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a) \(2+\dfrac{3}{4}\)
\(=\dfrac{8}{4}+\dfrac{3}{4}\)
\(=\dfrac{8+3}{4}\)
\(=\dfrac{11}{4}\)
b) \(\dfrac{1}{3}+\dfrac{3}{2}-\dfrac{7}{4}\)
\(=\dfrac{4}{12}+\dfrac{18}{12}-\dfrac{21}{12}\)
\(=\dfrac{4+18-21}{12}\)
\(=\dfrac{1}{12}\)
c) \(\dfrac{1}{6}+\dfrac{3}{8}-\dfrac{1}{4}\)
\(=\dfrac{4}{24}+\dfrac{9}{24}-\dfrac{6}{24}\)
\(=\dfrac{4+9-6}{24}\)
\(=\dfrac{7}{24}\)
d) \(\dfrac{5}{12}+\dfrac{3}{8}\times\dfrac{4}{9}\)
\(=\dfrac{5}{12}+\dfrac{3\times4}{8\times9}\)
\(=\dfrac{5}{12}+\dfrac{1}{6}\)
\(=\dfrac{5}{12}+\dfrac{2}{12}\)
\(=\dfrac{7}{12}\)
e) \(\dfrac{4}{5}-\dfrac{1}{5}\times\dfrac{7}{2}\)
\(=\dfrac{4}{5}-\dfrac{1\times7}{5\times2}\)
\(=\dfrac{4}{5}-\dfrac{7}{10}\)
\(=\dfrac{8}{10}-\dfrac{7}{10}\)
\(=\dfrac{8-7}{10}\)
\(=\dfrac{1}{10}\)
f) \(\dfrac{16}{9}-\dfrac{4}{15}:\dfrac{2}{5}\)
\(=\dfrac{16}{9}-\dfrac{4}{15}\times\dfrac{5}{2}\)
\(=\dfrac{16}{9}-\dfrac{4\times5}{15\times2}\)
\(=\dfrac{16}{9}-\dfrac{2}{3}\)
\(=\dfrac{16}{9}-\dfrac{6}{9}\)
\(=\dfrac{16-6}{9}\)
\(=\dfrac{10}{9}\)
a: =8/4+3/4=11/4
b: =4/12+18/12-21/12=1/12
c: =4/24+9/24-6/24=7/24
d: =5/12+12/72
=5/12+1/6
=5/12+2/12=7/12
e: =4/5-7/10
=8/10-7/10=1/10
f: =16/9-4/15*5/2
=16/9-20/30
=16/9-2/3
=16/9-6/9=10/9
a) = 29/15
b) = 7/15
c) = 1
d) = 3
e) = 67/17
f) = 2
mk nhanh nhất tk cho mk nha
a/\(\frac{3}{5}+\frac{4}{3}=\frac{9}{15}+\frac{20}{15}=\frac{29}{15}\)
b/\(\frac{2}{3}-\frac{1}{5}=\frac{10}{15}-\frac{3}{15}=\frac{7}{15}\)
c/\(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}=\frac{3}{6}+\frac{2}{6}+\frac{1}{6}=\frac{7}{6}\)
d,\(\frac{3}{5}+\frac{4}{7}+\frac{7}{5}+\frac{3}{7}=\left(\frac{3}{5}+\frac{7}{5}\right)+\left(\frac{4}{7}+\frac{3}{7}\right)=2+1=3\)
Bài 2. > , < , = ?
5/7 < 4/3 2/5 < 6/10 1/4 = 3/12 27/36 >
2/9 7/6 > 7/9
7/2 = 2/7 15/23 < 1 27/9 > 2 14/15 < 1 51/17 < 4
a)\(\frac{4}{3.7}+\frac{4}{7.11}+...+\frac{4}{23.27}=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{23}-\frac{1}{27}=\frac{1}{3}-\frac{1}{27}=\frac{8}{27}\)
b)\(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{6.7}=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{6}-\frac{1}{7}=\frac{1}{2}-\frac{1}{7}=\frac{5}{14}\)
c)\(\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{11.13}+\frac{2}{1.2}+\frac{2}{2.3}+...+\frac{2}{9.10}=\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{11}-\frac{1}{13}\right)+2\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=\frac{1}{3}-\frac{1}{13}+2\left(1-\frac{1}{10}\right)=\frac{10}{39}+\frac{9}{5}=\frac{401}{195}\)
a) 3/5x7/8:10/9=21/40:10/9=189/400
b) 3 2/7x2 1/4:1 2/5=23/7x9/4:7/5=207/28:7/5=1035/196
c) 6/9+24/15+12/9+6/15=34/15+12/9+6/15=18/5+6/15=4
d) 3 2/9-( 1 5/8+1 2/9 )=29/9-(13/8+11/9)=29/9-205/72=3/8
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10=55
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20=110
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19=100
k mk nha pạn hiền!
