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1 cặp có giá trị là:
\(\frac{1}{11}\)+\(\frac{1}{25}\)=\(\frac{36}{275}\)
Có các phân số là;
(25-11):1+1=15(phân số)
Có các cặp là :
15 :2=7(CẶP ,DƯ 1 CẶP)
1 CẶP DƯ ĐÓ LÀ:
\(\frac{36}{275}\):2=\(\frac{36}{550}\)=\(\frac{18}{275}\)
Các cặp có tổng là:
\(\frac{36}{275}\).7=\(\frac{252}{275}\)
Tổng số đó là:
\(\frac{252}{275}\)+\(\frac{18}{275}\)=\(\frac{270}{275}\)=\(\frac{54}{55}\)
Phân số \(\frac{54}{55}\)lớn hơn phân số \(\frac{47}{60}\)vì
\(\frac{54}{55}\)và \(\frac{47}{60}\)=\(\frac{3240}{3300}\)và \(\frac{2585}{3300}\)
\(\frac{1}{11}+\frac{1}{12}+\frac{1}{13}+\frac{1}{14}+...+\frac{1}{25}\)
\(=\left(\frac{1}{11}+\frac{1}{12}\right)+\left(\frac{1}{13}+\frac{1}{14}+\frac{1}{15}\right)+\left(\frac{1}{16}+\frac{1}{17}+\frac{1}{18}+\frac{1}{19}+\frac{1}{20}\right)+\left(\frac{1}{21}+\frac{1}{22}+\frac{1}{23}+\frac{1}{24}+\frac{1}{25}\right)\)
\(\frac{1}{11}+\frac{1}{12}>\frac{1}{12}+\frac{1}{12}=\frac{2}{12}=\frac{10}{60}\)
\(\frac{1}{13}+\frac{1}{14}+\frac{1}{15}>\frac{1}{15}+\frac{1}{15}+\frac{1}{15}=\frac{3}{15}=\frac{12}{60}\)
\(\frac{1}{16}+\frac{1}{17}+\frac{1}{18}+\frac{1}{19}+\frac{1}{20}>\frac{1}{20}+\frac{1}{20}+\frac{1}{20}+\frac{1}{20}+\frac{1}{20}=\frac{5}{20}=\frac{15}{60}\)
\(\frac{1}{21}+\frac{1}{22}+\frac{1}{23}+\frac{1}{24}+\frac{1}{25}>\frac{1}{25}+\frac{1}{25}+\frac{1}{25}+\frac{1}{25}+\frac{1}{25}=\frac{5}{25}=\frac{1}{5}=\frac{12}{60}\)
\(\Rightarrow\frac{1}{11}+\frac{1}{12}+\frac{1}{13}+\frac{1}{14}+...+\frac{1}{25}>\frac{10}{60}+\frac{12}{60}+\frac{15}{60}+\frac{12}{60}=\frac{49}{60}\)
Mà \(\frac{49}{60}>\frac{47}{60}\)
\(\Rightarrow\frac{1}{11}+\frac{1}{12}+\frac{1}{13}+\frac{1}{14}+...+\frac{1}{25}>\frac{47}{60}\left(đpcm\right)\)
a) Ta có: \(\left(-12\right)-\left|13-x\right|=-21\)
\(\Leftrightarrow-\left|x-13\right|-12=-21\)
\(\Leftrightarrow-\left|x-13\right|=-9\)
\(\Leftrightarrow\left|x-13\right|=9\)
\(\Leftrightarrow\left[{}\begin{matrix}x-13=9\\x-13=-9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=22\\x=4\end{matrix}\right.\)
Vậy: \(x\in\left\{22;4\right\}\)
b) Ta có: \(8\le\left|x\right|< 9\)
\(\Leftrightarrow\left|x\right|=8\)
\(\Leftrightarrow x\in\left\{8;-8\right\}\)
Vậy: \(x\in\left\{8;-8\right\}\)
c) Ta có: \(x-\left(-25+x\right)=13-x\)
\(\Leftrightarrow x+25-x-13+x=0\)
\(\Leftrightarrow x+12=0\)
hay x=-12
Vậy: x=-12
d) Ta có: \(\left(15-30\right)+x=x-\left(27-\left|-8\right|\right)\)
\(\Leftrightarrow x-15=x-\left(27-8\right)\)
\(\Leftrightarrow x-15-x+19=0\)
\(\Leftrightarrow-4=0\)(vô lý)
Vậy: \(x\in\varnothing\)
\(12-(23-17)+\left|-15\right|=13-x-(23-8+\left|-9\right|)\)
\(\Rightarrow12-6+15=13-x-(23-8+9)\)
\(\Rightarrow12-6+15=13-x-24\)
\(\Rightarrow21=13-x-24\)
\(\Rightarrow x=13-24-21\)
\(\Rightarrow x=-32\)
\(\text{Vậy : }x=-32\)
12-( 23 - 17 )+ 15 = 13 -x - (23 - 8 + 9 )
12-23+17+15=13-x-23+8-9
12+17+15-23=13+8-9-x
29+15-23= 21-9 -x
44-23=12-x
21=12-x
12-x=21
x=12-21
x= -9
1) -(-17) - |-5|
=17-5
=12
2) - |+12| + (-14)
=-12+(-14)
=-26
3) -(+15) + |-7|
=-15+7
=-8
4) (-9) + -(-13)
=-9+13
=4
5) - (-12) + 0
=12+0
=12
6) - (-15) + (-15)
=15+(-15)
=0
7) -(-27) - (+27)
=27-27
=0
8) - (-13) - |-13|
=13-13
=0
9) - |-13| - |-17|
=-13-17
=-30
10) |-25| + |-17|
=25+17
=42
11) -18 + |-5|
=-18+5
=-13
12) |-20| - (-27)
=20+27
=47
13) - |-32| - (+15)
=-32-15
=-47
14) - (-25) - |-48|
=25-48
=-23
dễ mà
tick mk đi mk giải hết
nhưng ghi kết quả thui nha ^_^
25 + ( x - 15 ) = 30
x - 15 = 30 - 25
x = 5 + 15
x = 20
91 . 25 - 91 . 13 - 91 . 12
= 91. ( 25 - 13 -12 )
= 91. 0
= 0
64 . 16 + 81 . 84 + 17 . 16
= 16. ( 64 + 17 ) + 81 . 84
= 16 . 81 + 81 . 84
= 81 . ( 84 + 16 )
= 81 . 100
= 8100
~HT~ and ~ T.i.c.k ~
\(a.\frac{-5}{9}+\frac{5}{9}:A=\left(-\frac{5}{9}+\frac{5}{9}\right):A=0:A=0\)
\(b.\frac{7}{25}.\frac{11}{13}-\frac{7}{25}.\frac{2}{13}-\frac{8}{25}=\frac{7}{25}.\left(\frac{11}{13}-\frac{2}{13}\right)-\frac{8}{25}=\frac{7}{25}.\frac{9}{13}-\frac{8}{25}=\frac{63}{325}-\frac{8}{25}=\frac{-41}{325}\)
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-|-13| + |-25| + |12|
= -13 + 25 + 12
= 12 + 12
= 24 bạn nha
-13 + 25 + 12 = 24