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a) \(1678\cdot24+77\cdot1678-1678=1678\left(24+77-1\right)=167800\)
b) Ta có: \(\dfrac{2}{5}+\dfrac{4}{11}+\dfrac{3}{5}+\dfrac{18}{11}+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=\left(\dfrac{2}{5}+\dfrac{3}{5}\right)+\left(\dfrac{4}{11}+\dfrac{18}{11}\right)+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=3+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=\dfrac{36}{12}+\dfrac{3}{12}+\dfrac{2}{12}=\dfrac{41}{12}\)
\(\frac{5}{7}+\frac{3}{4}=\frac{41}{28}\)\(Đ\)
\(3+\frac{2}{5}=1\)\(S\)
\(\frac{11}{9}-\frac{5}{6}=\frac{7}{18}\)\(Đ\)
\(4-\frac{3}{7}=\frac{25}{7}\)\(Đ\)
\(x+\frac{4}{11}=\frac{3}{5}\).
\(x=\frac{3}{5}-\frac{4}{11}\)
\(x=\frac{13}{55}\)
Vậy ta chọn câu C
dung hay sai
5/7 + 3/4 = 41/28 .....Đ...
3 + 2/5 = 1....S....
11/9 - 5/6 = 7/18....Đ...
4 - 3/7 = 25/7.....
tim x
x + 4/11 =3/5
Đáp án : C .13/55
\(\dfrac{2}{7}+\dfrac{5}{9}+\dfrac{5}{7}+\dfrac{11}{13}+\dfrac{1}{3}+\dfrac{2}{13}\)
\(=\left(\dfrac{2}{7}+\dfrac{5}{7}\right)+\left(\dfrac{5}{9}+\dfrac{1}{3}\right)+\left(\dfrac{11}{13}+\dfrac{2}{13}\right)\)
\(=1+\dfrac{8}{9}+1\)
\(=\dfrac{9}{9}+\dfrac{8}{9}+\dfrac{9}{9}\)
\(=\dfrac{26}{9}\)
Chúc bạn học tốt
\(A=\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}+\frac{2}{11\cdot13}+\frac{2}{13\cdot15}\)
\(A=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{13}-\frac{1}{15}=1-\frac{1}{15}=\frac{14}{15}\)
Bài làm:
Ta có: \(A=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{13.15}\)
\(A=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\)
\(A=1-\frac{1}{15}\)
\(A=\frac{14}{15}\)
\(\dfrac{3}{5}+\dfrac{6}{11}+\dfrac{7}{13}+\dfrac{2}{5}+\dfrac{16}{11}+\dfrac{19}{13}\\ =\left(\dfrac{3}{5}+\dfrac{2}{5}\right)+\left(\dfrac{6}{11}+\dfrac{16}{11}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)\\ =\dfrac{5}{5}+\dfrac{22}{11}+\dfrac{26}{13}\\ =1+2+2\\ =5\)
`5/9+13/7+15/13+8/7+4/9+11/13`
`=(5/9+4/9)+(13/7+8/7)+(15/13+11/13)`
`=9/9+21/7+26/13`
`=1+3+2`
`=6`
`6/11+2/5+16/11+19/13+3/5+7/13`
`=(6/11+16/11)+(2/5+3/5)+(19/13+7/13)`
`=22/11+5/5+26/13`
`=2+1+2=5`
nhóm các phân số có mẫu giống nhau lại
\(=\frac{3}{5}+\left(\frac{6}{11}+\frac{16}{11}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)\)
\(=\frac{3}{5}+\frac{22}{11}+\frac{26}{13}\)
\(=\frac{3}{5}+2+2\)
\(=\frac{3}{5}+4\)
\(=\frac{3}{5}+\frac{20}{5}\)
\(=\frac{23}{5}\)
\(\dfrac{11}{11}\cdot\dfrac{5}{7}\cdot\dfrac{7}{13}=\dfrac{5}{7}\cdot\dfrac{7}{13}=\dfrac{5}{13}\cdot\dfrac{7}{7}=\dfrac{5}{13}\)
= 5/7 X 7/13
=35/91