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`a, 2/7 +(3/7 + 5/7)= 2/7 + 3/7 + 5/7=(2/7 +5/7)+3/7= 1+3/7=7/7+3/7=10/7`
`b, (6/11+5/11)+4/11= 11/11+4/11=15/11`
`c, (5/6 + 7/6)+2/6= 12/6 + 2/6= 14/6= 7/3`
`@ yl`
\(a\) \(\dfrac{2}{7}+\left(\dfrac{3}{7}+\dfrac{5}{7}\right)=\dfrac{2}{7}+\dfrac{8}{7}=\dfrac{10}{7}\)
\(b\) \(\left(\dfrac{6}{11}+\dfrac{5}{11}\right)+\dfrac{4}{11}=\dfrac{11}{11}+\dfrac{4}{11}=\dfrac{15}{11}\)
\(c\) \(\left(\dfrac{5}{6}+\dfrac{7}{6}\right)+\dfrac{2}{6}=\dfrac{12}{6}+\dfrac{2}{6}=\dfrac{14}{6}=\dfrac{7}{3}\)
5km2 400m2 = 5400m2
18000000m2 = 18km2
\(\dfrac{5}{4}< \dfrac{3}{4}\)
\(\dfrac{5}{6}< \dfrac{6}{5}\)
\(\dfrac{6}{8}=\dfrac{3}{4}\)
\(\dfrac{7}{3}>\dfrac{7}{5}\)
\(\dfrac{4}{6}=\dfrac{2}{3}\)
\(\dfrac{5}{15}=\dfrac{1}{3}\)
\(\dfrac{7}{14}=\dfrac{1}{2}\)
\(\dfrac{6}{24}=\dfrac{1}{4}\)
a\()\) 1/2 x 2/3 : 5/6 x 5/6
=2/6 : 35/36
=1/3 x 36/35
=36/105=12/35
b\()\)11x15x56/6x35x38
=165x56/6x35x38
=9240/6x35x38
=1540x35x38
=53900x38
=2,048,200
c\()\) 2/7 x 7/5 + 2/7 - 2/7 x 6/5
=2/7x\(\left(\dfrac{7}{5}-\dfrac{2}{7}\right)\)+2/7
=2/7 x 39/35 + 2/7
=2/7 x \(\left(\dfrac{39}{35}+1\right)\)
=2/7 x 74
=148/7
a) \(1678\cdot24+77\cdot1678-1678=1678\left(24+77-1\right)=167800\)
b) Ta có: \(\dfrac{2}{5}+\dfrac{4}{11}+\dfrac{3}{5}+\dfrac{18}{11}+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=\left(\dfrac{2}{5}+\dfrac{3}{5}\right)+\left(\dfrac{4}{11}+\dfrac{18}{11}\right)+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=3+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=\dfrac{36}{12}+\dfrac{3}{12}+\dfrac{2}{12}=\dfrac{41}{12}\)
5/1 : 6/7
= 5/1 x 7/6
= 35/6
\(=\dfrac{5x7}{6}=\dfrac{35}{6}\)