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a)\(\frac{7}{12}.\frac{6}{11}+\frac{7}{12}.\frac{5}{11}-2\frac{7}{12}\)
\(=\frac{7}{12}.\left(\frac{6}{11}+\frac{5}{11}\right)-\frac{31}{12}\)
\(=\frac{7}{12}-\frac{31}{12}\)
\(=-2\)
b)\(\frac{-5}{9}.\frac{-6}{13}+\frac{5}{-9}.\frac{-5}{13}-\frac{5}{9}\)
\(=\frac{5}{9}.\left(\frac{6}{13}+\frac{5}{13}-1\right)\)
\(=\frac{5}{9}.\left(\frac{11}{13}-\frac{13}{13}\right)\)
\(=\frac{5}{9}.\frac{-2}{13}\)
\(=-\frac{10}{117}\)
c)\(0,8.\frac{-15}{14}-\frac{4}{5}.\frac{13}{14}-1\frac{2}{5}\)
\(=\frac{4}{5}.\frac{-15}{14}-\frac{4}{5}.\frac{13}{14}-\frac{7}{5}\)
\(=\frac{4}{5}.\left(-\frac{15}{14}-\frac{13}{14}\right)-\frac{7}{5}\)
\(=\frac{4}{5}.\left(-2\right)-\frac{7}{5}\)
\(=\frac{-8}{5}-\frac{7}{5}\)
\(=-3\)
d)\(-75\%.\frac{6}{7}+5\%.\frac{6}{7}+\frac{7}{10}.1\frac{1}{7}\)
\(=\frac{-15}{20}.\frac{6}{7}+\frac{1}{20}.\frac{6}{7}+\frac{7}{10}.\frac{8}{7}\)
\(=\frac{6}{7}.\left(\frac{-15}{20}+\frac{1}{20}\right)+\frac{4}{5}\)
\(=\frac{6}{7}.\frac{-7}{10}+\frac{4}{5}\)
\(=-\frac{3}{5}+\frac{4}{5}\)
\(=\frac{1}{5}\)
Linz
A xin lỗi mình viết sai đề để mình viết lại
(0,25 - 3/4) : 2/3 + (-1/2)^2
\(\left(0,25-\frac{3}{4}\right)\div\frac{2}{3}+\left(\frac{-1}{2}\right)^2\)2
\(=\left(\frac{1}{4}-\frac{3}{4}\right)\times\frac{3}{2}+\frac{1}{4}\)
\(=\frac{-1}{2}\times\frac{3}{2}+\frac{1}{4}\)
\(=\frac{-3}{4}+\frac{1}{4}\)
\(=\frac{-2}{4}=\frac{-1}{2}\)
1^3-3^5-(-3^5)+1^64-2^9-1^36+1^15
=1+(-3^5+3^5)+1-2^9-1+1
=2-2^9
=-510
=-4/15 - 18/19-20/19-11/15
= (-4/15-11/15) - (18/19+20/19)
= -1 - 2
= - 3
\(\left(\frac{-4}{15}-\frac{18}{19}\right)-\left(\frac{20}{19}+\frac{11}{15}\right)=\frac{-4}{15}-\frac{18}{19}-\frac{20}{19}-\frac{11}{15}\)
\(=\left(\frac{-4}{15}-\frac{11}{15}\right)-\left(\frac{18}{19}+\frac{20}{19}\right)=\frac{-15}{15}-\frac{38}{19}=-1-2=-3\)
\(13\frac{1}{4}-2\frac{5}{27}-10\frac{5}{6}\)\(=13-2-10+\frac{1}{4}-\frac{5}{27}-\frac{15}{6}\)
\(=1+\frac{1}{4}-\frac{5}{27}-\frac{5}{6}\)
\(=\frac{25}{108}\)
Tử:
\(=\frac{25}{108}.\frac{5751}{25}+\frac{187}{4}\)
\(=\frac{213}{4}+\frac{187}{4}\)
\(=100\)
Mẫu:
\(=\left(1+3+\frac{3}{7}+\frac{1}{3}\right):\left(12\frac{1}{3}-14\frac{2}{7}\right)\)
\(=\left(4+\frac{16}{21}\right):\left(12-14+\frac{1}{3}-\frac{2}{7}\right)\)
\(=\frac{100}{21}:\left(-2+\frac{1}{21}\right)\)
\(=\frac{100}{21}:\frac{-41}{21}\)
\(=\frac{100}{21}.\frac{-21}{41}\)
\(=-\frac{100}{41}\)
Biểu thức =\(100:\frac{-100}{41}\)\(=-41\)
a, ( 1/2 - 13/14 ) : 5/7 - ( -2/21 + 1/7 ) : 5/7
= ( 7/14 - 13/14 ) : 5/7 - ( -2/21 + 3/21 ) : 5/7
= -3/7 : 5/7 - 1/21 : 5/7
= -3/7 . 7/5 - 1/21 . 7/5
= ( -3/7 - 1/21 ) . 7/5
= ( -9/7+ -1/21 ) . 7/5
= -10/21 . 7/5
= -2/3
b, (68/5 + 19/4 ) - 43/5
= 68/5 + 19/4 - 43/5
= ( 68/5 - 43/5 ) + 19/4
= 5 +19/4
= 39/4
c, ( 93/11 + 29/8 ) - 38/11
= 93/11 + 29/8 - 38/11
= ( 93/11 - 38/11 ) + 29/8
= 5 + 29/8
=69/8
d, 4/9 : ( -1/7 ) + 59/9 : ( -1/7 )
= 4/9 . -7 + 59/9 . -7
= ( 4/9 + 59/9 ) . -7
= 7 . -7
= -49
Đặt A=\(\frac{6}{-7}\)+ \(\frac{9}{4}\). \(\frac{2}{15}\)- \(\frac{2}{14}\)
A = \(\frac{6}{-7}\)+ \(\frac{3}{10}\)- \(\frac{2}{14}\)
A= \(\frac{-60}{70}\)+ \(\frac{21}{70}\)- \(\frac{10}{70}\)
A= \(\frac{-7}{10}\)