tính bằng cách thuận tiện a 127 + 246 + 273 + 354 B 1,58 + 3,04 + 6,96 + 3,42 C 1/2 + 1/3 + 1/5 + 1/6
Giải nhanh giùm mình nha, cảm ơn.
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Lời giải:
$2\times A=\frac{2}{1\times 3}+\frac{2}{3\times 5}+\frac{2}{5\times 7}+...+\frac{2}{19\times 21}$
$2\times A=\frac{3-1}{1\times 3}+\frac{5-3}{3\times 5}+\frac{7-5}{5\times 7}+...+\frac{21-19}{19\times 21}$
$=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+....+\frac{1}{19}-\frac{1}{21}$
$=1-\frac{1}{21}=\frac{20}{21}$
$\Rightarrow A=\frac{20}{21}: 2= \frac{10}{21}$
Trả lời
\(\frac{1}{2}:\frac{3}{4}+\frac{1}{6}:\frac{3}{4}\)
\(=\frac{1}{2}.\frac{4}{3}+\frac{1}{6}.\frac{4}{3}\)
\(=\frac{4}{3}.\left(\frac{1}{2}+\frac{1}{6}\right)\)
\(=\frac{4}{3}.\frac{2}{3}\)
\(=\frac{8}{9}\)
Bạn ơi cho mình hỏi là tại sao lại có \(\frac{4}{3}\)ạ
\(\frac{3}{4}x\frac{4}{5}:\frac{3}{5}x\frac{6}{7}:\frac{1}{7}x\frac{5}{6}\)\(=\)\(\frac{3}{4}x\frac{4}{5}x\frac{5}{3}x\frac{6}{7}x\frac{7}{1}x\frac{5}{6}\)\(=\)\(\frac{3x4x5x6x7x5}{4x5x3x7x1x6}\)\(=\)\(\frac{\left(3\right)x\left(4\right)x\left(5\right)x\left(6\right)x\left(7\right)x5}{\left(3\right)x\left(4\right)x\left(5\right)x\left(6\right)x\left(7\right)x1}\)\(=\)\(\frac{5}{1}\)\(=\)\(5\).
b) 13/17 : 8/3 - 5/17 : 8/3
= ( 13/17 - 5/17 ) : 8/3
= 7/17 * 3/8
=21/136
c) 1/6 + 1/12 + 1/20 + 1/20
= (1/6 + 1/12) + (1/20 + 1/20)
= (2/12 + 1/12) + (1/20 + 1/20)
= 3/12 + 2/20
= 1/4 +2/20
= 5/20 + 2/20
= 7/20
\(b)\frac{13}{17}\div\frac{8}{3}-\frac{5}{17}\div\frac{8}{3}\)
\(=\left(\frac{13}{17}-\frac{5}{17}\right)\div\frac{8}{3}\)
\(=\frac{8}{17}\div\frac{8}{3}\)
\(=\frac{3}{17}\)
\(c)\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{20}\)
\(=\left(\frac{2}{12}+\frac{1}{12}\right)+\left(\frac{1}{20}+\frac{1}{20}\right)\)
\(=\frac{1}{4}+\frac{2}{20}\)
\(=\frac{5}{20}+\frac{2}{20}=\frac{7}{20}\)
tính bằng cách thuận tiện nhất
3/4*4/5:3/5*6/7:1/7*5/6
các bạn giải rõ giúp mình nha
ai nhanh mình tick
3/4 x 4/5 : 3/5 x 6/7 : 1/7 x 5/6
= 3/4 x 4/5 x 5/3 x 6/7 x7/1 x 5/6
= 5
710 x 13,4 - 710 x 1,4 - 710 : 0,5
= 710 x 13,4 - 710 x 1,4 - 710 x 2
= 710 x ( 13,4 - 1,4 - 2 )
= 710 x 10
= 7100
710 x 13,4 - 710 x 1,4 - 710 : 0,5
= 710 x 13,4 - 710 x 1,4 - 710 x 2
= 710 x ( 13,4 - 1,4 - 2)
= 710 x ( 12 -2)
= 710 x 10
= 7 100
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12
= ( 1 + 12 ) + ( 2 + 11 ) + ( 3 + 10 ) + ( 4 + 9 ) + ( 5 + 8 ) + ( 6 + 7 )
= 13 + 13 + 13 + 13 + 13 + 13
= 13 x 6
= 78
sai thui
1.
\(a,\frac{1}{7}+\frac{3}{4}+\frac{2}{7}+\frac{4}{7}=\frac{1}{7}+\frac{2}{7}+\frac{4}{7}+\frac{3}{4}\)
\(=1+\frac{3}{4}=\frac{7}{4}.\)
\(b,\frac{4}{7}:\frac{2}{5}+\frac{3}{7}:\frac{2}{5}-\frac{7}{9}=\left(\frac{4}{7}+\frac{3}{7}\right):\frac{2}{5}-\frac{7}{9}\)
\(=1:\frac{2}{5}-\frac{7}{9}=\frac{5}{2}-\frac{7}{9}\)
\(=\frac{31}{18}.\)
a)3/4+(1/7+2/7+4/7)
=3/4+1
=7/4
b)2/5:(4/7+3/7)-7/9
=2/5:1-7/9
=2/5-7/9
=-17/45
a)
`127+246+273+354`
`=(127+273)+(246+354)`
`=400+600`
`=1000`
b)
`1,58+3,04+6,96+3,42`
`=(1,58+3,42)+(3,04+6,96)`
`=5+10`
`=15`
c)
`1/2+1/3+1/5+1/6`
`=(1/2+1/3+1/6)+1/5`
`=(3/6+2/6+1/6)+1/5`
`=6/6+1/5`
`=1+1/5`
`=5/5+1/5`
`=6/5`
a, 127 + 246 + 273 + 354
= ( 127 + 273) + ( 246 + 354)
= 400 + 600
= 1000
b, 1,58 + 3,04 + 6,96 + 3,42
= ( 1,58 + 3,42) + ( 3,04 + 6,96)
= 5 + 10
= 15
c, \(\dfrac{1}{2}\) + \(\dfrac{1}{3}\) + \(\dfrac{1}{5}\) + \(\dfrac{1}{6}\)
= ( \(\dfrac{1}{2}\) + \(\dfrac{1}{3}\) + \(\dfrac{1}{6}\)) + 0,2
= 1 + 0,2
= 1,2