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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: \(\dfrac{4}{7}\cdot\dfrac{2}{13}+\dfrac{8}{13}:\dfrac{7}{4}+\dfrac{4}{7}:\dfrac{13}{2}+\dfrac{4}{7}\cdot\dfrac{1}{13}\)
\(=\dfrac{4}{7}\left(\dfrac{2}{13}+\dfrac{8}{13}+\dfrac{2}{13}+\dfrac{1}{13}\right)\)
\(=\dfrac{4}{7}\)
\(\frac{13}{8}=9x-\frac{47}{8}\)
\(\frac{13}{8}+\frac{47}{8}=9x\)
\(\frac{15}{2}=9x\)
\(\frac{15}{2}:9=x\)
\(\frac{5}{6}=x\)
\(\dfrac{9}{2}+\dfrac{6}{13}+\dfrac{5}{8}-\dfrac{7}{2}+\dfrac{3}{8}-\dfrac{5}{13}\\ =\left(\dfrac{9}{2}-\dfrac{7}{2}\right)+\left(\dfrac{6}{13}-\dfrac{5}{13}\right)+\left(\dfrac{5}{8}+\dfrac{3}{8}\right)\\ =\dfrac{2}{2}+\dfrac{1}{13}+\dfrac{8}{8}\\ =1+1+\dfrac{1}{13}\\ =2+\dfrac{1}{13}\\ =\dfrac{2.13+1}{13}\\ =\dfrac{27}{13}\)
\(\dfrac{9}{2}\)+\(\dfrac{6}{13}\)+\(\dfrac{5}{8}\)-\(\dfrac{7}{2}\)+\(\dfrac{3}{8}\)-\(\dfrac{5}{13}\)
=(\(\dfrac{9}{2}\) -\(\dfrac{7}{2}\))+(\(\dfrac{6}{13}\)-\(\dfrac{5}{13}\))+(\(\dfrac{5}{8}\)+\(\dfrac{3}{8}\))
= 1 + \(\dfrac{1}{13}\) + 1
= (1 + 1)+\(\dfrac{1}{13}\)
= 2 +\(\dfrac{1}{13}\)
= \(\dfrac{26}{13}\) +\(\dfrac{1}{13}\)
= \(\dfrac{27}{13}\)
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
TL :
1) 112 x 5 x 2
= 112 x 10
=1120
2) 2 x 247 x 5
= 247 x 10
= 2470
3) 2 x 4 x 3 x 5
= 12 x 10
= 120
4) 20 x 7 x 5 x 8
= 100 x 56
= 5600
5) 25 x 35 x 4
= 100 x 35
= 3500
6) 47 x 7 + 47 x 3
= 47 x ( 7 + 3 )
= 47 x 10
= 470
7) 5 x 7 x 9 x 2
= 10 x 63
= 630
8) 125 x 9 x 7 x 8
= 1000 x 63
= 63000
9) 4 x 97 x 25
= 100 x 97
= 9700
10) 8 x 9 x 10 ( chắc thế )
= 80 x 9
= 720
11) 240 x 24 + 240 x 24
= 24 x ( 240 + 240 )
= 24 x 480
= 11520
12) 27 x 2 + 27 x 3 + 27 x 5
= 27 x ( 2 + 3 + 5 )
= 27 x 10
= 270
13) 48 x 4 + 48 x 3 + 48 x 2 + 48
= 48 x 4 + 48 x 3 + 48 x 2 + 48 x 1
= 48 x ( 4 + 3 + 2 + 1 )
= 48 x 10
= 480
14) 247 x 36 + 247 x 64
= 247 x ( 36 + 64 )
= 247 x 100
= 24700
15) 76 x 6 + 76 x 4
= 76 x ( 6 + 4 )
= 76 x 10
= 760
16) 249 x 101 - 249
= 249 x 101 - 249 x 1
= 249 x ( 101 - 1 )
= 249 x 100
= 24900
Mong các ban cho tui 10 cái T I C K
~HT~
Trả lời :
\(\frac{8}{3}\div\left(\frac{47}{9}-\frac{13}{3}\right)\)
\(=\frac{8}{3}\div\left(\frac{47}{9}-\frac{39}{9}\right)\)
\(=\frac{8}{3}\div\frac{8}{9}\)
\(=\frac{8}{3}\times\frac{9}{8}=\frac{9}{3}=3\)
~ HT ~