1, Rút gọn
\(\frac{374}{506}\); \(\frac{3600-75}{8400-175}\); \(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\); \(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}\)
2, Rút gọn 1 cách nhanh nhất
\(\frac{1989.1990+3978}{1992.1991-3984}\)
Rút gọn
990/2610
374/506
3600-75/8400-175
9^14.25^5.8^7/ 18^12.625^3.24^3
bài1 rút gọn các phân số sau
a,-72/14 b,990/2610 c,374/506 d,3600-75/8400-175
\(\frac{-72}{14}=\frac{-36}{7}\)
\(\frac{990}{2610}=\frac{11}{29}\)
\(\frac{374}{506}=\frac{17}{23}\)
\(\frac{3600-75}{8400-175}=\frac{3525}{8225}=\frac{3}{7}\)
hok tốt!!
rút gọn phân số
a, 374/506
b, 914 . 255 . 87/ 1812.6253.243
\(\frac{374}{506}=\frac{2.187}{253.2}=\frac{187}{253}\)
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.9^{12}.5^{12}.3^3.8^3}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}\)
\(=\frac{3}{5^2}\)
Rút gọn các phân số sau:
a) \(\frac{-72}{14}\)
b) \(\frac{990}{2610}\)
c) \(\frac{374}{506}\)
d) \(\frac{3600-75}{8400-175}\)
e) \(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\)
các bạn giải cách làm chi tiết cho mik nhé! :D
ừa, nhưng mik còn những câu sau khó hơn nhưng mỏi tay quá nên tí gửi tiếp!
Rút gọn các phân số sau
a ) \(\frac{990}{2610}\)
b ) \(\frac{374}{506}\)
c ) \(\frac{3600-75}{8400-175}\)
d ) \(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)
các bạn hãy ghi rõ ra xem phân số đó tối giản khi chia cho số nào
a) Ta có :
990 = 2.32.5.11
2610=2.32.5.29
ƯCLN(990;2610) = 2.32.5=90
\(\Rightarrow\frac{990}{2610}=\frac{990:90}{2610:90}=\frac{11}{29}\)
Tương tự với câu b)
\(a,\frac{990}{2610}=\frac{990:90}{2610:90}=\frac{11}{29}\)
\(b,\frac{374}{506}=\frac{374:2}{506:2}=\frac{187}{253}=\frac{187:11}{253:11}=\frac{17}{23}\)
\(c,\frac{3600-75}{8400-175}=\frac{3525}{8225}=\frac{3525:25}{8225:25}=\frac{141}{329}\)
\(d,\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{9^{12}.9^2.25^3.25^2.8^3.8^4}{\left(9.2\right)^{12}.\left(25.25\right)^3.\left(8.3\right)^3}=\frac{9^{12}.9^2.25^3.25^2.8^3.8^3.8}{9^{12}.2^{12}.25^3.25^2.25.8^3.3^3}=\frac{9^2.8}{2^{12}.25.3^3}\) đến đây bn tự làm nốt đi!
~ mỏi ~
rút gọn các phân số sau.
990/2610 ; 374/506 ; 3600-75/ 8400-175 ; 9^14 . 225^5 .8^7/ 18^12 . 625^3 . 24^3
\(\frac{990}{2610}=\frac{990:11}{2610:11}=\frac{11}{29}\)
\(\frac{374}{506}=\frac{374:22}{506:22}=\frac{17}{23}\)
\(\frac{3600-75}{8400-175}=\frac{3525}{8225}=\frac{3525:1175}{8225:1175}=\frac{3}{7}\)
\(\frac{9^{14}.255^5.8^7}{18^{12}.625^3.24^3}=\frac{3^{28}.5^5.3^5.17^5.2^{21}}{2^{12}.3^{24}.5^{12}.2^9.3^3}=\frac{3^{33}.5^5.17^5.2^{21}}{2^{21}.3^{27}.5^{12}}=\frac{3^6.17^5}{5^7}\)
Rut gon cac phan so sau
a)\(\frac{4.7}{9.32}\)
b)\(\frac{990}{2610}\)
c)\(\frac{374}{-506}\)
\(a.\frac{4.7}{9.32}=\frac{4.7}{4.8.9}=\frac{7}{8.9}=\frac{7}{72}\)
\(b.\frac{990}{2610}=\frac{990\div90}{2610\div90}=\frac{11}{29}\)
\(c.\frac{374}{-506}=\frac{374\div\left(-22\right)}{-506\div\left(-22\right)}=\frac{-17}{23}\)
\(\frac{4\cdot7}{9\cdot32}=\frac{4\cdot7}{9\cdot4\cdot8}=\frac{7}{9\cdot8}=\frac{7}{72}\)
\(\frac{990}{2610}=\frac{2\cdot3^2\cdot5\cdot11}{2\cdot3^2\cdot5\cdot29}=\frac{11}{29}\)
\(\frac{374}{-506}=-\frac{374}{506}=\frac{2\cdot11\cdot17}{2\cdot11\cdot23}=-\frac{17}{23}\)
a, \(\frac{4.7}{9.32}=\frac{2.2.7}{9.2.2.8}=\frac{7}{72}\)
b, \(\frac{990}{2610}=\frac{990:90}{2610:90}=\frac{11}{29}\)
c, \(\frac{374}{-506}=\frac{374:22}{-506:22}=\frac{17}{-23}=-\frac{17}{23}\)
1.Rut gon
a)\(\frac{374}{506}\)
b)\(\frac{9^{11}\cdot25^5\cdot8^7}{18^{112}\cdot625^3\cdot24^3}\)
c)\(\frac{2^{10}.3^{11}+2^{10}.3^{12}}{2^{10}.3^{11}+2^{10}.3^{13}}\)
d)\(\frac{1989.1990+3978}{1992.1991-3984}\)
Rút gọc A = \(1-\frac{5}{\sqrt{196}}-\frac{5}{\left(2x.\sqrt{21}\right)^2}-\frac{\sqrt{25}}{204}-\frac{\left(\sqrt{5}\right)^2}{374}\)