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a) \(-\frac{10}{11}.\frac{8}{9}+\frac{1}{18}\left(-\frac{10}{11}\right)\)
\(=\left(-\frac{10}{11}\right)^2.\left(\frac{8}{9}+\frac{1}{18}\right)\)
\(=\frac{100}{121}.\frac{17}{18}\)
\(=\frac{850}{1089}\)
bn ghi sai đề rồi
a 10/11x-8/9+7/18x10/11
10/11x(-8/9+7/18)
10/11x-1/9=-10/99
sorry mình ko biết làm câu b
a) 1152-(374+1152)+(-65+374)
=1152-374-1152-65+374
=(1152-1152)+(-374+374)-65
=-65
a, 1152 - ( 374 + 1152 ) + ( -65 + 374 )
= 1152 - 374 - 1152 - 65 + 374
= ( 1152 - 1152 ) - ( 374 - 374 ) - 65
= 0 - 0 - 65
= -65
b, 13 - 12 + 10 - 9 + 8 - 7 - 6 + 5 - 4 + 3 + 2 - 1
= ( 13 - 12 ) + 11 + ( 10 - 9 ) + ( 8 - 7 ) - ( 6 - 5 ) - ( 4 - 3 ) + ( 2 - 1 )
= 1 + 11 + 1 + 1 - 1 - 1 + 1
= 13
\(11\frac{3}{13}-\left(2\frac{4}{7}+5\frac{3}{13}\right)\)
\(=11\frac{3}{13}-2\frac{4}{7}-5\frac{3}{13}\)
\(=11+\frac{3}{13}-2-\frac{4}{7}-5-\frac{3}{13}\)
\(=\left(11-2-5\right)+\left(\frac{3}{13}-\frac{3}{13}\right)-\frac{4}{7}\)
\(=4+\frac{4}{7}\)
\(=4\frac{4}{7}\)
hok tốt
\(11\frac{3}{13}-\left(1\frac{4}{7}+5\frac{3}{13}\right)\)
\(=\frac{146}{13}-\left(\frac{11}{7}+\frac{68}{13}\right)\)
\(=\left(\frac{146}{13}-\frac{68}{13}\right)+\frac{11}{7}\)
\(=6+\frac{11}{7}\)
\(=\frac{53}{7}\)
Học tốt #
Gợi ý: Sử dụng tính chất phân phối của phép nhân đối với phép cộng để nhóm thừa số chung ra ngoài.
\(C=\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{14}+1\frac{5}{7}\)
\(C=\frac{5}{7}.\left(\frac{-2}{11}+\frac{-9}{14}+1\right)+1\)
\(C=\frac{5}{7}.\frac{27}{154}+1\)
\(C=\frac{135}{1078}+1\)
\(C=1\frac{135}{1078}\)
CHÚC BN HỌC TỐT!
ta có:
c=-5/7.2/11+-5/5.9/14+1/5/7
c=-10/77+-9/14+1/5/7
c=-79/154=1/5/7
c=185/154
\(\frac{0,4-\frac{2}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}\)
\(=\frac{\frac{2}{5}-\frac{2}{9}+\frac{2}{11}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{2}{6}-\frac{2}{8}+\frac{2}{10}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}\)
\(=\frac{2.\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}{7.\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}-\frac{2.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}{7.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}\)
\(=\frac{2}{7}-\frac{2}{7}\)
\(=0\)
\(\frac{0,4-\frac{2}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}=\frac{\frac{2}{5}-\frac{2}{9}+\frac{2}{11}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}\)
\(=\frac{2\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}{7\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}-\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{2}\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{5}\right)}\)
\(=\frac{2}{7}-\frac{1}{\frac{7}{2}}\)
\(=\frac{2}{7}-\frac{2}{7}=0\)
Study well ! >_<
\(\dfrac{2}{7}-\dfrac{3}{11}+\dfrac{5}{7}-\dfrac{8}{11}\\ =\left(\dfrac{2}{7}+\dfrac{5}{7}\right)-\left(\dfrac{3}{11}+\dfrac{8}{11}\right)\\ =\dfrac{7}{7}-\dfrac{11}{11}\\ =1-1\\ =0\)
nhanh zậy