Tính hợp lý :
\(\frac{31}{17}\)+\(\frac{-5}{13}\)+\(\frac{-8}{13}\)-\(\frac{4}{17}\)
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a) 93. 85+ 17. 45-170 = 93. 17. 5+ 17.9.5-17.5.2= 17.5.( 93+ 9-2)= 85. 100 = 8500
b) \(\left(\frac{-13}{31}:\frac{5}{17}+\frac{-18}{31}:\frac{5}{17}\right).\frac{25}{34}\)
\(=\left(\frac{-13}{31}.\frac{17}{5}+\frac{-18}{31}.\frac{17}{5}\right).\frac{25}{34}\)
\(=\left(\frac{-13}{31}+\frac{-18}{31}\right).\frac{17}{5}.\frac{25}{34}\)
\(=\left(-1\right).\frac{5}{2}\)
\(=\frac{-5}{2}\)
CHÚC BN HỌC TỐT!!
a, 98.85 + 17.45 - 170 = 116.3 - 170 = -53.7
b, (-13/31 : 5/17 + -18/31 : 5/17) x 25/34 = 17/5 x ( -13/31 + -18/31) x 25/34
=17/5 x -1 x 25/34 = -5/2 = -2.5
Trả lời
b)(1/3+12/67+13/41)-(79/67-28/41)
=1/3+12/67+13/41-79/67+28/41
=1/3+(12/67-79/67)+(13/41+28/41)
=1/3+(-67/67)+41/41
=1/3+(-1)+1
=1/3+0
=1/3.
\(=\frac{9}{16}.\left(\frac{13}{4}+\frac{17}{4}\right)-\frac{9}{4}.\frac{5}{16}\)
\(=\frac{9}{16}.\frac{30}{4}-\frac{9}{4}.\frac{5}{16}\)
\(=\left(\frac{9}{16}-\frac{5}{16}\right).\left(\frac{30}{4}-\frac{9}{4}\right)\)
\(=\frac{1}{4}.\frac{21}{4}=\frac{21}{16}\)
Hok tốt~
a, \(\left(31\frac{6}{13}+5\frac{9}{41}\right)-36\frac{6}{13}=31\frac{6}{16}+5\frac{9}{41}-36\frac{6}{13}\)
\(=\left(31\frac{6}{16}-31\frac{6}{16}\right)+5\frac{9}{41}\)
\(=0+5\frac{9}{41}=5\frac{9}{41}\)
b, \(\left(17\frac{29}{31}-3\frac{7}{8}\right)-\left(2\frac{28}{31}-4\right)=17\frac{9}{31}-3\frac{7}{8}-2\frac{28}{31}+4\)
\(A=17\frac{2}{31}-\left(\frac{15}{17}+6\frac{2}{31}\right)=\left(17\frac{2}{31}-6\frac{2}{31}\right)-\frac{15}{17}=11-\frac{15}{17}=10+\left(1-\frac{15}{17}\right)=10\frac{2}{17}\)
\(B=\left(31\frac{6}{13}-36\frac{6}{13}\right)+5\frac{9}{41}=-5+5\frac{9}{41}=\frac{9}{41}\)
C=\(\left(27\frac{51}{59}-7\frac{51}{59}\right)+\frac{1}{3}=20+\frac{1}{3}=20\frac{1}{3}\)
\(D=\left(13\frac{29}{31}-2\frac{28}{31}\right)+\left(4-3\frac{7}{8}\right)=11\frac{1}{31}+\frac{1}{8}=11\frac{8+31}{31.8}=11\frac{39}{248}\)
a) \(\frac{31}{17}+\frac{-5}{13}+\frac{-8}{13}-\frac{14}{17}\)
\(=\left(\frac{31}{17}-\frac{14}{17}\right)+\left(\frac{-5}{13}+\frac{-8}{13}\right)\)
\(=1+\left(-1\right)\)
\(=0\)
b) \(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}+\frac{5}{7}\)
\(=\frac{-5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{5}{7}\)
\(=\frac{-5}{7}.1+\frac{5}{7}\)
\(=\frac{-5}{7}+\frac{5}{7}\)
\(=0\)
\(\frac{-4}{13}.\frac{5}{17}+\frac{-12}{13}.\frac{4}{17}+\frac{4}{13}\)
\(=\frac{4}{13}.\frac{-5}{17}+\frac{-12}{17}.\frac{4}{13}+\frac{4}{13}\)
\(=\frac{4}{13}.\left(\frac{-5}{17}+\frac{-12}{17}+1\right)\)
\(=\frac{4}{13}.0\)
\(=0\)
Trả lời
\(\frac{31}{17}+\left(\frac{-5}{13}\right)+\left(\frac{-8}{13}\right)-\frac{4}{17}\)
\(=\left(\frac{31}{17}-\frac{4}{17}\right)+\left[\left(\frac{-5}{13}\right)+\left(\frac{-8}{13}\right)\right]\)
\(=\frac{27}{17}+\left(\frac{-13}{13}\right)\)
\(=\frac{27}{17}+\left(-1\right)\)
\(=\frac{10}{17}\)
\(\frac{31}{17}+\frac{-5}{13}+\frac{-8}{13}-\frac{4}{17}\)
\(=\left(\frac{31}{17}-\frac{4}{17}\right)+\left(\frac{-5}{13}+\frac{-8}{13}\right)\)
\(=\frac{27}{13}+\frac{-13}{13}\)
\(=\frac{27}{13}+\left(-1\right)\)
\(=\frac{10}{17}\)