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2/3 + 3/4=17/12
9/4 + 3/5=57/20
5/24 + 1/4=11/24
3/15 - 5/35=2/35 18/27 - 2/6=1/3 37/12 - 3=1/12
11/9 x 3/22=1/6 7/13 x 13/7=1 4 x6/7=24/7
2/5 : 3/10=4/3 3/8 : 9/4=1/6 8/21 : 4/7=2/3
Bài 1
các phân số theo thứ tự từ bé đến lớn là :
5/13; 7/13; 9/13; 11/13
Bài 2
các phân số theo thứ tự từ lớn đến bé là:
11/5; 12/12; 12/15; 9/15
Bài 3
các phân số theo thứ tự từ bé đến lớn là :
20/23; 20/12; 20/8; 20/4.
BÀI 1:
a) \(\frac{4}{5}+\frac{3}{8}+\frac{1}{4}\)
\(=\frac{32}{40}+\frac{15}{40}+\frac{10}{40}\)
\(=\frac{32+15+10}{40}\)\(=\frac{57}{40}\)
b) \(\frac{5}{9}+\frac{2}{3}+\frac{1}{2}\)
\(=\frac{10}{18}+\frac{12}{18}+\frac{9}{18}\)
\(=\frac{10+12+9}{18}=\frac{31}{18}\)
1)
14/32=7/16
2)
3/4=3/4 5/7<6/7
8/5>8/15 13/8>17/18
7/9=7/9 3/5>4/7
3)
a,9/8;25/18;9/3
b,14/16;13/18;7/8,35/40
c,không có
a: 7/8<8/9<9/10<10/11<11/12
b: 4/5<5/6<6/7<7/8
c: 1/3<3/5<7/9<9/11<11/13
1) Ta có: \(\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{7}{25}\cdot\dfrac{5}{7}\right)\)
\(=\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{1}{5}\right)\)
=0
2) Ta có: \(\dfrac{8}{17}\cdot\dfrac{4}{15}+\dfrac{8}{17}\cdot\dfrac{22}{15}-\dfrac{8}{15}\cdot\dfrac{9}{17}\)
\(=\dfrac{8}{17}\left(\dfrac{4}{15}+\dfrac{22}{15}-\dfrac{9}{15}\right)\)
\(=\dfrac{8}{17}\cdot\dfrac{15}{15}=\dfrac{8}{17}\)
3) Ta có: \(\dfrac{2021}{2}\cdot\dfrac{1}{3}+\dfrac{4042}{4}\cdot\dfrac{1}{5}+\dfrac{6063}{3}\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)+2021\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{8}{15}+\dfrac{2021}{2}\cdot\dfrac{44}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{52}{15}\)
\(=\dfrac{52546}{15}\)
4) Ta có: \(\dfrac{4}{7}\cdot\dfrac{2}{13}+\dfrac{8}{13}:\dfrac{7}{4}+\dfrac{4}{7}:\dfrac{13}{2}+\dfrac{4}{7}\cdot\dfrac{1}{13}\)
\(=\dfrac{4}{7}\left(\dfrac{2}{13}+\dfrac{8}{13}+\dfrac{2}{13}+\dfrac{1}{13}\right)\)
\(=\dfrac{4}{7}\)
Câu 1
a)\(\frac{35}{8}\);\(\frac{21}{8}\);\(\frac{13}{13}\);\(\frac{9}{15}\);\(\frac{7}{15}\)
b)\(\frac{35}{8}\);\(\frac{21}{8}\);\(\frac{13}{13}\);\(\frac{9}{15}\);\(\frac{7}{15}\)
c)\(\frac{35}{8}\);\(\frac{21}{8}\);\(\frac{13}{13}\);\(\frac{9}{15}\);\(\frac{7}{15}\)
câu 2:
\(\frac{4}{15}\):\(\frac{4}{7}\)<x<\(\frac{2}{5}\)X\(\frac{10}{3}\)
\(\frac{7}{15}\)<x<\(\frac{4}{3}\)
Ta thấy \(\frac{7}{15}\)<1
\(\frac{4}{3}\) >1
nên để \(\frac{7}{15}\)<x<\(\frac{4}{3}\)
thì x=1
Vậy x=1