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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)\(\frac{35}{8}\);\(\frac{21}{8}\);\(\frac{13}{13}\);\(\frac{9}{15}\);\(\frac{7}{15}\)
8/27+4/5+19/27+11/15=(8/27+19/27) + (4/5+11/15)
= 1+ (12/15+11/15)
= 1+ 1/8/15=2/8/15
12/13+2/7+8/13+6/13+5/7=(12/13+8/13+6/13) + (2/7+5/7)
= 2+ 1
=3
Ý a có thể bạn chép nhầm 4/5 rồi
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: \(\dfrac{4}{7}\cdot\dfrac{2}{13}+\dfrac{8}{13}:\dfrac{7}{4}+\dfrac{4}{7}:\dfrac{13}{2}+\dfrac{4}{7}\cdot\dfrac{1}{13}\)
\(=\dfrac{4}{7}\left(\dfrac{2}{13}+\dfrac{8}{13}+\dfrac{2}{13}+\dfrac{1}{13}\right)\)
\(=\dfrac{4}{7}\)
\(\dfrac{2}{9}+\dfrac{3}{7}+\dfrac{15}{13}+\dfrac{4}{7}-\dfrac{2}{13}+\dfrac{7}{9}\)
\(=\left(\dfrac{2}{9}+\dfrac{7}{9}\right)+\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\left(\dfrac{15}{13}-\dfrac{2}{13}\right)\)
\(=\dfrac{9}{9}+\dfrac{7}{7}+\dfrac{13}{13}=1+1+1=3\)
a) 7/15+14/15+13/15=(7/15+13/15)+14/15=20/15+14/15=34/15
b)13/4+4/9+7/8=(13/4+7/8)+4/9=(26/8+7/8)+4/9=33/8+4/9=297/72+32/72=329/72
a. 7/15 + 14/15 + 13/15
= 7+14+13/ 15
= 34/15
b.13/4 + 4/9 + 7/8
= [ 13/4 + 7/8 ] + 4/9
= [ 26/8 + 7/8 ] + 4/9
= 33/8 + 4/9
= 297/72 + 32/72
= 329/72
`15/13 -(4/7 + 2/13)`
`= 15/13 -4/7-2/13`
`=(15/13-2/13)-4/7`
`= 13/13-4/7`
`=1-4/7`
`=7/7-4/7`
`=3/7`
\(\dfrac{15}{13}-\left(\dfrac{4}{7}-\dfrac{2}{13}\right)\)
\(=\dfrac{15}{13}-\dfrac{4}{7}-\dfrac{2}{13}\)
\(=\left(\dfrac{15}{13}-\dfrac{2}{13}\right)-\dfrac{4}{7}\)
\(=1-\dfrac{4}{7}\)
\(=\dfrac{3}{7}\)