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Bài 1 :
36/1212 = 3/101
13/1313 = 1/101
3/101 + 1/101 = 4/101
Vậy 36/1212 + 13/1313 = 4/101.
Bài 2 :
A = 5/13 + 1/2 + -5/9 + -3/6 + 4/-9
A = 5/13 + 1/2 + -5/9 + -1/2 + -4/9
A = (1/2 + -1/2) + (-5/9 + -4/9) + 5/13
A = 0 + (-1) + 5/13
A = (-1) + 5/13 = -13/13 + 5/13 = 8/13.
Chúc bạn học giỏi nhé.
\(C=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{72}+\frac{1}{90}\)
\(=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+....+\frac{1}{8\cdot9}+\frac{1}{9\cdot10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
a) =-5/7 +7/8-2/7+1/8- -1/12+ -13/12
=(-5/7-2/7)+(7/8+1/8)-(-1/12--13/12)
=-7/7+8/8 - 12/12
= -1+1+1
=1
b)= ( -3/8+11/8)-(12/11+ -1/11)+(-3/5- 2/5)
= 1- 1 + (-1)
=-1
\(a,\frac{x-1}{9}=\frac{8}{3}\)
\(\Leftrightarrow x-1=24\)
\(\Rightarrow x=25\)
\(b,-\frac{x}{4}=-\frac{9}{x}\)
\(\Leftrightarrow x^2=36\)
\(\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
\(c,\frac{x}{4}=\frac{18}{x+1}\)
\(\Leftrightarrow x^2+x=72\)
\(\Leftrightarrow x\left(x+1\right)=72..\)
ấn nhầm: lm tiếp nhé!
\(x\left(x+1\right)=72\)
\(\text{Mà x thuộc Z nên }x\left(x+1\right)=8\left(8+1\right)\)
\(\Leftrightarrow x=8\)
a-[171+(171+23)]-[172-(38+172)]-49
=[171+194]-[172-210]-49
=365-(-38)-49
=403-49=354
\(\frac{2}{5}\)= \(\frac{x}{10}\)
2 x 10 = \(x\)x 5
20 = \(x\)x 5
x = 20 : 5
x = 4
Vậy x = 4
Tk mk nha !!
Áp dụng \(\frac{a}{b}=\frac{c}{d}\)\(\Leftrightarrow\)\(ad=bc\) \(\left(a,b,c,d\inℤ;b,d\ne0\right)\) là okkk :)
Ta có :
\(\frac{2}{5}=\frac{x}{10}\)
\(\Leftrightarrow\)\(2.10=5x\)
\(\Leftrightarrow\)\(20=5x\)
\(\Leftrightarrow\)\(x=\frac{20}{5}\)
\(\Leftrightarrow\)\(x=4\)
Vậy \(x=4\)
Chúc bạn học tốt ~
80/1.6+80/6.11+80/11.16+...+80/251.256
=16.(5/1.6+5/6.11+5/11.16+...+5/251.256
=16.(1-1/6+1/6-1/11+1/11-1/16+...+1/251-1/256)
=16.(1-1/256)
=16.255/256
=255/16
=438.(1/111.113+1/113.113+...+1/217.219)
=438.1/2.(2/111.113+2/113.115+...+1/217.219)
=438.1/2.(1/111-1/113+1/113-1/115+...+1/217-1/219)
=438.1/2.(1/111+0+0+..+0-1/219)
=438.1/2.(1/111-1/219)=219/111-1=
b tự tính
\(A=\frac{438}{111.113}+\frac{438}{113.115}+\frac{438}{115.117}+...+\frac{438}{217.219}\)
\(A=219\left(\frac{2}{111.113}+\frac{2}{113.115}+\frac{2}{115.117}+...+\frac{2}{217.219}\right)\)
\(A=219\left(\frac{1}{111}-\frac{1}{113}+\frac{1}{113}-\frac{1}{115}+\frac{1}{115}-\frac{1}{117}+...+\frac{1}{217}-\frac{1}{219}\right)\)
\(A=219\left(\frac{1}{111}-\frac{1}{219}\right)\)