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a) \(\frac{5}{6}+\frac{7}{12}-\frac{2}{3}\)=\(\frac{10}{12}+\frac{7}{12}-\frac{8}{12}\)=\(\frac{9}{12}=\frac{3}{4}\)
b) \(\frac{3}{4}-1\frac{1}{2}+50\%:\frac{5}{12}\)=\(\frac{3}{4}-\frac{3}{2}+\frac{1}{2}:\frac{5}{12}\)=\(\frac{3}{4}-\frac{3}{2}+\frac{6}{5}\)=\(\frac{30}{40}-\frac{60}{40}+\frac{48}{40}\)= \(\frac{18}{40}\)=\(\frac{9}{20}\)
c)ghi lại đề hộ mk, mk ko rõ
Bài 1:
a)A=(1-3+5-7)+(9-11+13-15)+...+(39-41+43-45)-47+49-51
A=-4+(-4)+..+(-4) -47+49-51
A=-48-47+49-51
A=-97
d)D=0
Bài 2:
a)2n+1 chia hết n-5
Có:n-5 chia hết n-5
=>2n-10: hết n-5
Mà 2n+1 ; hết n-5
=>[(2n+1)-(2n-10)]: hết n-5
=>(2n+1-2n+10): hết n-5
=>11:hết n-5
=>n-5 thuộc Ước của 11={-1;1;11;-11}
=>n={4;6;16;-6}
b)tương tự
c)n(n+2) : hết cho n+2
n^2+2n : hết cho n+2
=>n^2+5n-13-(n^2+2n)
=>n^2+5n-13-n^2-2n
=>3n-13:hết cho n+2
n+2 : hết cho n+2
=>3n+6 : hết n+2
mà 3n-13:hetea n+2
=>19 : hết n+2
=>n=-1;17;-21;-3
Bài 3:
x(5+y)-4y=9
x(5+y)-4(y+5)=29
(y+5)(x-4)=29
mình làm điển hình thôi, làm hết chắc "chớt"
Bài 1:
a) A = 1 - 3 + 5 -7 + 9 - 11 + ... +49-51
A = (-2) + (-2) + (-2) + ... + (-2)
A = (-2).13
A = -26
Bài 2:
a) 2n+1 chia hết cho n-5
<=> 2n-10+11 chia hết cho n-5
<=> 2(n-5)+11 chia hết cho n-5
mà 2(n-5) chia hết cho n-5 <=> 11 cũng chia hết cho n-5
<=>\(n-5\inƯ\left(11\right)=\left\{-11;-1;11\right\}\)
<=>\(n\in\left\{-6;4;6;16\right\}\)
\(\dfrac{1}{2}+\dfrac{3}{4}-\left(\dfrac{3}{4}-\dfrac{4}{5}\right)\)
=\(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{3}{4}+\dfrac{4}{5}\)
=\(\left(\dfrac{1}{2}+\dfrac{4}{5}\right)+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)\)
=\(\left(\dfrac{5}{10}+\dfrac{8}{10}\right)+0\)
=\(\dfrac{13}{10}\)
\(-\dfrac{7}{25}.\dfrac{11}{13}+\left(-\dfrac{7}{25}\right).\dfrac{2}{13}-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.1-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}-\dfrac{18}{25}\)
=\(-\dfrac{25}{25}\) = \(-1\)
a: \(=\dfrac{15}{4}:\dfrac{2-7}{16}-\dfrac{5}{9}\cdot\left(\dfrac{3}{5}+\dfrac{4}{5}\right)\)
\(=\dfrac{15}{4}\cdot\dfrac{16}{-5}-\dfrac{5}{9}\cdot\dfrac{7}{5}\)
\(=\dfrac{-240}{20}-\dfrac{7}{9}=-12-\dfrac{7}{9}=\dfrac{-115}{9}\)
c: \(=\dfrac{1}{5}-\dfrac{7}{2}-\dfrac{3}{2}+\dfrac{5}{4}\)
\(=\dfrac{4+25}{20}-5=\dfrac{29}{20}-\dfrac{100}{20}=\dfrac{-71}{20}\)
d: \(=\dfrac{12}{17}\left(1-\dfrac{1}{15}-\dfrac{4}{5}+1\right)=\dfrac{12}{17}\cdot\dfrac{17}{15}=\dfrac{12}{15}=\dfrac{4}{5}\)
e: \(=\dfrac{2}{15}\cdot\dfrac{9}{8}-\dfrac{7}{4}\cdot\dfrac{9}{8}+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\left(\dfrac{2}{15}-\dfrac{7}{4}\right)+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\cdot\dfrac{8-105}{60}+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\cdot\dfrac{-97}{60}+\dfrac{25}{36}=\dfrac{-1619}{1440}\)
\(a,\frac{5}{6}+\frac{7}{12}-\frac{2}{3}\)
\(=\frac{10}{12}+\frac{7}{12}-\frac{8}{12}\)
\(=\frac{10+7-8}{12}\)
\(=\frac{9}{12}\)
\(=\frac{3}{4}\)
\(b,\frac{3}{4}-1\frac{1}{2}+50\%:\frac{5}{12}\)
\(=\frac{3}{4}-\frac{3}{2}+\frac{1}{2}:\frac{5}{12}\)
\(=\frac{3}{4}-\frac{6}{4}+\frac{1}{2}.\frac{12}{5}\)
\(=\frac{-3}{4}+\frac{6}{5}\)
\(=\frac{-15}{20}+\frac{24}{20}\)
\(=\frac{9}{20}\)
\(c,\frac{2}{7}.5\frac{1}{4}-\frac{2}{7}.3\frac{1}{4}\)
\(=\frac{2}{7}.\left(5\frac{1}{4}-3\frac{1}{4}\right)\)
\(=\frac{2}{7}.\left[\left(5-3\right)+\left(\frac{1}{4}-\frac{1}{4}\right)\right]\)
\(=\frac{2}{7}\left[2+0\right]\)
\(=\frac{2}{7}.2\)
\(=\frac{4}{7}\)
~Study well~
a ) 5/6 + 7/12 - 2/3
= 17/12 - 2/3
= 3/4
b ) 3/4 - 1 1/2 + 50% : 5/12
= 3/4 - 1 1/2 + 50/100 : 5/12
= 3/4 - 3/2 + 1/2 : 5/12
= 3/4 - 3/2 + 1/2 . 12/5
= 3/4 - 3/2 + 6/5
= - 3/4 + 6/5
= 9/20
c ) 2/7 . 5 1/4 - 2/7 . 3 1/4
= 2/7 . ( 5 1/4 - 3 1/4 )
= 2/7 . 2
= 4/7
Học tốt!