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29 tháng 9 2022

\(\dfrac{3}{-21}+\dfrac{-2}{7}\)

\(=\dfrac{-1}{7}-\dfrac{2}{7}\)

\(=\dfrac{-3}{7}\)

29 tháng 9 2022

\(\dfrac{3}{-21}+\dfrac{-2}{7}=\dfrac{-1}{7}+\dfrac{-2}{7}=\dfrac{-3}{7}\)

AH
Akai Haruma
Giáo viên
13 tháng 8 2023

Lời giải:
$B=\frac{3}{2}-\frac{2}{21}-\frac{7}{12}+\frac{15}{21}-\frac{1}{3}+\frac{5}{4}-\frac{2}{7}-\frac{1}{3}$

$=(\frac{3}{2}+\frac{5}{4})+(\frac{-2}{21}+\frac{15}{21}+\frac{-2}{7})+(\frac{-7}{12}+\frac{-1}{3}+\frac{-1}{3})$

$=\frac{11}{4}+\frac{1}{3}-\frac{5}{4}=\frac{11}{6}$

26 tháng 10 2019

Mình làm câu này  các câu khác tương tự 

Mấu chốt làm bài này là đưa về thừa số nguyên tố

\(\frac{12^7.3^{35}.14^{21}}{9^{21}.7^{21}.2^{35}}=\frac{3^7.4^7.3^{35}.2^{21}.7^{21}}{3^{2.21}.7^{21}.2^{35}}=\frac{3^7.2^{2.7}.3^{35}.2^{21}.7^{21}}{3^{2.21}.7^{21}.2^{35}}=\frac{3^7.2^{14}.3^{35}.2^{21}.7^{21}}{3^{42}.7^{21}.2^{35}}=\frac{3^{42}.2^{35}.7^{21}}{3^{42}.7^{21}.2^{35}}=1\)

14 tháng 8 2023

\(B=\dfrac{3}{2}-\dfrac{2}{21}-\left\{\dfrac{7}{12}-\left[\dfrac{15}{21}-\left(\dfrac{1}{3}-\dfrac{5}{4}\right)-\left(\dfrac{2}{7}+\dfrac{1}{3}\right)\right]\right\}\)

\(B=\dfrac{3}{2}-\dfrac{2}{21}-\left\{\dfrac{7}{12}-\left[\dfrac{15}{21}-\left(-\dfrac{11}{12}\right)-\dfrac{13}{21}\right]\right\}\)

\(B=\dfrac{3}{2}-\dfrac{2}{21}-\left\{\dfrac{7}{12}-\dfrac{85}{84}\right\}\)

\(B=\dfrac{3}{2}-\dfrac{2}{21}-\left(-\dfrac{3}{7}\right)\)

\(B=\dfrac{11}{6}\)

\(=\dfrac{3}{2}-\dfrac{2}{21}-\dfrac{7}{12}+\left[\dfrac{15}{21}-\dfrac{1}{3}+\dfrac{5}{4}-\dfrac{2}{7}-\dfrac{1}{3}\right]\)

=11/12-2/21+5/7-2/3+5/4-2/7

=11/12-2/3+5/4-2/21+3/7

=11/12-8/12+15/12-2/21+9/21

=18/12+7/21

=3/2+1/3

=9/6+2/6=11/6

25 tháng 10 2023

\((\frac59-\frac37+21)-(2+\frac57-\frac29)-(\frac79-\frac87+9)\\=\frac59-\frac37+21-2-\frac57+\frac29-\frac79+\frac87-9\\=(\frac59+\frac29-\frac79)+(-\frac37-\frac57+\frac87)+(21-2-9)\\=21-2-9\\=19-9\\=10\)

\(\dfrac{15}{34}+\dfrac{7}{21}+\dfrac{19}{34}-\dfrac{3}{1}+\dfrac{7}{21}+2\)

\(=\left(\dfrac{15}{34}+\dfrac{19}{34}\right)+\left(\dfrac{7}{21}+\dfrac{7}{21}\right)-\left(3-2\right)\)

\(=1-1+\dfrac{14}{21}\)

\(=\dfrac{14}{21}\)

15 tháng 10 2017

\(\dfrac{15}{34}+\dfrac{7}{21}+\dfrac{19}{34}-3+\dfrac{7}{21}+2\)

= \(\dfrac{15}{34}+\dfrac{19}{34}+\dfrac{7}{21}+\dfrac{7}{21}-3+2\)

= \(\left(\dfrac{15}{34}+\dfrac{19}{34}\right)+\left(\dfrac{7}{21}+\dfrac{7}{21}\right)-\left(3-2\right)\)

= \(1+\dfrac{2}{3}-1\)

= \(1-1+\dfrac{2}{3}\)

= \(\dfrac{2}{3}\)

GOOD LUCK!

17 tháng 1 2020

b) \(\frac{\frac{2}{3}+\frac{5}{7}+\frac{4}{21}}{\frac{5}{6}+\frac{11}{7}-\frac{7}{21}}\)

\(=\frac{\frac{29}{21}+\frac{4}{21}}{\frac{101}{42}-\frac{7}{21}}\)

\(=\frac{\frac{11}{7}}{\frac{29}{14}}\)

\(=\frac{22}{29}.\)

Chúc bạn học tốt!

18 tháng 3 2020

\(2\frac{7}{19}-3\frac{5}{21}+7-\frac{7}{19}+2\frac{5}{21}\)

\(=2+\frac{7}{19}-3-\frac{5}{21}+7-\frac{7}{19}+2+\frac{5}{21}\)

\(=\left(2-3+7+2\right)+\left(\frac{7}{19}-\frac{7}{19}\right)+\left(\frac{5}{21}-\frac{5}{21}\right)\)

\(=2-3+7+2+0+0=8\)

19 tháng 3 2020

Cảm ơn !

7 tháng 6 2023

1/3+3/7+1/7*2+5/2*13+3/13*4+5/4*21

=1/3+3/7+1/14+5/26+3/52+5/84

=7/21+9/21+1/14+5/26+3/52+5/84

=16/21+1/14+5/26+3/52+5/84

=(16/21+1/14+5/84)+(5/26+3/52)

=(64/84+6/84+5/84)+(10/52+3/52)

=75/84+13/52

=25/28+1/4

=25/28+7/28

=32/28

=8/7