a.8/5+7/6+5/9-2
b.3-5/6-4/9+32/24
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a)\(\dfrac{8}{5}+\dfrac{7}{6}+\dfrac{5}{9}-2\)
\(=\dfrac{144}{90}+\dfrac{105}{6}+\dfrac{50}{90}-\dfrac{180}{90}=\dfrac{119}{90}\)
b) \(3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{32}{24}\)
\(=3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{4}{3}\)
\(=\dfrac{54}{18}-\dfrac{15}{18}-\dfrac{8}{18}+\dfrac{24}{18}=\dfrac{55}{18}\)
a)85+76+59−258+67+95−2
=14490+1056+5090−18090=11990=90144+6105+9050−90180=90119
b) 3−56−49+32243−65−94+2432
=3−56−49+43=3−65−94+34
=5418−1518−818+2418=5518=1854−1815−188
\(a)\dfrac{8}{5}+\dfrac{7}{6}+\dfrac{5}{9}+2\)
\(\text{=}\dfrac{144}{90}+\dfrac{105}{90}+\dfrac{50}{90}+\dfrac{180}{90}\)
\(\text{=}\dfrac{144+105+50+180}{90}\)
\(\text{=}\dfrac{497}{90}\)
\(b)3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{32}{24}\)
\(\text{=}3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{4}{3}\)
\(\text{=}\dfrac{54-15-8+24}{48}\text{=}\dfrac{55}{48}\)
\(\dfrac{8}{5}+\dfrac{7}{6}+\dfrac{5}{9}-2=\dfrac{144}{90}+\dfrac{105}{90}+\dfrac{50}{90}-\dfrac{180}{90}=\dfrac{119}{90}\)
\(3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{32}{24}=3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{4}{3}=\dfrac{54}{18}-\dfrac{15}{18}-\dfrac{8}{18}+\dfrac{24}{18}=\dfrac{55}{18}\)
8/5+7/6+5/9-2=83/30+5/9-2
=299/90-2
=119/90
3-5/6-4/9+32/24=13/6-4/9+32/24
=13/18+32/24
=55/18
Tính các tổng sau:
1, S=1-2+3_4+..+25-26
S =-1+3-5+7-...-53+55 ( có 28 số hạng )
= (-1+3)+(-5+7)+...+(-53+55) ( có 28:2=14 nhóm )
= 2+2+...+2
= 2 . 14
= 28
a)\(\dfrac{5}{7}+\dfrac{4}{9}=\dfrac{45}{63}+\dfrac{28}{63}=\dfrac{73}{63}\) ; \(\dfrac{9}{11}+\dfrac{3}{8}=\dfrac{72}{88}+\dfrac{33}{88}=\dfrac{105}{88}\)
\(\dfrac{4}{5}-\dfrac{2}{3}=\dfrac{12}{15}-\dfrac{10}{15}=\dfrac{2}{15}\); \(\dfrac{16}{25}-\dfrac{2}{5}=\dfrac{16}{25}-\dfrac{10}{25}=\dfrac{6}{25}\)
b)\(5+\dfrac{3}{5}=\dfrac{25}{5}+\dfrac{3}{5}=\dfrac{28}{5};10-\dfrac{9}{16}=\dfrac{160}{16}-\dfrac{9}{16}=\dfrac{151}{16}\)
\(\dfrac{2}{3}-\left(\dfrac{1}{6}+\dfrac{1}{8}\right)=\dfrac{2}{3}-\left(\dfrac{8}{48}+\dfrac{6}{48}\right)=\dfrac{2}{3}-\dfrac{14}{48}=\dfrac{32}{48}-\dfrac{14}{48}=\dfrac{3}{8}\)