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a) 3/8 = 81/216
5/27 = 40/216
b) 17/420 = 68/1680
-9/80 = -189/1680
c) 11/120
7/40 = 21/120
d) -7/10 = -231/330
1/33 = 10/330
g) 3/(-7) = -9/21
2/3 = 14/21
-1/3 = -7/21
h) -4/7 = -36/63
8/9 = 72/63
-10/21 = -30/63
l) 10/42 = 220/924
-3/28 = -99/924
-55/132 = -385/924
m) 5/(2².3) = 5/12 = 110/264
7/(2³.11) = 7/88 = 21/264
B = \(\dfrac{4}{7}\) = \(\dfrac{4.4}{7.4}\) = \(\dfrac{16}{28}\); I = \(\dfrac{6}{13}\) = \(\dfrac{6.\left(-2\right)}{13.\left(-2\right)}\) = \(\dfrac{-12}{-26}\)
N = \(\dfrac{-5}{13}\) = \(\dfrac{-5.3}{13.3}\) = \(\dfrac{-15}{39}\); T = \(\dfrac{7}{21}\) = \(\dfrac{7.4}{21.4}\) = \(\dfrac{28}{84}\)
U = \(\dfrac{4}{11}\) = \(\dfrac{4.5}{11.5}\) = \(\dfrac{20}{55}\); O = \(\dfrac{5}{25}\) = \(\dfrac{5.3}{25.3}\) = \(\dfrac{15}{75}\)
H = \(\dfrac{1}{5}\) = \(\dfrac{1.11}{5.11}\) = \(\dfrac{11}{15}\); A = \(\dfrac{5}{8}\) = \(\dfrac{5.5}{8.5}\) = \(\dfrac{25}{40}\)
G = \(\dfrac{-3}{17}\) = \(\dfrac{-3.5}{17.5}\) = \(\dfrac{-15}{85}\); D = \(\dfrac{4}{16}\) = \(\dfrac{4.5}{16.5}\) = \(\dfrac{20}{80}\)
T | H | A | I | B | I | N | H | D | U | O | N | G |
84 | 11 | 25 | -12 | 16 | -12 | -15 | 11 | 80 | 55 | 75 | -15 | 85 |
A=(3+5)2=82=64; B=32+582=9+3364=3373
=>A<B
C=(3+5)=8: D=33+53=27+125=152
=>C<D
Số tự nhiên có hai chữ số chia cho 9 dư 1 là: 10; 19; 28; 37; 46; 55; 64; 73; 82; 91.
Số tự nhiên có hai chữ số chia cho 10 dư 3 là: 13; 23; 33; 43; 53; 63; 73; 83; 93.
Như vậy chỉ có duy nhất số 73 chia cho 9 dư 1 và chia 10 dư 3. Ta thấy 73 chia 13 dư 8.
Vậy A chia cho 13 có số dư là 8.
Bài 3:
Gọi số học sinh là x
Theo đề, ta có: \(x-5\in BC\left(8;12;15\right)\)
mà 300<=x<=400
nên x=365
a)\(-1,6:\left(1+\dfrac{2}{3}\right)=-1,6:\dfrac{5}{3}=-\dfrac{8}{5}.\dfrac{3}{5}=\dfrac{-24}{25}\)
b)\(\left(\dfrac{-2}{3}\right)+\dfrac{3}{4}-\left(-\dfrac{1}{6}\right)+\left(\dfrac{-2}{5}\right)=-\dfrac{2}{3}+\dfrac{3}{4}+\dfrac{1}{6}-\dfrac{2}{5}=\dfrac{-40+45+10-24}{60}=\dfrac{-9}{60}=\dfrac{-3}{20}\)
c)\(\left(\dfrac{-3}{7}:\dfrac{2}{11}+\dfrac{-4}{7}:\dfrac{2}{11}\right).\dfrac{7}{33}=\left(\dfrac{-3}{7}.\dfrac{11}{2}+\dfrac{-4}{7}.\dfrac{11}{2}\right).\dfrac{7}{33}=\left[\dfrac{11}{2}\left(\dfrac{-3}{7}+\dfrac{-4}{7}\right)\right].\dfrac{7}{33}=\dfrac{-11}{2}.\dfrac{7}{33}=\dfrac{-7}{6}\)
d)\(\dfrac{-5}{8}+\dfrac{4}{9}:\left(\dfrac{-2}{3}\right)-\dfrac{7}{20}.\left(\dfrac{-5}{14}\right)=\dfrac{-5}{8}-\dfrac{4}{9}.\dfrac{3}{2}+\dfrac{1}{8}=\dfrac{-5}{8}+\dfrac{1}{8}-\dfrac{2}{3}=-\dfrac{7}{6}\)
a)\(\dfrac{-3}{12};-\dfrac{2}{3};-\dfrac{1}{-6};\dfrac{3}{4}\)
:v
\(a,-\left(m+n-k\right)+\left(m-k\right)-\left(-m+n\right)\\ =-m-n+k+m-k+m-n\\ =\left(-m+m+m\right)+\left(-n-n\right)+\left(k-k\right)\\ =m-2n\)
\(b,\left(x-y\right)-\left(x+y\right)-\left(2x-3y\right)\\ =x-y-x-y-2x+3y\\ =\left(x-x-2x\right)+\left(-y-y+3y\right)\\ =-2x+y\)