tính nhanh : 1/10+1/40+1/88+...+1/340
7.9+14.27+21.36 / 21.27+42.81+63.108
1)Rút gọn: A=7.9+14.27-21.36 / 21.27+42.81+63.108
A = \(\frac{7.9+2.7.3.9-3.7.4.9}{3.7.3.9+2.3.7.9.9+7.9.4.3.9}\)
= \(\frac{7.9.\left(1+6-12\right)}{3.7.9.\left(3+18+36\right)}=\frac{-5}{3.57}=\frac{-5}{171}\)
Rút gọn: A = 7.9 + 14.27 + 21.36 / 21.27 + 42.81 + 63.108
Rút gọn tử số và mẫu số, ta được:
1.1+1.1+1.1/3.3+3.3+3.3
=1.3/9.3
Rút gọn 3 trên tử với 3 dưới mẫu
Vậy A=1/9
Tick nhé
so sánh M= 7.9 + 14.27 + 21.36/21.27 + 42.81 + 63.108 & N=37/333
Thu gọn :
A = \(\dfrac{7.9+14.27+21.36}{21.27+42.81+63.108}\)
A = \(\dfrac{7.9+14.27+21.36}{21.27+42.81+63.108}\)
= \(\dfrac{7.9+7.2.9.3+7.3.9.4}{21.27+21.2.27.3+21.3.27.4}\)
= \(\dfrac{\left(7.9\right)\left(2.3+3.4\right)}{\left(21.27\right)\left(2.3+.3.4\right)}\)
= \(\dfrac{1}{9}\)
@Nguyễn Ngọc Gia Hân
Rút Gọn: 7.9+14.27+21.36
21.27+42.81+63.108
Rút gọn các phân số sau: 7.9+14.27+21.36/21.27+42.81+63.108
So sánh:\(M=\frac{7.9+14.27+21.36}{21.27+42.81+63.108}và M=\frac{37}{333}\)
ta có: \(M=\frac{7.9+14.27+21.36}{21.27+42.81+63.108}\)
\(M=\frac{7.9+7.2.9.3+7.3.9.4}{21.27+21.227.3+21.3.27.4}\)
\(M=\frac{7.9.\left(1+2.3+3.4\right)}{21.27.\left(1+2.3+3.4\right)}\)
\(M=\frac{7.9}{3.7.3.9}\)
\(M=\frac{1}{3^2}\)
\(M=\frac{1}{9}\)
và \(N=\frac{37}{333}=\frac{37}{37.9}=\frac{1}{9}\)
\(N=\frac{1}{9}\)
\(\Rightarrow M=N\left(=\frac{1}{9}\right)\)
M= \(\frac{7.9+14.27+21.36}{21.27+42.81+63.108}\).
M= \(\frac{7.9+14.27+21.36}{7.3.9.3+14.3.27.3+21.3+36.3}\).
M= \(\frac{7.9+14.27+21.36}{7.9.9+14.27.9+21.36.9}\).
M= \(\frac{7.9+14.27+21.36}{9\left(7.9+14.27+21.36\right)}\).
M= \(\frac{1}{9}\).
Ta có: N= \(\frac{37}{333}\)= \(\frac{1}{9}\).
Vì \(\frac{1}{9}\)= \(\frac{1}{9}\) nên M= N.
Vậy M= N.
Rút gọn phân số :
A = \(\frac{7.9+14.27+21.36}{21.27+42.81+63.108}\)
\(A=\frac{7.9+14.27+21.36}{21.27+42.81+63.108}\)
\(A=\frac{7.9+7.2.9.3+7.3.9.4}{21.27+21.2.27.3+21.3.27.4}\)
\(A=\frac{7.9.\left(1+2.3+3.4\right)}{21.27+\left(1+2.3+3.4\right)}\)
\(A=\frac{7.9}{3.7.3.9}\)
\(A=\frac{1}{3.3}=\frac{1}{9}\)
Tính nhanh
A=\(\frac{7.9+14.27+21.36}{21.27+42.81+63.108}\)
B=\(\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}+\frac{5+\frac{5}{13}-\frac{5}{169}+\frac{5}{91}}{7+\frac{8}{13}-\frac{7}{169}}\)
\(A=\frac{7\times9+14\times27+21\times36}{21\times27+42\times81+63\times108}=\frac{7\times9+7\times2\times9\times3+7\times3\times9\times4}{21\times27+21\times2\times27\times3+21\times3\times27\times4}=\frac{7\times9\times\left(1+2\times3+3\times4\right)}{21\times27\times\left(1+2\times3\times3\times4\right)}=\frac{7\times3\times3}{7\times3\times3\times9}=\frac{1}{9}\)