3/5.11+3/11.21+7/21.35+9/35.53
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VH
0
NN
1
AM
17 tháng 6 2015
\(\frac{3}{5.11}+\frac{5}{11.21}+\frac{7}{21.35}+\frac{9}{35.53}=\frac{1}{2}\left(\frac{1}{5}-\frac{1}{11}+\frac{1}{11}-\frac{1}{21}+\frac{1}{21}-\frac{1}{35}+\frac{1}{35}-\frac{1}{53}\right)=\frac{1}{2}\left(\frac{1}{5}-\frac{1}{53}\right)=\frac{1}{10}-\frac{1}{106}<\frac{1}{10}<1\)
PC
0
HN
1
PD
1 tháng 5 2022
3/5 . 11/7 + 3/5 . (- 4/7) + 2/5
= 3/5 . [11/7 + (- 4/7)] + 2/5
= 3/5 . 1 + 2/5
= 3/5 + 2/5
= 1
13 tháng 7 2021
\(\frac{3}{13}.\frac{5}{9}+\frac{1}{6}:\frac{13}{3}+1\)
\(=\frac{3}{13}.\frac{5}{9}+\frac{1}{6}.\frac{3}{13}+1\)
\(=\frac{3}{13}.\left(\frac{5}{9}+\frac{1}{6}\right)+1\)
\(=\frac{3}{13}.\left(\frac{30+9}{54}\right)+1\)
\(=\frac{3}{13}.\frac{39}{54}+1\)
\(=\frac{1}{6}+1\)
\(=\frac{7}{6}\)
\(\frac{5}{6}-\frac{7}{9}.\frac{2}{13}-\frac{7}{9}.\frac{11}{13}+\frac{-2}{9}\)
\(=\frac{5}{6}-\frac{7}{9}.\left(\frac{2}{13}-\frac{11}{13}\right)+\frac{-2}{9}\)
\(=\frac{5}{6}-\frac{7}{9}.\frac{-9}{13}-\frac{2}{9}\)
\(=\frac{5}{6}-\frac{-7}{13}-\frac{2}{9}\)
\(\frac{5}{6}-\frac{7}{9}.\frac{2}{13}-\frac{7}{9}.\frac{11}{13}+\frac{-2}{9}\)
\(=\frac{5}{6}-\frac{7}{9}.\left(\frac{2}{13}-\frac{11}{13}\right)+\frac{-2}{9}\)
\(=\frac{5}{6}-\frac{7}{9}.\frac{-9}{13}-\frac{2}{9}\)
\(=\frac{5}{6}-\frac{-7}{13}-\frac{2}{9}\)
\(=\frac{5}{6}+\frac{7}{13}-\frac{2}{9}\)
\(=\frac{195+126-52}{234}\)
\(=\frac{269}{234}\)
13 tháng 7 2021
\(\frac{3}{13}.\frac{5}{9}+\frac{1}{6}:\frac{13}{3}+1\)
\(=\frac{3}{13}.\frac{5}{9}+\frac{1}{6}.\frac{3}{13}+1\)
\(=\frac{3}{13}.\left(\frac{5}{9}+\frac{1}{6}\right)+1\)
\(=\frac{3}{13}.\left(\frac{30+9}{54}\right)+1\)
\(=\frac{3}{13}.\frac{39}{54}+1\)
\(=\frac{1}{6}+1=\frac{1}{6}+\frac{6}{6}\)
\(=\frac{7}{6}\)
\(\frac{-7}{9}.\frac{2}{13}-\frac{7}{9}.\frac{11}{13}+\frac{-2}{9}\)
\(=\frac{-7}{9}.\frac{2}{13}+\frac{-7}{9}.\frac{11}{13}+\frac{-2}{9}\)
\(=\frac{-7}{9}.\left(\frac{2}{13}+\frac{11}{13}\right)+\frac{-2}{9}\)
\(=\frac{-7}{9}.1+\frac{-2}{9}\)
\(=\frac{-7}{9}+\frac{-2}{9}\)
\(=\frac{-9}{9}=-1\)
\(\frac{2}{13}.\frac{2}{7}.5\)
\(=\frac{2.2.5}{13.7}\)
\(=\frac{20}{91}\)
\(\frac{1}{5}.\frac{11}{12}.\frac{21}{6}\)
\(=\frac{11.21}{5.12.6}\)
\(=\frac{231}{360}=\frac{77}{120}\)
PH
1
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
1 tháng 12 2023
\(\dfrac{3^{11}.11+3^{11}.21}{3^9.2^5}\)
= \(\dfrac{3^{11}.\left(11+21\right)}{3^932}\)
= \(\dfrac{3^{11}32}{3^9.32}\)
= 32
= 9
23 tháng 7 2019
7x-3.4=196
7x-3=49
x-3=2
x= -1
2x+3+2x=36
2x.9=36
2x=4
x=2
(52x.5x+2):25=1255
53x+2=517
x=5
LD
1
8 tháng 10 2015
5.11x - 3 = 2 . 11x
<=> 5.11x - 2 . 11x= 3
<=> 11x. (5- 2) = 3
<=> 11x .3 = 3
<=> 11x = 1
<=> x = 0
[(2x - 4 ) + 9] 3 = 36
<=> [(2x - 4 ) + 9] 3 = (32)3
<=> (2x - 4 ) + 9 = 32
<=> (2x - 4 ) + 9 = 9
<=> 2x - 4 = 0
<=> 2x = 4
<=> x = 2