so sánh phân số giải thích
2/-9 và -4/9
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\(a,\dfrac{3}{5}+\dfrac{4}{7}+\dfrac{2}{5}+\dfrac{1}{7}+\dfrac{2}{7}=\left(\dfrac{4}{7}+\dfrac{1}{7}+\dfrac{2}{7}\right)+\left(\dfrac{3}{5}+\dfrac{2}{5}\right)\\ =\dfrac{4+1+2}{7}+\dfrac{3+2}{5}=\dfrac{7}{7}+\dfrac{5}{5}=1+1=2\\ --\\ b,\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{4}{3}+\dfrac{2}{6}+\dfrac{2}{3}+\dfrac{3}{6}=\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{4}{3}+\dfrac{1}{3}+\dfrac{2}{3}+\dfrac{1}{2}=\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\left(\dfrac{1}{3}+\dfrac{1}{2}+\dfrac{1}{6}\right)+\dfrac{4}{3}=\dfrac{3}{3}+\dfrac{6}{6}+\dfrac{4}{3}\\ =1+1+\dfrac{4}{3}=\dfrac{10}{3}\\ --\\ c,\dfrac{12}{25}+\dfrac{7}{25}+\dfrac{8}{25}=\dfrac{12+7+8}{25}=\dfrac{27}{25}\)
a) 3/5 + 4/7 + 2/5 + 1/7 + 2/7
= (3/5 + 2/5) + (4/7 + 1/7 + 2/7)
= 1 + 1
= 2
b) 1/3 + 1/6 + 4/3 + 2/6 + 2/3 + 3/6
= (1/3 + 4/3 + 2/3) + (1/6 + 2/6 + 3/6)
= 7/3 + 1
= 10/3
c) 12/25 + 7/25 + 8/12
= 27/25
\(1235\cdot6789\cdot\left(630-315\cdot2\right):1996\)
\(=1235\cdot6789\left(630-630\right):1996\)
=0
Thời gian làm việc:
8 giờ - 30 phút = 7 giờ 30 phút = 450 phút
Số túi vải người đó may được:
450 : 15 × 2 = 60 (túi)
Để \(\dfrac{11}{2n-1}\in Z\) thì \(11⋮2n-1\)
=>\(2n-1\in\left\{1;-1;11;-11\right\}\)
=>\(2n\in\left\{2;0;12;-10\right\}\)
=>\(n\in\left\{1;0;6;-5\right\}\)
\(\dfrac{1}{2}< \dfrac{2}{3}< \dfrac{3}{4}< \dfrac{5}{6}< \dfrac{6}{7}\)
\(\dfrac{5}{6}\) = 1 - \(\dfrac{1}{6}\); \(\dfrac{3}{4}=1-\dfrac{1}{4}\); \(\dfrac{6}{7}=1-\dfrac{1}{7}\); \(\dfrac{2}{3}=1-\dfrac{1}{3}\); \(\dfrac{1}{2}\) = 1 - \(\dfrac{1}{2}\)
Vì \(\dfrac{1}{2}>\dfrac{1}{3}>\dfrac{1}{4}>\dfrac{1}{6}>\dfrac{1}{7}\)
Vậy các phân số đã cho được sắp xếp theo thứ tự tăng dần là:
\(\dfrac{1}{2}\); \(\dfrac{2}{3}\); \(\dfrac{3}{4}\); \(\dfrac{5}{6}\); \(\dfrac{6}{7}\)
Bổ sung đề:
14/17 - 3/11 + 3/17 - 8/11
= (14/17 + 3/17) - (3/11 + 8/11)
= 1 - 1
= 0
\(\dfrac{14}{17}-\dfrac{3}{11}+\dfrac{3}{17}-\dfrac{8}{11}\\ =\left(\dfrac{14}{17}+\dfrac{3}{17}\right)-\left(\dfrac{3}{11}+\dfrac{8}{11}\right)\\ =\dfrac{14+3}{17}-\dfrac{3+8}{11}\\ =\dfrac{17}{17}-\dfrac{11}{11}\\ =1-1=0\)
\(\dfrac{2}{-9}=-\dfrac{2}{9}\\Xét:-\dfrac{2}{9}>-\dfrac{4}{9}\left(Do:-2>-4\right)\\ Nên:\dfrac{2}{-9}>\dfrac{-4}{9} \)
\(\dfrac{2}{-9}\) = \(\dfrac{-2}{9}\)
Vì \(\dfrac{4}{9}\) > \(\dfrac{2}{9}\) nên \(\dfrac{-4}{9}\) < \(\dfrac{-2}{9}\) = \(\dfrac{2}{-9}\)
Vậy \(-\dfrac{4}{9}\) < \(\dfrac{2}{-9}\)