tính bằng cách thuận tiện
1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4
tính bằng cách thuận tiện
1/2:3/4+5/6:3/4-2/8:3/4
`1/2:3/4+5/6:3/4-2/8:3/4`
`=1/2 xx 4/3 + 5/6 xx 4/3 - 2/8 xx 4/3`
`=4/3 xx ( 1/2 + 5/6 - 2/8)`
`=4/3 xx ( 1/2 + 5/6 - 1/4 )`
`=4/3 xx ( 6/12 + 10/12 - 3/12)`
`=4/3 xx ( 16/12 - 3/12)`
`=4/3 xx 13/12`
`=13/9`
tính bằng cách thuận tiên nhất :
1/2 + 1/3 + 1/4 + 1/5 + 4/5 + 3/4 + 2/3 + 1/2
1/2 + 1/3 + 1/4 + 1/5 + 4/5 + 3/4 + 2/3 + 1/2
= (1/2 + 1/2) + (1/3 + 2/3) + (1/4 + 3/4) + (1/5 + 4/5)
= 1 + 1 + 1 + 1
= 4
\(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{4}{5}+\dfrac{3}{4}+\dfrac{2}{3}+\dfrac{1}{2}\)
\(=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)+\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\left(\dfrac{1}{4}+\dfrac{3}{4}\right)+\left(\dfrac{1}{5}+\dfrac{4}{5}\right)\)
=1+1+1+1
=4
=(12+12)+(13+23)+(14+34)+(15+45)=(12+12)+(13+23)+(14+34)+(15+45)
=(12+12)+(13+23)+(14+34)+(15+45)
=1+1+1+1
=4
Tính bằng cách thuận tiện nhất 1/2*1/2+1/2*1/3+1/3*1/4+1/4*1/5
= 3/2 + 2/3 + 2/4 + 2/5
= (6/4 + 2/4) + (2/3 + 2/5)
= 8/4 + 16/ 15
= 46/15
tính bằng cách thuận tiện nhất
1/2 + 1/3 +1/4 +1/5 +4/5 +3/4 + 2/3 + 1/2
1/2 + 1/3 + 1/4 + 1/5 + 4/5 + 3/4 + 2/3 + 1/2
= (1/2 + 1/2) + (1/3 + 2/3) + (1/4 + 3/4) + (1/5 + 4/5)
= 1 + 1 + 1 + 1
= 4
tính bằng cách thuận tiện nhất 3/4 + 1/2 + 1/4 + 3/2
Tính bằng cách thuận tiên nhất: a) 1/2+1/3+1)4+1)2+2)3+3/4. ; b) ( 3/4+5/7+16/64+2/7)-2
A = \(\dfrac{1}{2}\)+ \(\dfrac{1}{3}\)+ \(\dfrac{1}{4}\)+ \(\dfrac{1}{2}\)+ \(\dfrac{2}{3}\)+ \(\dfrac{3}{4}\)
A = ( \(\dfrac{1}{2}\)+ \(\dfrac{1}{2}\)) + ( \(\dfrac{1}{4}\)+\(\dfrac{3}{4}\)) +( \(\dfrac{1}{3}\)+ \(\dfrac{2}{3}\))
A = 1 + 1 + 1
A = 3
B = ( \(\dfrac{3}{4}\) + \(\dfrac{5}{7}\)+ \(\dfrac{16}{64}\)+ \(\dfrac{2}{7}\)) - 2
B = ( \(\dfrac{3}{4}\)+ \(\dfrac{1}{4}\)) + ( \(\dfrac{5}{7}\)+ \(\dfrac{2}{7}\)) - 2
B = 1 + 1 - 2
B = 2 - 2
B = 0
Tính bằng cách thuận tiện
1/1+2 + 1/1+2+3 + 1/1+2+3+4 + ... + 1/1+2+3+...+2014 + 1/1+2+...+2015
tính bằng cách thuận tiện
1/2*1/3+1/3*1/4+1/4*1/5+1/5*1/6
\(\frac{1}{2}\times\frac{1}{3}+\frac{1}{3}\times\frac{1}{4}+\frac{1}{4}\times\frac{1}{5}+\frac{1}{5}\times\frac{1}{6}\)
\(=\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+\frac{1}{5x6}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=\frac{1}{2}-\frac{1}{6}=\frac{2}{6}=\frac{1}{3}\)
\(\frac{1}{2}.\frac{1}{3}+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=\frac{1}{2}-\frac{1}{6}\)
\(=\frac{1}{3}\)
\(\frac{1}{2}×\frac{1}{3}+\frac{1}{3}×\frac{1}{4}+\frac{1}{4}×\frac{1}{5}+\frac{1}{5}×\frac{1}{6}\)
\(=\frac{1}{2×3}+\frac{1}{3×4}+\frac{1}{4×5}+\frac{1}{5×6}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=\frac{1}{2}-\frac{1}{6}\)
\(=\frac{3}{6}-\frac{1}{6}\)
\(=\frac{1}{3}\)
tính bằng cách thuận tiện nhất :1 và 1/2 *1 và 1/3*1 và 1/4 bằng ?