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\(\dfrac{6}{25}+\dfrac{3}{5}=\dfrac{6}{25}+\dfrac{15}{25}=\dfrac{21}{25}\)
\(\dfrac{8}{3}-\dfrac{3}{9}=\dfrac{24}{9}-\dfrac{3}{9}=\dfrac{21}{9}=\dfrac{7}{3}\)
\(\dfrac{1}{2}:4=\dfrac{1}{2}\times\dfrac{1}{4}=\dfrac{1}{8}\)
\(\dfrac{3}{2}\times\left(\dfrac{4}{8}+\dfrac{5}{2}\right)=\dfrac{3}{2}\times3=\dfrac{9}{2}\)
`9/2xx7/3-4/3xx9/2`
`=9/2xx(7/3-4/3)`
`=9/2xx3/3`
`=9/2xx1`
`=9/2`
a) Cách 1 : (3/4 + 1/2) x 5/7
= 5/4 x 5/7
= 25/28
Cách 2 : (3/4 + 1/2) x 5/7
= 3/4 x 5/7 + 1/2 x 5/7
= 15/28 + 5/14
= 25/28
b) Cách 1 : 5/7 x 13/21 + 2/7 x 13/21
= 65/147 + 26/147
= 13/21
Cách 2 : 5/7 x 13/21 + 2/7 x 13/21
= (5/7 + 2/7) x 13/21
= 1 x 13/21
= 13/21
câu c tự làm
A = 4\(\dfrac{1}{3}\) + 3\(\dfrac{3}{4}\) + 2 - \(\dfrac{2}{5}\) + 8 - \(\dfrac{3}{5}\) + 7 - \(\dfrac{1}{4}\) + 6 - \(\dfrac{2}{3}\)
A = \(\dfrac{13}{3}\) + \(\dfrac{15}{4}\) + ( 2 + 8 + 6 + 7) - ( \(\dfrac{2}{5}\) + \(\dfrac{3}{5}\)) - \(\dfrac{1}{4}\) - \(\dfrac{2}{3}\)
A = \(\dfrac{13}{3}\) + \(\dfrac{15}{4}\) + 23 - 1 - \(\dfrac{1}{4}\) - \(\dfrac{2}{3}\)
A = ( \(\dfrac{13}{3}\) - \(\dfrac{2}{3}\)) + 22 +( \(\dfrac{15}{4}\) - \(\dfrac{1}{4}\) )
A = \(\dfrac{11}{3}\) + 22 + \(\dfrac{14}{4}\)
A = \(\dfrac{11}{3}\) + 22 + \(\dfrac{7}{2}\)
A = \(\dfrac{22}{6}\) + \(\dfrac{132}{6}\) + \(\dfrac{21}{6}\)
A = \(\dfrac{175}{6}\)
Cách 1:
Xét số bị trừ, ta có:
(2/3 + 3/4 + 4/5 + ... + 2016/2017) x (1/2 + 2/3 + 3/4 + ... + 2015/2016)
= (2/3 + 3/4 + 4/5 + ... + 2015/2016 + 2016/2017) x (1/2 + 2/3 + 3/4 + ... + 2015/2016)
= (2/3 + 3/4 + 4/5 + ... + 2015/2016) x (1/2 + 2/3 + 3/4 + ... + 2015/2016) + 2016/2017 x (1/2 + 2/3 + 3/4 + ... + 2015/2016)
Xét số trừ, ta có:
(1/2 + 2/3 + 3/4 + ... + 2016/2017) x (2/3 + 3/4 + 4/5 + ... + 2015/2016)
= (1/2 + 2/3 + 3/4 + ... + 2015/2016 + 2016/2017) x (2/3 + 3/4 + 4/5 + ... + 2015/2016)
= (1/2 + 2/3 + 3/4 + ... + 2015/2016) x (2/3 + 3/4 + 4/5 + ... + 2015/2016) + 2016/2017 x (2/3 +3/4 + 4/5 + ... + 2015/2016) =
Ta thấy số bị trừ và số trừ có số hạng giống nhau là:
(2/3 +3/4 + 4/5 + ... + 2015/2016) x (1/2 + 2/3 + 3/4 + ... + 2015/2016)
Nên phép trừ trên có thể viết lại:
2016/2017 x (1/2 + 2/3 + 3/4 + ... + 2015/2016) - 2016/2017 x (2/3 + 3/4 + 4/5 + ... + 2015/2016)
= 2016/2017 x [(1/2 + 2/3 + 3/4 + ... + 2015/2016) - (2/3 +3/4 + 4/5 + ... + 2015/2016)]
= 2016/2017 x 1/2
= 1008/2017
Cách 2:
8/15+2/3=18/15=6/5 3/8+4/8=7/8 tính thuận tiện: 3/2+2/3+4/3=3/2+(2/3+4/3)=3/2+2=7/2 3/5+7/5+3/4=(3/5+7/5)+3/4=2+3/4=11/4 hình như cái đầu tiên chép sai đề????????????????
`18/27-8/27`
`=10/27`
`4/7xx2/5`
`=8/35`
`3/4:2/7`
`=3/4xx7/2`
`=21/8`
\(\dfrac{3}{4}:2=\dfrac{3}{4}\times\dfrac{1}{2}=\dfrac{3}{8}\)
3/4:2=0,735