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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 |
Bài 2:
\(a,\dfrac{-1}{3}.\dfrac{5}{7}=\dfrac{-5}{21}\\ b,\dfrac{1}{2}.\dfrac{-3}{4}=\dfrac{-3}{8}\\ c,\dfrac{19}{7}.\dfrac{7}{15}=\dfrac{19.1}{1.15}=\dfrac{19}{15}\\ d,\dfrac{5}{11}:\left(-9\right)=\dfrac{5}{11}.\dfrac{-1}{9}=\dfrac{-5}{99}\\ e,-1:\dfrac{3}{5}=-1.\dfrac{5}{3}=-\dfrac{5}{3}\\ f,\dfrac{-2}{9}:\dfrac{2}{9}:\dfrac{-9}{14}=-\left(\dfrac{2}{9}:\dfrac{2}{9}\right).\dfrac{-14}{9}=-1.\dfrac{-14}{9}=\dfrac{14}{9}\\ k,\left(-\dfrac{2}{7}\right)^2=\left(-1\right)^2.\left(\dfrac{2}{7}\right)^2=1.\dfrac{2^2}{7^2}=\dfrac{4}{49}\\ l,\dfrac{1}{3}.\left(\dfrac{1}{3}\right)^3=\left(\dfrac{1}{3}\right)^4=\dfrac{1^4}{3^4}=\dfrac{1}{243}\\ m,\left(-\dfrac{1}{2}\right)^2.\left(\dfrac{1}{2}\right)^3=\left(-1\right)^2.\left(\dfrac{1}{2}\right)^{2+3}=1.\left(\dfrac{1}{2}\right)^5=1.\dfrac{1^5}{2^5}=\dfrac{1}{32}\)
Bài 1:
\(a,\dfrac{1}{-8}+\dfrac{-5}{8}=\dfrac{-1}{8}+\dfrac{-5}{8}=\dfrac{-\left(1+5\right)}{8}=-\dfrac{6}{8}=\dfrac{-6:2}{8:2}=-\dfrac{3}{4}\\ b,\dfrac{1}{7}+\dfrac{-3}{7}=\dfrac{1-3}{7}=-\dfrac{2}{7}\\ c,\dfrac{-12}{35}+\dfrac{-7}{35}=\dfrac{-\left(12+7\right)}{35}=\dfrac{-19}{35}\\ d,\dfrac{1}{6}+\dfrac{2}{5}=\dfrac{1.5+2.6}{6.5}=\dfrac{5+12}{30}=\dfrac{17}{30}\\ e,\dfrac{3}{5}+\dfrac{-7}{4}=\dfrac{3.4-7.5}{5.4}=\dfrac{12-35}{20}=\dfrac{-23}{20}\\ g,-2-\left(-\dfrac{1}{5}\right)=-2+\dfrac{1}{5}=\dfrac{-2.5+1}{5}=\dfrac{-9}{5}\\ h,\dfrac{2}{3}-\left(-1\right)=\dfrac{2}{3}+1=\dfrac{5}{3}\\ i,4-\dfrac{2}{3}=\dfrac{4.3-2}{3}=\dfrac{12-2}{3}=\dfrac{10}{3}\\ j,\dfrac{3}{4}-2=\dfrac{3-2.4}{4}=\dfrac{-5}{4}\\ k,-1-\left(-\dfrac{2}{3}\right)=-1+\dfrac{2}{3}=\dfrac{-1.3+2}{3}=\dfrac{-3+2}{3}=-\dfrac{1}{3}\)
Khoảng cách có rồi thì bạn áp dụng công thức : \(\frac{a}{m.n}=\frac{1}{m}-\frac{1}{n}\)(với n-m=a) là làm được
S=\(\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{93.95}+\frac{3}{95.98}+\frac{4}{98.102}+\frac{5}{102.17}+\frac{2012}{107..2119}\)
S=\(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{93}-\frac{1}{95}+\frac{1}{95}-\frac{1}{98}+\frac{1}{98}-\frac{1}{102}+\frac{1}{102}-\frac{1}{107}+\frac{1}{107}-\frac{1}{2119}\)
S=\(\frac{1}{5}-\frac{1}{2119}\)
S=\(\frac{2114}{10595}\)
Câu 13:
a) 50%x=-3/4
x=-3/4:50%
x=-3/2
(1,4x-16):2/3=-45
1,4x-16 =-45.2/3
1,4x-16 =-30
1,4x =-30+16
1,4x =-14
x =-14:1,4
x =-10
b)A=[1 13/15.(-13/97-53/-79)-13/15:-79/53].(1/3-0,25-3/4.1/9)/ 2/5+5+1,75
A=[1 13/15.(-13/97-53/-79)-13/15:-79/53].(1/3-0,25-1/12)/ 2/5+5+1,75
A=[1 13/15.(-13/97-53/-79)-13/15:-79/53].0/ 2/5+5+1,75
A=0/ 2/5+5+1,75
A=0
Câu 14:
Giải
a) Số h/s của lớp 6A là:
16:2/5=40 (h/s)
b) Số h/s giỏi của lớp 6A là:
40.3/20=6 (h/s)
Số h/s khá của lớp 6A là:
40-(16+6)=18 (h/s)
=(1-2)-(3-4)+(5-6)-(7-8)+...+(2021-2022)-2023
=(-1)-(-1)+(-1)-...+(-1)-2023
=0-2023
=-2023
1; \(\dfrac{7}{15}\) + \(\dfrac{8}{15}\) = \(\dfrac{7+8}{15}\) = \(\dfrac{15}{15}\) = 1
2; \(\dfrac{1}{2}\) - \(\dfrac{1}{14}\) = \(\dfrac{1.7}{2.7}\) - \(\dfrac{1}{14}\) = \(\dfrac{7-1}{14}\) = \(\dfrac{6}{14}\) = \(\dfrac{3}{7}\)
3; \(\dfrac{8}{28}\) + \(\dfrac{-21}{35}\) = \(\dfrac{2}{7}\) + \(\dfrac{-21}{35}\)= \(\dfrac{10}{35}\) + \(\dfrac{-21}{35}\) = \(\dfrac{-11}{35}\)
4; \(\dfrac{3}{4}\) + \(\dfrac{2}{3}\) - \(\dfrac{9}{6}\) = \(\dfrac{9}{12}\) + \(\dfrac{8}{12}\) - \(\dfrac{18}{12}\) = \(\dfrac{9+8-18}{12}\) = \(\dfrac{-1}{12}\)
5; \(\dfrac{11}{36}\)- \(\dfrac{-7}{-24}\) = \(\dfrac{22}{72}\) + \(\dfrac{21}{72}\) = \(\dfrac{53}{72}\)
6; \(\dfrac{4}{15}\) + \(\dfrac{9}{5}\) - \(\dfrac{7}{3}\) = \(\dfrac{4}{15}\) + \(\dfrac{27}{15}\) - \(\dfrac{35}{15}\) = \(\dfrac{-4}{15}\)
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