1và 4/23(hỗn sô) + 5/11 - 4/23 + 6/11 + 0,5
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\(1\dfrac{4}{23}+\dfrac{5}{11}-\dfrac{4}{23}+\dfrac{6}{11}+0,5\)
\(=\left(1\dfrac{4}{23}-\dfrac{4}{23}\right)+\left(\dfrac{5}{11}+\dfrac{6}{11}\right)+0,5\)
\(=1+1+0,5=2+0,5=2,5\)
\(=\left(1+\dfrac{4}{23}-\dfrac{4}{23}\right)+\dfrac{5}{11}+\dfrac{6}{11}+\dfrac{1}{2}=1+1+\dfrac{1}{2}=\dfrac{5}{2}\)
a, 64 . 23 + 37 . 23 - 23
= 23. (64 + 37 - 1)
= 23 . 100
=2300
b, 33,76 + 19,52 + 6,24
= (33,76 + 6,24) + 19,52
= 40 + 19,52
= 59,52
c, 38/11 + (16/13 + 6/11)
= 38/11 + 16/13 + 6/11
= (38/11 + 6/11) + 16/13
= 4 + 16/13
= 52/13 + 16/13
= 68/13
d, 3/4 : 3/5 - 1/5
= 3/4 . 5/3 - 1/5
= 5/4 - 1/5
= 25/20 - 4/20
= 21/20
e, \(5\frac{3}{4}\div\frac{12}{13}+6\frac{1}{4}\div\frac{12}{13}\)
\(=\frac{23}{4}\cdot\frac{13}{12}+\frac{25}{4}\cdot\frac{13}{12}\)
\(=\frac{13}{12}\cdot\left(\frac{23}{4}+\frac{25}{4}\right)\)
\(=\frac{13}{12}\cdot12=13\)
f, S = 1 + 2 + 3 + 4 + ... + 99 + 100
Số số hạng của S là :
(100 - 1) : 1 + 1 = 100 (số hạng)
Tổng của S là :
(1 + 100) . 100 : 2 = 5050
Vậy S = 5050
Dấu " . " là dấu nhân nhé :D
Giải:
a) \(25\%-\dfrac{5}{4}+\dfrac{11}{6}\)
\(=\dfrac{1}{4}-\dfrac{5}{4}+\dfrac{11}{6}\)
\(=-1+\dfrac{11}{6}\)
\(=\dfrac{5}{6}\)
Vậy ...
b) \(75\%:\dfrac{11}{5}-\left(0,5\right)^2.\left(-7\right)+2,5\left(\dfrac{23}{3}-\dfrac{17}{3}\right)\)
\(=\dfrac{3}{4}:\dfrac{11}{5}-\dfrac{1}{4}.\left(-7\right)+2,5.2\)
\(=\dfrac{15}{44} +\dfrac{7}{4}+5\)
\(=\dfrac{23}{11}+5\)
\(=\dfrac{78}{11}\)
Vậy ...
c) \(45:\dfrac{18}{7}+50\%-1,25\)
\(=45:\dfrac{18}{7}+\dfrac{1}{2}-\dfrac{5}{4}\)
\(=\dfrac{35}{2}+\dfrac{1}{2}-\dfrac{5}{4}\)
\(=18-\dfrac{5}{4}\)
\(=\dfrac{67}{4}\)
Vậy ...
23/4=\(5\dfrac{3}{4}\)
41/5=\(8\dfrac{1}{5}\)
57/6=\(9\dfrac{3}{6}\)
-26/6=\(-4\dfrac{2}{6}\)
-8/3=\(-2\dfrac{2}{3}\)
\(\dfrac{23}{4}=5\dfrac{3}{4}\)
\(\dfrac{41}{5}=8\dfrac{1}{5}\)
\(\dfrac{57}{6}=9\dfrac{3}{6}\)
\(-\dfrac{26}{6}=-4\dfrac{2}{6}\)
\(-\dfrac{8}{3}=-2\dfrac{2}{3}\)
1.\(\left(-\frac{6}{5}+\frac{6}{16}-\frac{6}{23}\right):\left(\frac{9}{5}-\frac{9}{16}+\frac{9}{23}\right)\)
\(=6\left(-\frac{1}{5}+\frac{1}{16}-\frac{1}{23}\right):\left(-9\right)\left(\frac{-1}{5}+\frac{1}{16}-\frac{1}{23}\right)\)
\(=6:\left(-9\right)=-\frac{2}{3}\)
2. \(\frac{\frac{3}{7}-\frac{3}{11}+\frac{3}{13}}{\frac{5}{7}-\frac{5}{11}+\frac{5}{13}}+\frac{0.5-\frac{1}{3}+\frac{1}{4}}{-\frac{3}{2}+1-\frac{3}{4}}\)
\(=\frac{3\left(\frac{1}{7}-\frac{1}{11}+\frac{1}{13}\right)}{5\left(\frac{1}{7}-\frac{1}{11}+\frac{1}{13}\right)}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{-3\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}\right)}\)
\(=\frac{3}{5}-\frac{1}{3}\)
\(=\frac{9}{13}-\frac{5}{15}=\frac{4}{15}\)
\(a.=\left(\dfrac{4}{5}.\dfrac{5}{6}\right).\dfrac{2}{3}=\dfrac{4}{6}.\dfrac{2}{3}=\dfrac{4}{9}\)
\(b.\dfrac{4}{5}.\dfrac{3}{4}+\dfrac{5}{4}.\dfrac{3}{4}=\dfrac{3}{5}+\dfrac{15}{16}=\dfrac{123}{80}\)
\(c.\left(\dfrac{11}{23}+\dfrac{9}{23}\right)+\left(\dfrac{2}{23}+\dfrac{18}{23}\right)=\dfrac{20}{23}+\dfrac{20}{23}=\dfrac{40}{23}\)
\(d.\left(\dfrac{27}{12}-\dfrac{25}{36}\right)+\left(\dfrac{17}{6}-\dfrac{15}{6}\right)=\dfrac{14}{9}+\dfrac{1}{3}=\dfrac{17}{9}\)
1: \(\dfrac{4}{23}+\dfrac{5}{21}+\dfrac{1}{2}-\dfrac{4}{23}+\dfrac{16}{21}\)
\(=1+\dfrac{1}{2}\)
\(=\dfrac{3}{2}\)
2: \(\left(\dfrac{1}{3}+\dfrac{12}{67}+\dfrac{13}{41}\right)-\left(\dfrac{79}{67}-\dfrac{28}{41}\right)\)
\(=\dfrac{1}{3}+\dfrac{12}{67}+\dfrac{13}{41}-\dfrac{79}{67}+\dfrac{28}{41}\)
\(=\dfrac{1}{3}\)
\(1\dfrac{4}{23}+\dfrac{5}{11}-\dfrac{4}{23}+\dfrac{6}{11}+0,5=\dfrac{27}{23}+\dfrac{5}{11}-\dfrac{4}{23}+\dfrac{6}{11}+0,5\)
\(=\left(\dfrac{27}{23}-\dfrac{4}{23}\right)+\left(\dfrac{5}{11}+\dfrac{6}{11}\right)+0,5=\dfrac{23}{23}+\dfrac{11}{11}+0,5\)
\(=1+1+0,5=2,5\)