1996}\)
4) \(\frac{2.3+4.6+14.21}{3.5+6.10+21.35}\)
5) \(\frac{3.7.13.37.39+10101}{505050-707070}\)
1.Tính tổng: frac{5}{1.3}+frac{5}{3.5}+frac{5}{5.7}+....+frac{5}{99.101}2.Rút gọn phân số:a)frac{2929-101}{2.1919+404} b)frac{6.9-2.17}{63.3-119} c)frac{3.13-13.18}{15.40-80} d)frac{left(-5right)^3.40.4^3}{135.left(-2right)^{14}.left(-100right)^0}e)frac{-1997.1996+1}{-1995.left(-1997right)+1996} f)frac{2.3+4.6+14.21}{3.5+6.10+21.35} f)frac{2.3+4.6+14.21}{3.5+6.10+21.35} ...
Đọc tiếp
1.Tính tổng: \(\frac{5}{1.3}+\frac{5}{3.5}+\frac{5}{5.7}+....+\frac{5}{99.101}\)
2.Rút gọn phân số:
a)\(\frac{2929-101}{2.1919+404}\) b)\(\frac{6.9-2.17}{63.3-119}\)
c)\(\frac{3.13-13.18}{15.40-80}\) d)\(\frac{\left(-5\right)^3.40.4^3}{135.\left(-2\right)^{14}.\left(-100\right)^0}\)
e)\(\frac{-1997.1996+1}{-1995.\left(-1997\right)+1996}\) f)\(\frac{2.3+4.6+14.21}{3.5+6.10+21.35}\)
f)\(\frac{2.3+4.6+14.21}{3.5+6.10+21.35}\) g)\(\frac{3.7.13.37.39-10101}{505050-70707}\)
h)\(\frac{18.34+\left(-18\right).124}{-36.17+9.\left(-52\right)}\)
Bài 1:
Coi \(A=\frac{5}{1.3}+\frac{5}{3.5}+\frac{5}{5.7}+....+\frac{5}{99.101}\)
\(2A=\left(\frac{5}{1.3}+\frac{5}{3.5}+\frac{5}{5.7}+....+\frac{5}{99.101}\right).2\)
\(=5.\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+....+\frac{2}{99.101}\right)\)
\(=5.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{99}-\frac{1}{101}\right)\)
\(=5.\left(1-\frac{1}{101}\right)\)
\(=5.\frac{100}{101}\)
\(=\frac{500}{101}\Rightarrow A=\frac{500}{101}:2=\frac{250}{101}\)
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\(\left(\frac{5}{1}-\frac{5}{3}+\frac{5}{3}-\frac{5}{5}....+\frac{5}{99}-\frac{5}{101}\right):\frac{1}{5}\)
\(\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}.....+\frac{1}{99}-\frac{1}{101}\right).5\)
\(\left(\frac{1}{1}-\frac{1}{101}\right).5\)
\(\frac{100}{101}.5\)
\(\frac{500}{101}\)
2,a,\(\frac{2929-101}{3838+404}\)\(=\frac{2828}{4242}=\frac{2}{3}\)
\(b,\frac{54-34}{189-119}=\frac{20}{70}=\frac{2}{7}\)
\(c,d,e,f,f,g,h\)\(tuong\) \(tu\)
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\(\frac{5}{1.3}+\frac{5}{3.5}+\frac{5}{5.7}+...............+\frac{5}{99.101}\)
\(=\frac{5.2}{1.3.2}+\frac{5.2}{3.5.2}+\frac{5.2}{5.7.2}+............+\frac{5.2}{99.101.2}\)
\(=\frac{5}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+.................+\frac{2}{99.101}\right)\)
\(=\frac{5}{2}.\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+.........+\frac{1}{99}-\frac{1}{101}\right)\)
\(=\frac{5}{2}.\left(1-\frac{1}{101}\right)\)
\(=\frac{5}{2}.\frac{100}{101}\)
\(=\frac{250}{101}\)
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Xem thêm câu trả lời
Rút gọn:
\(a,\) \(\frac{3.13-13.18}{15.40-80}\)
\(b,\frac{3^{10}.(-5)^{21}}{(-5)^{20}.3^{12}}\)
\(c,\frac{18.34+\left(-18\right).124}{-36.17+9.\left(-52\right)}\)
\(\frac{13.\left[2929-101\right]}{2.1919+404}\)
Rút gọn phân số trên.
\(\frac{13.\left(2929-101\right)}{2.1919+404}=\frac{13\left(101.29-101\right)}{2.101.19+101.4}=\frac{13.101\left(29-1\right)}{2.101\left(19+2\right)}=\frac{13.28}{2.21}=\frac{13.2}{3}=\frac{26}{3}\)
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