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a) ( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ( 1 - 1/5 ) x ( 1 - 1/6 )
= 1/2 x 2/3 x 3/4 x 4/5 x 5/6
= \(\frac{1.2.3.4.5}{2.3.4.5.6}\)
= 1/6
a) \(\dfrac{5}{6};\dfrac{2}{3};\dfrac{1}{2}\)
b) \(2\dfrac{7}{8};1\dfrac{4}{5};1\dfrac{3}{4}\)
c) \(\dfrac{11}{12};\dfrac{5}{6};\dfrac{3}{8}\)
a)=(9/24+-18/24+14/24):5/6+1/2
=5/24:5/6+1/2
=1/4+1/2
=3/4
b)=5/4-(-1/20)
=5/4+1/20
=4/5
a: \(=\dfrac{15}{4}:\dfrac{2-7}{16}-\dfrac{5}{9}\cdot\left(\dfrac{3}{5}+\dfrac{4}{5}\right)\)
\(=\dfrac{15}{4}\cdot\dfrac{16}{-5}-\dfrac{5}{9}\cdot\dfrac{7}{5}\)
\(=\dfrac{-240}{20}-\dfrac{7}{9}=-12-\dfrac{7}{9}=\dfrac{-115}{9}\)
c: \(=\dfrac{1}{5}-\dfrac{7}{2}-\dfrac{3}{2}+\dfrac{5}{4}\)
\(=\dfrac{4+25}{20}-5=\dfrac{29}{20}-\dfrac{100}{20}=\dfrac{-71}{20}\)
d: \(=\dfrac{12}{17}\left(1-\dfrac{1}{15}-\dfrac{4}{5}+1\right)=\dfrac{12}{17}\cdot\dfrac{17}{15}=\dfrac{12}{15}=\dfrac{4}{5}\)
e: \(=\dfrac{2}{15}\cdot\dfrac{9}{8}-\dfrac{7}{4}\cdot\dfrac{9}{8}+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\left(\dfrac{2}{15}-\dfrac{7}{4}\right)+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\cdot\dfrac{8-105}{60}+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\cdot\dfrac{-97}{60}+\dfrac{25}{36}=\dfrac{-1619}{1440}\)
a,\(\frac{1}{6}-\frac{1}{4}+\frac{1}{12}\)
\(=\frac{2}{12}-\frac{3}{12}+\frac{1}{12}\)
\(=0\)
\(b,\frac{1}{2}-0.25+12\)
\(=\frac{1}{2}-\frac{1}{4}+\frac{12}{1}\)
\(=\frac{2}{4}-\frac{1}{4}+\frac{48}{4}\)
\(=49\)
c, \(-\frac{3}{8}+\left(\frac{1}{2}-\frac{3}{4}\right)\)
\(=-\frac{3}{8}+\left(\frac{4}{8}-\frac{6}{8}\right)\)
\(=-\frac{5}{8}\)
a, \(\dfrac{1}{4}\) - \(\dfrac{1}{6}\) + \(\dfrac{1}{12}\)
= \(\dfrac{3}{12}\) - \(\dfrac{2}{12}\) + \(\dfrac{1}{12}\)
= \(\dfrac{2}{12}\)
= \(\dfrac{1}{6}\)
b, \(\dfrac{3}{8}\) - ( \(\dfrac{3}{4}\) - \(\dfrac{1}{2}\))
= \(\dfrac{6}{16}\) - \(\dfrac{12}{16}\) + \(\dfrac{8}{16}\)
= \(\dfrac{2}{16}\)
= \(\dfrac{1}{8}\)
a) 1/4 - 1/6 = 1/12
= 3/12 - 2/12 + 1/12
=1/12 + 1/12
= 2/12
= 1/ 6
B) 3/8 - ( 3/4 - 1/2)
= 6/16 - (12 / 16 -8/16)
= 6/16 - 4 /16
= 2/16
=1/8