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21 tháng 10 2021

  \(\frac{2}{5}+\frac{3}{5}.\left|\frac{-5}{6}\right|-\left(1,75\right)^0\)

=\(\frac{2}{5}+\frac{3}{5}.\frac{5}{6}-1\)

=\(\frac{2}{5}+\frac{1}{2}-1\)

=\(\frac{4}{10}+\frac{5}{10}-\frac{10}{10}\)

=\(\frac{9}{10}-\frac{10}{10}\)

=\(\frac{-1}{10}\)

HQ
Hà Quang Minh
Giáo viên
8 tháng 10 2023

Ta có: \(\frac{8}{{13}} = \frac{{80}}{{130}}\); \(0,6 = \frac{6}{{10}} = \frac{{78}}{{130}}\)

Nên \(\frac{8}{{13}} > 0,6\)

Ta có: \(\frac{{ - 5}}{6} = \frac{{ - 20}}{{24}}\); \(\frac{{ - 4}}{3} = \frac{{ - 32}}{{24}}\); \( - 1,75 = \frac{{ - 175}}{{100}} = \frac{{ - 7}}{4} = \frac{{ - 42}}{{24}}\)

Nên: \(\frac{{ - 5}}{6}\)> \(\frac{{ - 4}}{3}\)> -1,75.

=> Sắp xếp: \(\frac{8}{{13}}\); 0,6; 0; \(\frac{{ - 5}}{6}\); \(\frac{{ - 4}}{3}\); -1,75

21 tháng 6 2022

Dấu "^" của cậu nghĩa là phân số?

\(a,-1,75-\left(-\dfrac{1}{9}-2\dfrac{1}{18}\right)=-\dfrac{7}{4}-\left(-\dfrac{2}{18}-\dfrac{37}{18}\right)=-\dfrac{7}{4}+\dfrac{13}{6}=\dfrac{5}{12}\)

\(b,-\dfrac{1}{12}-\left(2\dfrac{5}{8}-\dfrac{1}{3}\right)=-\dfrac{1}{12}-\dfrac{55}{24}=-\dfrac{19}{8}\)

\(c,-\dfrac{5}{6}-\left(-\dfrac{3}{8}+\dfrac{1}{30}\right)=-\dfrac{5}{6}+\dfrac{41}{120}=-\dfrac{59}{120}\)

 

a) Ta có: \(2\dfrac{3}{3}\cdot4\cdot\left(-0.4\right)+1\dfrac{3}{5}\cdot1.75+\left(-7.2\right):\dfrac{9}{11}\)

\(=-4.8+\dfrac{8}{5}\cdot\dfrac{7}{4}-\dfrac{36}{5}\cdot\dfrac{11}{9}\)

\(=\dfrac{-24}{5}+\dfrac{14}{5}-\dfrac{44}{5}\)

\(=\dfrac{-54}{5}\)

b) Ta có: \(\left(\dfrac{1}{24}-\dfrac{5}{16}\right):\dfrac{-3}{8}+1^{10}\cdot\left(-5\right)^0\)

\(=\left(\dfrac{2}{48}-\dfrac{15}{48}\right)\cdot\dfrac{8}{-3}+1\cdot1\)

\(=\dfrac{-13}{48}\cdot\dfrac{-8}{3}+1\)

\(=\dfrac{13}{18}+\dfrac{18}{18}=\dfrac{31}{18}\)

21 tháng 6 2015

x+1,75):0,12=1+2-3+4-5+6...+118-119+120

(x+1,75):0,12=1+(-1)+.......+(-1)+120

                        (60 số âm 1)

(x+1,75):0,12=1+(-60)+120

(x+1,75):0,12=-59+120

(x+1,75):0,12=61

(x+1,75)       =61x0,12

x+1,75         =7,32

x                 =7,32-1,75

x                 =5,57

16 tháng 5 2022

a.-1,75-(-\(\dfrac{1}{9}\)-2\(\dfrac{1}{8}\))
-1,75-\(\dfrac{1}{9}+\dfrac{17}{8}\)
\(-\dfrac{7}{4}-\dfrac{1}{9}+\dfrac{17}{8}\)
\(\dfrac{-126}{72}-\dfrac{8}{72}+\dfrac{153}{72}\)
=\(\dfrac{19}{72}\)

16 tháng 5 2022

b.\(\dfrac{-1}{12}-\left(2\dfrac{5}{8}-\dfrac{1}{3}\right)\)
\(\dfrac{-1}{12}-\left(\dfrac{21}{8}-\dfrac{1}{3}\right)\)
\(\dfrac{-1}{12}-\dfrac{21}{8}+\dfrac{1}{3}\)
\(\dfrac{-2}{24}-\dfrac{63}{24}+\dfrac{64}{24}\)
=\(\dfrac{-1}{24}\)

7 tháng 5 2017

Giải:

a) \(\left(-\dfrac{5}{28}+1,75+\dfrac{8}{35}\right):\left(\dfrac{-39}{20}\right)\)

\(=\left(-\dfrac{5}{28}+\dfrac{7}{4}+\dfrac{8}{35}\right):\left(\dfrac{-39}{20}\right)\)

\(=\left(\dfrac{11}{7}+\dfrac{8}{35}\right):\left(-\dfrac{39}{20}\right)\)

\(=\dfrac{9}{5}:\left(-\dfrac{39}{20}\right)\)

\(=\dfrac{9.\left(-20\right)}{5.39}\)

\(=\dfrac{3.\left(-4\right)}{1.13}\)

\(=\dfrac{-12}{13}\)

b) \(6\dfrac{5}{12}:2\dfrac{3}{4}+11\dfrac{1}{4}.\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\)

\(=\dfrac{77}{22}:\dfrac{11}{4}+\dfrac{42}{4}.\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\)

\(=\dfrac{77}{22}.\dfrac{4}{11}+\dfrac{42}{4}.\left(\dfrac{5}{15}+\dfrac{3}{15}\right)\)

\(=\dfrac{7}{3}+\dfrac{42}{4}.\dfrac{8}{15}\)

\(=\dfrac{7}{3}+\dfrac{14.2}{1.3}\)

\(=\dfrac{7}{3}+\dfrac{28}{3}\)

\(=\dfrac{35}{3}\)

c) \(70,5-528:\dfrac{15}{2}\)

\(=70,5-528.\dfrac{2}{15}\)

\(=70,5-\dfrac{1056}{15}\)

\(=70,5-70,4\)

\(=0,1\)