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

Bạn nhìn ở trên mới ghi lại 

  \(\dfrac{1}{2}+\dfrac{3}{4}-\left(\dfrac{3}{4}-\dfrac{4}{5}\right)\)

=\(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{3}{4}+\dfrac{4}{5}\)

=\(\left(\dfrac{1}{2}+\dfrac{4}{5}\right)+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)\) 

=\(\left(\dfrac{5}{10}+\dfrac{8}{10}\right)+0\)

=\(\dfrac{13}{10}\)

\(-\dfrac{7}{25}.\dfrac{11}{13}+\left(-\dfrac{7}{25}\right).\dfrac{2}{13}-\dfrac{18}{25}\)

=\(-\dfrac{7}{25}.\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\) 

=\(-\dfrac{7}{25}.1-\dfrac{18}{25}\) 

=\(-\dfrac{7}{25}-\dfrac{18}{25}\) 

=\(-\dfrac{25}{25}\) = \(-1\)

\(a,\frac{5}{6}+\frac{7}{12}-\frac{2}{3}\)

\(=\frac{10}{12}+\frac{7}{12}-\frac{8}{12}\)

\(=\frac{10+7-8}{12}\)

\(=\frac{9}{12}\)

\(=\frac{3}{4}\)

\(b,\frac{3}{4}-1\frac{1}{2}+50\%:\frac{5}{12}\)

\(=\frac{3}{4}-\frac{3}{2}+\frac{1}{2}:\frac{5}{12}\)

\(=\frac{3}{4}-\frac{6}{4}+\frac{1}{2}.\frac{12}{5}\)

\(=\frac{-3}{4}+\frac{6}{5}\)

\(=\frac{-15}{20}+\frac{24}{20}\)

\(=\frac{9}{20}\)

\(c,\frac{2}{7}.5\frac{1}{4}-\frac{2}{7}.3\frac{1}{4}\)

\(=\frac{2}{7}.\left(5\frac{1}{4}-3\frac{1}{4}\right)\)

\(=\frac{2}{7}.\left[\left(5-3\right)+\left(\frac{1}{4}-\frac{1}{4}\right)\right]\)

\(=\frac{2}{7}\left[2+0\right]\)

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

\(=\frac{4}{7}\)

~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!

Số hạng trên là

( 1000 - 10 ) : 10 + 1 = 100 số hạng

Tổng trên là

( 1000 + 10 ) x 100 : 2 = 50500

Đáp số : 50500

Các câu sai: a, c, d, f

Các câu đúng: b, e

Các câu đúng: b,e
Các câu sai: a, c, d; f.
a) \(\left(-5\right)^2.\left(-5\right)^3=\left(-5\right)^5\);
c) \(\left(0,2\right)^{10}:\left(0,2\right)^5=\left(0,2\right)^{10-5}=0,2^5\);
d) \(\left[\left(-\dfrac{1}{7}\right)^2\right]^4=\left(-\dfrac{1}{7}\right)^{2.4}=\left(-\dfrac{1}{7}\right)^8\)
f \(\dfrac{8^{10}}{4^8}=\dfrac{\left(2^3\right)^5}{\left(2^2\right)^8}=\dfrac{2^{15}}{2^{16}}=\dfrac{1}{2}\)

a: \(B=\frac12-\left\lbrack\frac38+\left(-\frac74\right)\right\rbrack\)

\(=\frac12-\frac38+\frac74\)

\(=\frac48-\frac38+\frac{14}{8}=\frac{15}{8}\)

b: \(-\frac{4}{12}-\left(-\frac{13}{39}-0,25\right)+0,75\)

\(=-\frac13+\frac13+0,25+0,75\)

=0,25+0,75

=1

c: \(\frac12-\frac13+\frac{1}{23}+\frac16\)

\(=\left(\frac12-\frac13+\frac16\right)+\frac{1}{23}\)

\(=\left(\frac16+\frac16\right)+\frac{1}{23}=\frac13+\frac{1}{23}=\frac{26}{69}\)

d: \(\left(-\frac{13}{7}-\frac49\right)-\left(-\frac{10}{7}-\frac49\right)\)

\(=-\frac{13}{7}-\frac49+\frac{10}{7}+\frac49\)

\(=-\frac{13}{7}+\frac{10}{7}=-\frac37\)

e: \(\left(\frac78-\frac52+\frac47\right)-\left(-\frac37+1-\frac{13}{8}\right)\)

\(=\frac78-\frac52+\frac47+\frac37-1+\frac{13}{8}\)

\(=\frac{20}{8}-\frac52=0\)

f: \(-\frac37+\left(3-\frac34\right)-\left(2,25-\frac{10}{7}\right)\)

\(=-\frac37+3-\frac34-2,25+\frac{10}{7}\)

\(=\frac77+0,75-\frac34\)

=1
g: \(\left(\frac53-\frac37+9\right)-\left(2+\frac57-\frac23\right)+\left(\frac87-\frac43-10\right)\)

\(=\frac53-\frac37+9-2-\frac57+\frac23+\frac87-\frac43-10\)

\(=\left(\frac53+\frac23-\frac43\right)+\left(-\frac37-\frac57+\frac87\right)+\left(9-2-10\right)\)

\(=\frac33+7-10=1-3=-2\)