\(5\dfrac{3}{4}:3+2\dfrac{1}{4}\times\dfrac{1}{3}-\dfrac{1}{8}=\left(5\dfrac{3}{4}+2\dfrac{1}{4}\right)\times\dfrac{1}{3}-\dfrac{1}{8}\\ =8\times\dfrac{1}{3}-\dfrac{1}{8}=\dfrac{8}{3}-\dfrac{1}{8}=\dfrac{61}{24}\\ ----\\ \dfrac{3}{5}:\dfrac{5}{6}:\dfrac{6}{7}:\dfrac{7}{8}+\dfrac{2}{5}+\dfrac{23}{35}\\ =\dfrac{3}{5}\times\dfrac{6}{5}\times\dfrac{7}{6}\times\dfrac{8}{7}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{18}{25}\times\dfrac{4}{3}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{353}{175}\)

Tính bằng cách thuận tiện nhất 3/5 + 3/8 + 2/5 + 5/8 bằng

a, 23/4 : 3 + 9/4 x 1/3 - 3/8

=  7,8 + 12,22 - 3,8

= 20,02 - 3,8

  =16,22

b, 3/5 : 5/6 : 6/7 : 7/8 + 2/5 +23/35 

=3/5 x 6/5 x 7/6 x 8/7 + 2/5 + 23/35

a, 23/4 : 3 + 9/4 x 1/3 - 3/8= 7,8 + 12,22 - 3,8= 20,02 - 3,8 =16,22b, 3/5 : 5/6 : 6/7 : 7/8 + 2/5 +23/35 =3/5 x 6/5 x 7/6 x 8/7 + 2/5 + 23/35=24/25 + 2/5 + 23/35=1/5 x(24/5 + 2 +23/7)=1/5 x 353/35=353/175

a; 5\(\dfrac{3}{4}\) : 3 + 2\(\dfrac{1}{4}\).\(\dfrac{1}{3}\) - \(\dfrac{3}{8}\)

= \(\dfrac{23}{4}\) : 3 + \(\dfrac{9}{4}\).\(\dfrac{1}{3}\) - \(\dfrac{3}{8}\)

= \(\dfrac{23}{4}\) x \(\dfrac{1}{3}\) + \(\dfrac{3}{4}\) - \(\dfrac{3}{8}\)

= \(\dfrac{23}{12}\) + \(\dfrac{3}{4}\) - \(\dfrac{3}{8}\)

= \(\dfrac{46}{24}\) + \(\dfrac{18}{24}\) - \(\dfrac{9}{24}\)

= \(\dfrac{64}{24}\) - \(\dfrac{9}{24}\)

= \(\dfrac{55}{24}\)

Ta có : \(\frac{3}{5}:\frac{5}{6}:\frac{6}{7}:\frac{7}{8}+\frac{2}{5}+\frac{23}{25}\)

=           \(\frac{3}{5}.\frac{6}{5}.\frac{7}{6}.\frac{8}{7}+\frac{2}{5}+\frac{23}{25}\)

=           \(\frac{3.6.7.8}{5.5.6.7}+\frac{10}{25}+\frac{23}{25}\)

=            \(\frac{24}{25}+\frac{10}{25}+\frac{23}{25}\)

=              \(\frac{57}{25}\)

Lưu ý : dấu chấm là dấu nhân nhá

bạn có thể viết dấu nhân là chữ x cũng được mà

a: \(=5+\dfrac{1}{5}-\dfrac{2}{9}+\dfrac{2}{23}-\dfrac{3}{35}-\dfrac{5}{6}-8-\dfrac{2}{7}+\dfrac{1}{18}\)

\(=-3+\left(-\dfrac{2}{9}-\dfrac{5}{6}+\dfrac{1}{18}\right)+\left(\dfrac{1}{5}+\dfrac{2}{23}-\dfrac{3}{35}-\dfrac{2}{7}\right)\)

\(=-3+\dfrac{-12-45+1}{18}+\dfrac{7-10-3}{35}+\dfrac{2}{23}\)

\(=3-\dfrac{28}{9}+\dfrac{-6}{35}+\dfrac{2}{23}=\dfrac{-1417}{7245}\)