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25 tháng 1 2019

\(A=\frac{21}{31}+\frac{-16}{7}+\frac{44}{53}+\frac{10}{21}+\frac{9}{53} \)

\(A=\left(\frac{16}{7}+\frac{10}{21}\right)+\left(\frac{44}{53}+\frac{9}{53}\right)+\frac{21}{31}\)

\(A=\frac{58}{21}+1+\frac{21}{31}\)

\(A=\frac{100}{21}\)

\(B=6\left(\frac{1}{15.18}+\frac{1}{18.21}+...+\frac{1}{87.90}\right)\)

\(B=6\left(\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+...+\frac{1}{87}-\frac{1}{90}\right)\)

\(B=6\left(\frac{1}{15}-\frac{1}{90}\right)\)

\(B=6.\frac{1}{18}\)

\(B=\frac{1}{3}\)

18 tháng 1 2018

\(\left(\frac{3}{4}+\frac{2}{11}-\frac{8}{13}\right)+\left(\frac{1}{4}-\frac{5}{13}\right)\)

\(=\frac{3}{4}+\frac{2}{11}-\frac{8}{13}+\frac{1}{4}-\frac{5}{13}\)

\(=\left(\frac{3}{4}+\frac{1}{4}\right)+\frac{2}{11}-\left(\frac{8}{13}+\frac{5}{13}\right)\)

\(=1+\frac{2}{11}-1\)

\(=\frac{2}{11}\)

\(\left(\frac{9}{53}+\frac{21}{31}\right)+\left(\frac{44}{53}-\frac{16}{7}\right)+\frac{10}{31}\)

\(=\frac{9}{53}+\frac{21}{31}+\frac{44}{53}-\frac{16}{7}+\frac{10}{31}\)

\(=\left(\frac{9}{53}+\frac{44}{53}\right)+\left(\frac{21}{31}+\frac{10}{31}\right)-\frac{16}{7}\)

\(=1+1-\frac{16}{7}\)

\(=2-\frac{16}{7}\)

\(=\frac{14}{7}-\frac{16}{7}\)

\(=\frac{-2}{7}\)

5 tháng 5 2018

\(\left(\frac{21}{31}+\frac{2013}{6039}\right)-\left(\frac{44}{53}-\frac{10}{31}\right)-\frac{9}{53}\)

\(=\frac{21}{31}+\frac{1}{3}-\frac{44}{53}+\frac{10}{31}-\frac{9}{53}\)

\(=\left(\frac{21}{31}+\frac{10}{31}\right)+\left(\frac{-44}{53}-\frac{9}{53}\right)+\frac{1}{3}\)

\(=1+\left(-1\right)+\frac{1}{3}\)

\(=\frac{1}{3}\)

19 tháng 1 2022

\(\left(\dfrac{21}{31}+\dfrac{-16}{7}\right)+\left(\dfrac{44}{53}+\dfrac{10}{31}\right)+\dfrac{9}{53}.\)

\(\dfrac{21}{31}-\dfrac{16}{7}+\dfrac{44}{53}+\dfrac{10}{31}+\dfrac{9}{53}=\left(\dfrac{21}{31}+\dfrac{10}{31}\right)+\left(\dfrac{44}{53}+\dfrac{9}{53}\right)-\dfrac{16}{7}=1+1-\dfrac{16}{7}=\dfrac{-2}{7}.\)

10 tháng 3 2018

Bài 1: Ta chỉ cần bỏ ngoặc rồi cộng hai phân số để ra kết quả là số tự nhiên là xong

Bài 2:

A = \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+............+\frac{1}{2003.2004}\)

A = \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-.............-\frac{1}{2003}+\frac{1}{2003}-\frac{1}{2004}\)

A = \(1-\frac{1}{2004}\)

A = \(\frac{2004}{2004}-\frac{1}{2004}=\frac{2003}{2004}\)

10 tháng 3 2018

Mk làm mẫu 1 bài nha 

Bài 1 :

a, = (1/4+3/4) - (5/13+8/13)+2/11

    = 1 - 1 + 2/11

    = 2/11

Tk mk nha

15 tháng 7 2015

a)1050 : 15 - 150 : 15 + 150 : 19 + 1940

=(1050 : 15 +1940) +(-150 : 15 + 150 :19 )

=(1050 : 15 +29100 : 15) - 150 : ( 15 -19 )

=(1050 + 29100) : 15 - 150 :(-4)

=30150 :15 +37,5

=2010 +37,5

=2047,5

b)53.39 + 47.39 - 53.21 - 47.21

=39(53 + 47) - 21(53 + 47)

=100(39-21)

=100.18

=1800

c)2.53.12 + 4.6.87

=24.53 + 24.87

=24(53 + 87)

=24.140

=3360

15 tháng 9 2016

a)1050 : 15 - 150 : 15 + 150 : 19 + 1940

= (1050 : 15 +1940) +(-150 : 15 + 150 :19 )

= (1050 : 15 +29100 : 15) - 150 : ( 15 -19 )

= (1050 + 29100) : 15 - 150 :(-4)

=30150 :15 +37,5

=2010 +37,5

=2047,5

1 tháng 7 2018

a,  -3/4 + 3/7 + -1/4 + 4/9 + 4/7

=\(\left(\frac{-3}{4}+\frac{-1}{4}\right)+\left(\frac{3}{7}+\frac{4}{7}\right)+\frac{4}{9}\)

=\(-1+1+\frac{4}{9}\)

=\(\frac{4}{9}\)

b, -7/9 x 4/11 + -7/9 x 7/11 + 5 và 7/9 

\(=\frac{7}{9}x\frac{-4}{11}+\frac{7}{9}x\frac{-7}{11}+5x\frac{7}{9}\)

\(=\frac{7}{9}x\left(\frac{-4}{11}+\frac{-7}{11}+5\right)\)

\(=\frac{7}{9}x4\)

\(=\frac{28}{9}\)

c, ( 21/31 + 2013/6039 ) - ( 44/53 - 10/31) - /53

15 tháng 3 2019

\(\frac{42}{46}\)\(+\frac{250}{286}+\frac{-125125}{143143}\)

\(=\frac{21}{23}+\frac{125}{143}+\frac{-125}{143}\)

\(=\frac{21}{23}+\left(\frac{125}{143}+\frac{-125}{143}\right)\)

\(=\frac{21}{23}+0\)

\(=\frac{21}{23}\)

k cho mik nha✔

15 tháng 3 2019

(\(\frac{21}{31}+\frac{-16}{7}\))  \(+\) (\(\frac{44}{53}+\frac{10}{31}\)\(+\frac{9}{53}\)

\(=\frac{21}{31}+\frac{-16}{7}+\frac{44}{53}+\frac{10}{31}+\frac{9}{53}\)

\(=\)(\(\frac{21}{31}+\frac{10}{31}\)\(+\)\(\frac{44}{53}+\frac{9}{53}\))\(+\frac{-16}{7}\)

\(=1+1+\frac{-16}{7}\)

\(=2\:+\frac{-16}{7}\)

\(=\frac{-2}{7}\)