37−xx+13 7=37
Tinh A
(3/7-3/13+3/37)/(5/7-5/13+5/37)+(1/2-1/3+1/4-1/5)/(7/5-7/4+7/3-7/2)
5/13*23+7/23*37+9/37*55+5/55*c6
\(\dfrac{19}{37}-\dfrac{31}{24}-\dfrac{-19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}\)
Sửa đề : \(-\dfrac{19}{37}=\dfrac{19}{37}\)
\(\dfrac{19}{37}-\dfrac{31}{24}-\dfrac{19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}\)
\(=\dfrac{19}{37}-\dfrac{31}{24}+\dfrac{19}{37}+\dfrac{31}{24}-\dfrac{2}{13}\)
\(=\left(\dfrac{19}{37}-\dfrac{19}{37}\right)+\left(-\dfrac{31}{24}+\dfrac{31}{24}\right)-\dfrac{2}{13}=-\dfrac{2}{13}\)
Sửa đề: \(\dfrac{19}{37}-\dfrac{31}{24}+\dfrac{-19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}\)
Ta có: \(\dfrac{19}{37}-\dfrac{31}{24}+\dfrac{-19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}\)
\(=\left(\dfrac{19}{37}+\dfrac{-19}{37}\right)+\left(\dfrac{-31}{24}+1+\dfrac{7}{24}\right)-\dfrac{2}{13}\)
\(=\dfrac{-2}{13}\)
\(\dfrac{19}{37}-\dfrac{31}{24}-\dfrac{-19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}=\dfrac{19}{37}-\dfrac{31}{24}+\dfrac{19}{37}+\dfrac{31}{24}-\dfrac{2}{13}=\left(\dfrac{19}{37}+\dfrac{19}{37}\right)+\left(\dfrac{-31}{24}+\dfrac{31}{24}\right)-\dfrac{2}{13}=\dfrac{38}{31}+0-\dfrac{2}{13}=\dfrac{122}{403}\)
\(\frac{7}{30}.\frac{12}{37}+\frac{12}{30}.\frac{23}{37}.\frac{13}{31}-\frac{-25}{37}.\frac{18}{31}\)
d)-37.(-19)+37.(-19)
e)(29-9).(-9)+(-13-7).21
h)12.(-47)+12.(-19)+(-66).88
d: \(-37\cdot\left(-19\right)+37\left(-19\right)\)
\(=-19\left(-37+37\right)\)
\(=-19\cdot0=0\)
e: \(\left(29-9\right)\cdot\left(-9\right)+\left(-13-7\right)\cdot21\)
\(=20\cdot\left(-9\right)+\left(-20\right)\cdot21\)
\(=-20\left(9+21\right)\)
\(=-20\cdot30=-600\)
h: \(12\cdot\left(-47\right)+12\left(-19\right)+\left(-66\right)\cdot88\)
\(=12\left(-47-19\right)+\left(-66\right)\cdot88\)
\(=\left(-66\right)\cdot12+\left(-66\right)\cdot88\)
\(=-66\left(12+88\right)\)
\(=-66\cdot100=-6600\)
B=11/13×40/13+37/5÷7/33-(11/13+33/7÷5/2)
Ta có: \(B=\dfrac{11}{13}\cdot\dfrac{40}{13}+\dfrac{37}{5}:\dfrac{7}{33}-\left(\dfrac{11}{13}+\dfrac{33}{7}:\dfrac{5}{2}\right)\)
\(=\dfrac{440}{169}+\dfrac{37}{5}\cdot\dfrac{33}{7}-\dfrac{11}{13}-\dfrac{33}{7}\cdot\dfrac{2}{5}\)
\(=\dfrac{297}{169}+\dfrac{33}{7}\cdot\left(\dfrac{37}{5}-\dfrac{2}{5}\right)\)
\(=\dfrac{297}{169}+\dfrac{33}{7}\cdot7\)
\(=\dfrac{297}{169}+33=\dfrac{5874}{169}\)
CMR nếu 7.x+4y chia hết 37 thì 13.x+18.y chia hết 37
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A = 34 / 7 x 13 + 51/ 13 x 22 + 85/ 22 x 37 + 68 / 37 x 49
Tính A và so sánh A với 17 / 24
\(A=\frac{34}{7.13}+\frac{51}{13.22}+\frac{85}{22.37}+\frac{68}{37.49}\)
\(=\frac{17.2}{7.13}+\frac{17.3}{13.22}+\frac{17.5}{22.37}+\frac{17.4}{37.49}\)
\(=17\left(\frac{2}{7.13}+\frac{3}{13.22}+\frac{5}{22.37}+\frac{4}{37.49}\right)\)
\(=\frac{17}{3}\left(\frac{6}{7.13}+\frac{9}{13.22}+\frac{15}{22.37}+\frac{12}{37.49}\right)\)
\(=\frac{17}{3}\left(\frac{1}{7}-\frac{1}{13}+\frac{1}{13}-\frac{1}{22}+...+\frac{1}{37}-\frac{1}{49}\right)\)
\(=\frac{17}{3}\left(\frac{1}{7}-\frac{1}{49}\right)\)\(=\frac{17}{3}.\frac{6}{49}=\frac{17.2}{49}=\frac{34}{49}\)
Có : \(\frac{17}{24}=\frac{34}{48}\)
Vì 48 < 49 => \(\frac{34}{48}>\frac{34}{49}\). Hay \(\frac{17}{24}>A\)
tim tỉ số A/B biết
A=34/7*13+51/13*22+85/22*37+68/37*49
B=39/7*16+65/16*31+52/31*43+26/43*49