tính nhanh 2-1/6-5/6
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(10+20)+(2+8)+(4+6)=30+10+10
=50
1/3+1/6+4/3+2/6+2/3+5/6
=(1/3+4/3+2/3)+(1/6+2/6+5/6)
=7/3+8/6=7/3+4/3=11/3

a: \(=\dfrac{5}{14}\left(\dfrac{2}{9}+\dfrac{7}{9}+1\right)=\dfrac{5}{14}\cdot2=\dfrac{5}{7}\)
b: \(=\dfrac{6}{8}\left(\dfrac{6}{7}-6\right)=\dfrac{6}{8}\cdot\dfrac{-36}{7}=\dfrac{-216}{56}=\dfrac{-27}{7}\)

1 + 2 + 3 + 5 + 6 + 7 - 7 - 6 - 5 - 3 - 2 - 1
= ( 1 - 1 ) + ( 2 - 2 ) + ( 3 - 3 ) + ( 5 - 5 ) + ( 6 - 6 ) + ( 7 - 7 )
= 0
nha

= (1/7+7/1)+(2/6+6/2)+(3/5+5/3)+4/4
= 7/1/7+3/1/3+2/4/15+1
= 13/26/35

`1/7+5/6+4/7+3/6+2/7+4/6`
`=(1/7 + 4/7 + 2/7 )+(5/6 + 3/6 +4/6)`
`= 7/7 + 12/6`
`=1+2`
`=3`
`1/7+5/6+4/7+3/6+2/7+4/6`
`=(1/7+4/7+2/7)+(5/6+3/6+4/6)`
`=7/7+12/6`
`=1+2`
`=3`

a) 174 x 78 - 174 x 68
= 174 x (78-68)
= 174 x 10
= 1740
b) 1/3 +1/6 + 4/3 + 2/6 +2/3 + 5/6
= (1/3 + 2/3 + 4/3) + (1/6 + 2/6 + 5/6)
= 7/3 + 4/3
= 11/3

\(=\left(\frac{1}{6}+\frac{5}{6}\right)+\left(\frac{5}{9}+\frac{4}{9}\right)-2\)
\(=1+1-2\)
\(=0\)

6 2/7 + 7 3/5 + 8 6/9 + 9 1/4 + 2/5 + 5/7 + 1/3 x 3/4 + 1967
= 44/7 + 38/5 + 78/9 + 37/4 + 2/5 + 5/7 + 1/3 + 1967
= ( 44/7 + 5/7 ) + ( 38/5 + 2/5 ) + ( 26/3 + 1/3 ) + ( 37/4 + 3/4 ) +1967
= 7 + 8 + 9 + 10 + 1967
= 15 + 9 + 10 + 1967
= 24 + 10 + 1967
= 34 + 1967
= 2001

\(x\) \(\times\) \(\dfrac{1}{4}\) = 6 : 1 : 2
\(x\) \(\times\) \(\dfrac{1}{4}\) = 6:2
\(x\) \(\times\) \(\dfrac{1}{4}\) = 3
\(x\) = 3 : \(\dfrac{1}{4}\)
\(x\) = 12
Bước 1: Gộp hai phân số:
\(\frac{1}{6} + \frac{5}{6} = \frac{6}{6} = 1\)
Bước 2: Trừ phần nguyên:
\(2 - 1 = 1\)
Kết quả: \(\boxed{1}\)
2 - \(\frac16-\frac56\)
= 2 - (\(\frac16\) + \(\frac56\))
= 2 - 1
= 1