\(\frac{2}{3}\times\frac{4}{5}+\frac{4}{5}\times\frac{1}{2}+\frac{4}{5}\times\frac{1}{6}\)

\(=\left(\frac{2}{3}+\frac{1}{2}+\frac{1}{6}\right)\times\frac{4}{5}\)

\(=\frac{4}{3}\times\frac{4}{5}\)

\(=\frac{16}{15}\)

a )  \(-\frac{3}{7}.\frac{3}{11}+-\frac{3}{7}.\frac{8}{11}+1\frac{3}{7}\)

\(=-\frac{3}{7}.\left(\frac{3}{11}+\frac{8}{11}\right)+\frac{10}{7}\)

\(=-\frac{3}{7}.\frac{11}{11}+\frac{10}{7}\)

\(=-\frac{3}{7}.1+\frac{10}{7}\)

\(=\frac{10}{7}\)

b )   \(75\%.10,5=\frac{3}{4}.10,5=7,875\)

c )  \(5-3.\left(\left|-4\right|-30:15\right)\)

\(=5-3.\left(4-2\right)\)

\(=5-3.2\)

\(=5-6\)

\(=-1\)

d )  \(-\frac{5}{7}.\frac{2}{11}+-\frac{5}{7}.\frac{9}{11}+1\frac{5}{7}\)

\(=-\frac{5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{12}{7}\)

\(=-\frac{5}{7}.1+\frac{12}{7}\)

\(=\frac{7}{7}\)

\(=1\)

Chúc bạn học tốt !!! 

Giải giùm tớ (-209)-401+12

\(\frac{7}{3}\)+ \(\frac{11}{2}\)- \(\frac{1}{5}\)= \(\frac{70}{30}\)+ \(\frac{165}{30}\)- \(\frac{6}{30}\)

                                 = \(\frac{235}{30}\)- \(\frac{6}{30}\)

                                = \(\frac{229}{30}\)

\(\frac{11}{4}\)x \(\frac{2}{33}\)- \(\frac{1}{40}\)= \(\frac{22}{132}\)- \(\frac{1}{40}\)

                                   = \(\frac{17}{120}\)

a,=70/30+165/30+6/30

=70+165+6/30

=241/30

b,=22/132-1/40

=1/6-1/40

=17/120

5) Ta có: \(\dfrac{\left(5\sqrt{3}+\sqrt{50}\right)\left(5-\sqrt{24}\right)}{\sqrt{75}-5\sqrt{2}}\)

\(=\dfrac{5\left(\sqrt{3}+\sqrt{2}\right)\left(\sqrt{3}-\sqrt{2}\right)^2}{5\left(\sqrt{3}-\sqrt{2}\right)}\)

=1

10/11+9/10 = 199/110

15/30+7/30 = 11/15

1/2+1/3 = 5/6

3/5+11/15 = 4/3

3/4+1/6 = 11/12

5/11+4/11 = 9/11

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