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12 tháng 7 2016

\(\frac{5}{12}-\frac{7}{32}:\frac{21}{6}\)

\(=\frac{5}{12}-\frac{7}{32}.\frac{6}{21}\)

\(=\frac{5}{12}-\frac{1}{16}\)

\(=\frac{\left(5.16\right)-\left(12.1\right)}{12.16}\)

\(=\frac{80-12}{192}\)

\(=\frac{68}{192}=\frac{17}{48}\)

22 tháng 2 2021

\(\frac{5}{12}-\frac{7}{32}:\frac{21}{6}\)

\(=\frac{5}{12}-\frac{1}{16}\)

\(=\frac{17}{48}\)

23 tháng 1 2020

                                                                Bài giải

a, \(\frac{4}{5}-\frac{2}{3}+\frac{1}{5}-\frac{1}{3}\)

\(=\left(\frac{4}{5}+\frac{1}{5}\right)-\left(\frac{2}{3}+\frac{1}{3}\right)=1-1=0\)

b, \(\frac{2}{5}\text{ x }\frac{7}{4}-\frac{2}{5}\text{ x }\frac{3}{7}\)

\(=\frac{2}{5}\text{ x }\left(\frac{7}{4}-\frac{3}{7}\right)=\frac{2}{5}\text{ x }\frac{37}{28}=\frac{37}{70}\)

c, \(\frac{13}{4}\text{ x }\frac{2}{3}\text{ x }\frac{4}{13}\text{ x }\frac{3}{12}=\frac{13\text{ x }2\text{ x }4\text{ x }3}{4\text{ x }3\text{ x }13\text{ x }12}=\frac{1}{6}\)

d,  \(\frac{75}{100}+\frac{18}{21}+\frac{19}{32}+\frac{1}{4}+\frac{3}{21}+\frac{13}{32}\)

\(=\frac{3}{4}+\frac{18}{21}+\frac{19}{32}+\frac{1}{4}+\frac{3}{21}+\frac{13}{32}\)

\(=\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{18}{21}+\frac{3}{21}\right)+\left(\frac{19}{32}+\frac{13}{32}\right)\)

\(=1+1+1\)

\(=3\)

e, \(\frac{2}{5}+\frac{6}{9}+\frac{3}{4}+\frac{3}{5}+\frac{1}{3}+\frac{1}{4}\)

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

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

\(=\frac{1}{5}\cdot5+\frac{1}{3}\cdot3+\frac{1}{4}\cdot4\)

\(=1+1+1\)

\(=3\)

23 tháng 1 2020

a, \(\frac{4}{5}-\frac{2}{3}+\frac{1}{5}-\frac{1}{3}\)

\(=\left(\frac{4}{5}+\frac{1}{5}\right)-\left(\frac{2}{3}+\frac{1}{3}\right)=1-1=0\)

b, \(\frac{2}{5}\text{ x }\frac{7}{4}-\frac{2}{5}\text{ x }\frac{3}{7}\)

\(=\frac{2}{5}\text{ x }\left(\frac{7}{4}-\frac{3}{7}\right)=\frac{2}{5}\text{ x }\frac{37}{28}=\frac{37}{70}\)

c, \(\frac{13}{4}\text{ x }\frac{2}{3}\text{ x }\frac{4}{13}\text{ x }\frac{3}{12}=\frac{13\text{ x }2\text{ x }4\text{ x }3}{4\text{ x }3\text{ x }13\text{ x }12}=\frac{1}{6}\)

d,  \(\frac{75}{100}+\frac{18}{21}+\frac{19}{32}+\frac{1}{4}+\frac{3}{21}+\frac{13}{32}\)

\(=\frac{3}{4}+\frac{18}{21}+\frac{19}{32}+\frac{1}{4}+\frac{3}{21}+\frac{13}{32}\)

\(=\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{18}{21}+\frac{3}{21}\right)+\left(\frac{19}{32}+\frac{13}{32}\right)\)

\(=1+1+1\)

\(=3\)

e, \(\frac{2}{5}+\frac{6}{9}+\frac{3}{4}+\frac{3}{5}+\frac{1}{3}+\frac{1}{4}\)

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

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

\(=\frac{1}{5}\cdot5+\frac{1}{3}\cdot3+\frac{1}{4}\cdot4\)