10 +1 = 11 có 10 số vậy thì 10 : 2 = 5 thì sẽ bằng 5x11 = 55
2 + 20 = 22 cũng có 10 số lấy 10 : 2 = 5 se bang 22 x5 = 110
1+19 = 20 , 10 : 2 = 5 , 20x5 = 100
1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+9+8+9+10+12+13+14+15+16+17+18+19+20+30+1000000=10000274
\(\dfrac{4}{7}+\dfrac{3}{4}+\dfrac{2}{7}\\ =\dfrac{6}{7}+\dfrac{3}{4}\\ =\dfrac{24}{28}+\dfrac{21}{28}=\dfrac{45}{28}\\ ------------\\ \dfrac{1}{6}+\dfrac{5}{24}+\dfrac{2}{3}\\ =\dfrac{4}{24}+\dfrac{5}{24}+\dfrac{16}{24}=\dfrac{25}{24}\\ ---------\\ \dfrac{1}{2}+\dfrac{5}{16}-\dfrac{1}{4}\\ =\dfrac{8}{16}+\dfrac{5}{16}-\dfrac{4}{16}=\dfrac{9}{16}\)
\(----------\\ 1-\left(\dfrac{1}{5}+\dfrac{1}{2}\right)\\ =\dfrac{10}{10}-\dfrac{2}{10}-\dfrac{5}{10}=\dfrac{3}{10}\\ ---------\\ \dfrac{2}{3}+\dfrac{1}{2}-\dfrac{5}{6}\\ =\dfrac{4}{6}+\dfrac{3}{6}-\dfrac{5}{6}=\dfrac{2}{6}=\dfrac{1.}{3}\\ --------\\ \dfrac{5}{12}+\dfrac{5}{6}-\dfrac{3}{4}\\ =\dfrac{5}{12}+\dfrac{10}{12}-\dfrac{9}{12}=\dfrac{6}{12}=\dfrac{1}{2}\\ ---------\)
\(\dfrac{7}{5}-\dfrac{4}{15}-\dfrac{2}{3}\\ =\dfrac{21}{15}-\dfrac{4}{15}-\dfrac{10}{15}=\dfrac{7}{15}\)
\(\dfrac{4}{7}+\dfrac{3}{4}+\dfrac{2}{7}=\left(\dfrac{4}{7}+\dfrac{2}{7}\right)+\dfrac{3}{4}=\dfrac{6}{7}+\dfrac{3}{4}=\dfrac{24}{28}+\dfrac{21}{28}=\dfrac{45}{28}\)
\(\dfrac{1}{6}+\dfrac{5}{24}+\dfrac{2}{3}=\dfrac{4}{24}+\dfrac{5}{24}+\dfrac{16}{24}=\dfrac{25}{24}\)
\(\dfrac{1}{2}+\dfrac{5}{16}-\dfrac{1}{4}=\dfrac{8}{16}+\dfrac{5}{16}-\dfrac{4}{16}=\dfrac{9}{16}\)
\(1-\left(\dfrac{1}{5}+\dfrac{1}{2}\right)=1-\left(\dfrac{2}{10}+\dfrac{5}{10}\right)=1-\dfrac{7}{10}=\dfrac{10}{10}-\dfrac{7}{10}=\dfrac{3}{10}\)
\(\dfrac{2}{3}+\dfrac{1}{2}-\dfrac{5}{6}=\dfrac{4}{6}+\dfrac{3}{6}-\dfrac{5}{6}=\dfrac{2}{6}=\dfrac{1}{3}\)
\(\dfrac{5}{12}+\dfrac{5}{6}-\dfrac{3}{4}=\dfrac{5}{12}+\dfrac{10}{12}-\dfrac{9}{12}=\dfrac{6}{12}=\dfrac{1}{2}\)
\(\dfrac{7}{5}-\dfrac{4}{15}-\dfrac{2}{3}=\dfrac{21}{15}-\dfrac{4}{15}-\dfrac{10}{15}=\dfrac{7}{15}\)