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27/8 - 7/3 + 4/3 - 2
= 27/8 - (7/3 - 4/3) - 2
= 27/8 - 1 - 2
=27/8 - 3
= 3/8
\(=14:\left(\frac{14}{3}-\frac{14}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\frac{28}{9}+14:\frac{14}{9}\)
\(=\frac{28}{9}+\frac{14}{9}\)
\(=\frac{42}{9}\)
\(14:\left(\frac{14}{3}-\frac{14}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{42}{9}-\frac{14}{9}\right)+14:\left(\frac{6}{9}+\frac{8}{9}\right)\)
\(=14:\frac{28}{9}+14:\frac{14}{9}\)
\(=14.\frac{9}{28}+14.\frac{9}{14}\)
\(=14.\left(\frac{9}{28}+\frac{9}{14}\right)\)
\(=14.\left(\frac{9}{28}+\frac{18}{28}\right)\)
\(=14.\frac{27}{28}\)
\(=\frac{378}{28}\)
\(=\frac{27}{2}\)
tính bằng cách thuận tiện : \(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}...+\frac{1}{128}+\frac{1}{256}\)
Dễ lắm bạn à :
Đặt \(A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+....+\frac{1}{128}+\frac{1}{256}\)
\(\Rightarrow2A=2\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+....+\frac{1}{128}+\frac{1}{256}\right)\)
\(\Leftrightarrow2A=2+1+\frac{1}{2}+\frac{1}{4}+....+\frac{1}{64}+\frac{1}{128}\)
\(\Leftrightarrow2A-A=2+1+\frac{1}{2}+\frac{1}{4}+....+\frac{1}{64}+\frac{1}{128}-\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+....+\frac{1}{128}+\frac{1}{256}\right)\)
\(\Leftrightarrow A=2-\frac{1}{256}=\frac{511}{256}\)
đặt A= 1+1/2+1/4+1/8+...+1/128+1/256
2A=2+1+1/2+1/4+...+1/64+1/128
2A-A=A=2-1/256=511/256
\(\frac{1}{8}\times58,35+0,125\times41+12,5\%\times0,65\)
\(=0,125\times58,35+0,125\times41+0,125\times0,65\)
\(=0,125\times\left(58,35+41+0,65\right)\)
\(=0,125\times100\)
\(=12,5\)
\(\frac{1}{8}\)x 58,35 + 0,125 x 41 + 12,5% x 0,65
= \(\frac{1}{8}\)x 58,35 + \(\frac{1}{8}\)x 41 + \(\frac{1}{8}\)x 0,65
= \(\frac{1}{8}\)x ( 58,35 + 41 + 0,65 )
= \(\frac{1}{8}\)x 100
= 12,5
\(=\left(15\frac{2}{3}+12\frac{1}{3}\right):3-\frac{8}{3}\)
\(=28:3-\frac{8}{3}\)
\(=\frac{28}{3}-\frac{8}{3}\)
\(=\frac{20}{3}\)
\(15\frac{2}{3}:3+12\frac{1}{3}:3-\frac{8}{3}\)
\(=\left(15\frac{2}{3}+12\frac{1}{3}\right):3-\frac{8}{3}\)
\(=28:3-\frac{8}{3}\)
\(\frac{28}{3}-\frac{8}{3}\)
\(\frac{20}{3}\)
\(ĐặtA=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\)
\(2A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(2A-A=\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\right)-\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\right)\)
\(A=1-\frac{1}{64}=\frac{63}{64}\)
a) \(\frac{8}{11}-\frac{28}{99}-\frac{14}{99}=\frac{72}{99}-\frac{28}{99}-\frac{14}{99}=\frac{30}{99}=\frac{10}{33}\)
b) \(5\frac{3}{4}-3\frac{1}{2}=\)\(\frac{23}{4}-\frac{7}{2}=\frac{23}{4}-\frac{14}{4}=\frac{9}{4}\)
A) 8/11- 28/99- 14/99 8/11=72/99 (72/99 +28/99)-14/99 =100/99-14/99 =86/99
7/9 - 3/7 + 2/3 - 4/7
= 7/9 + 2/3 - ( 4/7 + 3/7 )
= 13/9 - 1
= 4/9
8,12 x 6 + 16,24 x 4 - 4,06 x 8
= 8,12 x 6 + 8,12 x 2 x 4 - 8,12 : 2 x 8
= 8,12 x 6 + 8,12 x 8 - 8,12 x 4
= 8,12 x ( 6 + 8 - 4 )
= 8,12 x 10
81,2
Ủng hộ nhé ! Chúc bạn học giỏi !
7/9 - 3/7 + 2/3 - 4/7
= 7/9 + 2/3 - 3/7 - 4/7
= 7/9 + 2/3 - [ 3/7 + 4/7 ]
= 13/9 - 1
= 4/9
8,12 * 6 + 16,24 * 4 - 4,06 * 8
= 8,12 * 6 + 8,12 * 2 * 4 - 4,06 * 2 * 4
= 8,12 * 6 + 8,12 * 8 - 8,12 * 4
= 8,12 * [ 6 + 8 - 4 ]
= 8,12 * 10
= 81,2
CHÚC CÁC BẠN THÀNH CÔNG . Nhớ k cho mình nhiều nhiều nhé !
54,28 : 8 + 54,28 : 2 = 54,28 + ( 8 : 2 )
= 54,28 : 4
= 13,57
Ta có: 54,28:8+54,28:2
\(=54,28\times0,125+54,28\times0,5\)
\(=54,28\times\left(0,125+0,5\right)=54,28\times0,625=33,925\)
= 54,28 x 1/8 + 54,28 x 1/2
=54,28 x (1/8+1/2)
=54,28 x 5/8
= 33,925
Hc tốt!