\(=1+1+1\)

\(=3\)

3 tháng 5 2016

\(\frac{5}{12}-\frac{7}{32}:\frac{21}{16}\)

=\(\frac{5}{12}-\frac{7}{32}.\frac{16}{21}\)

=\(\frac{5}{12}-\frac{1}{6}\)

=\(\frac{5}{12}-\frac{2}{12}\)

=\(\frac{1}{4}\)

9 tháng 5 2018

\(a)\frac{2}{5}+\frac{3}{10}-\frac{1}{2}\)

\(=\frac{4}{10}+\frac{3}{10}-\frac{5}{10}=\frac{1}{5}\)

\(b)\frac{8}{11}+\frac{8}{33}.\frac{3}{4}\)

\(=\frac{8}{11}+\frac{2}{11}=\frac{10}{11}\)

\(c)\frac{7}{9}.\frac{3}{14}:\frac{5}{8}\)

\(=\frac{1}{6}:\frac{5}{8}=\frac{4}{15}\)

\(d)\frac{5}{12}-\frac{7}{32}:\frac{21}{16}\)

\(=\frac{5}{12}-\frac{1}{6}=\frac{5}{12}-\frac{2}{12}=\frac{1}{4}\)

9 tháng 5 2018

2/5 + 3/10 - 1/2

= 4/10 + 3/10 -5/10

=2/10

=1/5.

8/11 + 8/33 *3/4

=8/11 + 2/11

=10/11

7/9 *3/14 : 5/8

=1/3 *1/2 : 5/8

=1/6: 5/8

=1/3 * 4/5

=4/15

5/12 - 7/32 : 21/16

=5/12 - 1/6

=5/12 - 2/12

=1/4

18 tháng 5 2016

5/12 -7/32 :21/16

\(=\frac{5}{12}-\frac{1}{6}\)

\(=\frac{1}{4}\)

18 tháng 5 2016

5/12 - 7/32 : 21/16 = 5/12 - 112/672

                            = 280/672 - 112/672

                            =   168/672 = 1/4

20 tháng 5 2015

7/9 x 3/14 : 5/8 = 1/6 : 5/8 = 4/15

5/12 - 7/32 : 21/16 = 5/12 - 1/6 = 1/4

\(=\dfrac{5}{12}-\dfrac{7}{32}\cdot\dfrac{16}{21}=\dfrac{5}{12}-\dfrac{1}{6}=\dfrac{5}{12}-\dfrac{2}{12}=\dfrac{1}{4}\)

19 tháng 3 2022

\(\dfrac{5}{12}-\dfrac{7}{32}:\dfrac{21}{16}=\dfrac{5}{12}-\dfrac{7}{32}\times\dfrac{16}{21}=\dfrac{5}{12}-\dfrac{1}{6}=\dfrac{5}{12}-\dfrac{2}{12}=\dfrac{3}{12}=\dfrac{1}{4}\)

20 tháng 8 2015

\(\frac{7}{9}+\frac{6}{7}\times\frac{4}{5}=\frac{7}{9}+\frac{24}{35}=\frac{361}{315}\)

\(\frac{21}{23}+\frac{4}{5}:\frac{6}{8}=\frac{21}{23}+\frac{16}{15}=\frac{548}{345}\)

\(\frac{5}{8}\times\frac{4}{9}:\frac{2}{3}=\frac{5}{18}:\frac{2}{3}=\frac{5}{12}\)

\(\frac{7}{12}+\frac{5}{6}-\frac{21}{24}=\frac{14}{24}+\frac{20}{24}-\frac{21}{24}=\frac{11}{24}\)

20 tháng 8 2015

b, 

    \(\frac{21}{23}+\frac{4}{5}:\frac{6}{8}=\frac{21}{23}+\frac{4}{5}.\frac{8}{6}=\frac{21}{23}+\frac{16}{15}=1\frac{338}{345}\)

c,

    \(\frac{5}{8}.\frac{4}{9}.\frac{3}{2}=\frac{5}{12}\)

d,

    \(\frac{7}{12}+\frac{5}{6}-\frac{21}{24}=\frac{14}{24}+\frac{20}{24}-\frac{21}{24}=\frac{13}{24}\)

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