tính bằng 2 cách
a, (5/8-7/2):6/5
b, 4/7.(8/5+5/3)
c,7/2 :(8/5 -2/3)
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a: \(=\left(\dfrac{5}{8}-\dfrac{28}{8}\right)\cdot\dfrac{5}{6}=\dfrac{-23}{8}\cdot\dfrac{5}{6}=\dfrac{-115}{48}\)
b: \(=\dfrac{4}{7}\cdot\dfrac{24+25}{15}=\dfrac{4}{7}\cdot\dfrac{49}{15}=\dfrac{28}{15}\)
c: \(=\dfrac{7}{2}:\dfrac{24-10}{15}=\dfrac{7}{2}\cdot\dfrac{15}{14}=\dfrac{15}{4}\)
a: \(\frac23+\left(\frac57+\frac{-2}{3}\right)\)
\(=\frac23+\frac57-\frac23\)
\(=\frac57\)
b: \(\left(-\frac14+\frac58\right)+\frac{-3}{8}\)
\(=\frac{-2}{8}+\frac58+\frac{-3}{8}\)
=0
c: \(\frac75\cdot\frac{8}{19}+\frac75\cdot\frac{12}{19}-\frac75\cdot\frac{1}{19}\)
\(=\frac75\left(\frac{8}{19}+\frac{12}{19}-\frac{1}{19}\right)\)
\(=\frac75\cdot\frac{19}{19}=\frac75\)
d: \(6\frac{3}{10}-\left(3\frac47+2\frac{3}{10}\right)\)
\(=6+\frac{3}{10}-3-\frac47-2-\frac{3}{10}\)
\(=1-\frac47=\frac77-\frac47=\frac37\)
e: \(\left(31,12-5,97\right)-\left(-68,88+4,03\right)\)
=31,12-5,97+68,88-4,03
=100-10
=90
f: \(3,7\cdot\left(-10,56\right)+3,7\cdot110,56\)
\(=3,7\cdot\left(-10,56+110,56\right)\)
\(=3,7\cdot100=370\)
\(a,\dfrac{3}{2}\times\dfrac{4}{5}\times\dfrac{2}{3}\times\dfrac{15}{4}\\ =\dfrac{3\times4\times2\times15}{2\times5\times3\times4}\\ =\dfrac{3\times4\times2\times5\times3}{2\times5\times3\times4}\\ =3\)
\(b,\dfrac{6}{7}\times\dfrac{5}{8}\times\dfrac{7}{3}\times\dfrac{7}{6}\times\dfrac{8}{5}\\ =\dfrac{6\times5\times7\times7\times8}{7\times8\times3\times6\times5}\\ =\dfrac{7}{3}\)
a) \(\dfrac{3}{2}\times\dfrac{4}{5}\times\dfrac{2}{3}\times\dfrac{15}{4}\)
\(=\left(\dfrac{3}{2}\times\dfrac{2}{3}\right)\times\left(\dfrac{4}{5}\times\dfrac{15}{4}\right)\)
\(=1\times3\)
\(=3\)
b) \(\dfrac{6}{7}\times\dfrac{5}{8}\times\dfrac{7}{3}\times\dfrac{7}{6}\times\dfrac{8}{5}\)
\(=\left(\dfrac{6}{7}\times\dfrac{7}{6}\right)\times\left(\dfrac{5}{8}\times\dfrac{8}{5}\right)\times\dfrac{7}{3}\)
\(=1\times1\times\dfrac{7}{3}\)
\(=\dfrac{7}{3}\)
Chúc bạn học tốt
a, (6/11+5/11)x3/17
c1:=1x3/17
=3/17
c2:=6/11x3/17+5/11x3/17
=18/197+15/187
=33/187
=3/17
b,3/5x7/9-3/5x2/9
c1:=21/45-6/45
=15/45
=1/3
c2:=3/5x(7/9-2/9)
=3/5x5/9
=1/3
c,( 6/7-4/7):2/5
c1:=2/7:2/5
=2/7x5/2
=5/7
c2,6/7:2/5-4/7:2/5
=6/7x5/2-4/7x5/2
=15/7-10/7
=5/7
d,8/15:2/11+7/15:2/11
c1:=(8/15+7/15):2/11
=1x11/2
=11/2
c2:=8/15x11/2+7/15x11/2
=88/30+77/30
=165/30
=11/2
a) (\(\frac{6}{11}\) + \(\frac{5}{11}\)) x \(\frac{3}{17}\)= \(\frac{11}{11}\) x \(\frac{3}{17}\)= \(1\) x\(\frac{3}{17}\)= \(\frac{3}{17}\)
b) \(\frac{3}{5}\)x\(\frac{7}{9}\)- \(\frac{3}{5}\)x \(\frac{2}{9}\) = \(\frac{3}{5}\)x (\(\frac{7}{9}\)- \(\frac{2}{9}\))= \(\frac{3}{5}\) x \(\frac{5}{9}\)= \(\frac{3}{9}\)
c) (\(\frac{6}{7}\)- \(\frac{4}{7}\)) : \(\frac{2}{5}\)= \(\frac{2}{7}\) x \(\frac{5}{2}\)= \(\frac{5}{7}\)
d) \(\frac{8}{15}\) : \(\frac{2}{11}\) + \(\frac{7}{15}\): \(\frac{2}{11}\)= ( \(\frac{8}{15}\)+ \(\frac{7}{15}\)) x \(\frac{11}{2}\)= 1 x \(\frac{11}{2}\)= \(\frac{11}{2}\)
Chúc học tốt nha!
a: Cách 1: \(\left(\frac58-\frac72\right):\frac65\)
\(=\left(\frac58-\frac{28}{8}\right):\frac65\)
\(=-\frac{23}{8}\cdot\frac56=\frac{-115}{48}\)
Cách 2: \(\left(\frac58-\frac72\right):\frac65\)
\(=\left(\frac58-\frac72\right)\cdot\frac56\)
\(=\frac58\cdot\frac56-\frac72\cdot\frac56\)
\(=\frac{25}{48}-\frac{35}{12}\)
\(=\frac{25}{48}-\frac{140}{48}=\frac{-115}{48}\)
b: Cách 1: \(\frac47\left(\frac85+\frac53\right)\)
\(=\frac47\cdot\frac85+\frac47\cdot\frac53\)
\(=\frac{32}{35}+\frac{20}{21}\)
\(=\frac{96}{105}+\frac{100}{105}=\frac{196}{105}=\frac{28}{15}\)
Cách 2: \(\frac47\left(\frac85+\frac53\right)\)
\(=\frac47\left(\frac{24}{15}+\frac{25}{15}\right)\)
\(=\frac47\cdot\frac{49}{15}\)
\(=\frac{49}{7}\cdot\frac{4}{15}=7\cdot\frac{4}{15}=\frac{28}{15}\)
c: Cách 1: \(\frac72:\left(\frac85-\frac23\right)\)
\(=\frac72:\left(\frac{24}{15}-\frac{10}{15}\right)\)
\(=\frac72:\frac{14}{15}=\frac72\cdot\frac{15}{14}=\frac{15}{2\cdot2}=\frac{15}{4}\)