rút gọn các phân số sau
a)\(\frac{6.9-2.18}{53.3-126}\)
b)\(\frac{21.17-6.17}{19.20-40}\)
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A = \(\frac{3.4+3.7}{6.5+9}\)
A = \(\frac{3.\left(4+7\right)}{3.\left(10+3\right)}\)
A = \(\frac{11}{13}\)
B = \(\frac{6.9-2.17}{63.3-119}\)
B = \(\frac{2.\left(27-17\right)}{7.\left(27-17\right)}\)
B = \(\frac27\) = \(\frac{26}{91}\)
A = \(\frac{11}{13}\) = \(\frac{77}{91}\)
\(\frac{3.4+3.7}{6.5+9}\)và \(\frac{6.9-2.17}{63.3-119}\)
\(\frac{3.4+3.7}{6.5+9}=\frac{3\left(4+7\right)}{30+9}=\frac{3.11}{39}=\frac{33}{39}=\frac{11}{13}\)
\(\frac{6.9-2.17}{63.3-119}=\frac{54-54}{63.3-11}=0\)
ta có:
\(\frac{3.4+3.7}{6.5+9}=\frac{3.\left(4+7\right)}{3.\left(2.5\right)+3.3}=\frac{3.\left(4+7\right)}{3.\left(2.5+3\right)}\)
\(=\frac{3.\left(4+7\right)}{3.\left(10+3\right)}=\frac{3.11}{3.13}=\frac{3}{3}.\frac{11}{13}=1.\frac{11}{13}=\frac{11}{13}\)
và \(\frac{6.9-2.17}{63.3-119}=\frac{2.\left(3.9\right)-2.17}{7.\left(9.3\right)-7.17}=\frac{2.\left(3.9-17\right)}{7.\left(9.3-17\right)}\)
\(=\frac{2}{7}.\frac{\left(3.9\right)-17}{\left(9.3\right)-17}=\frac{2}{7}.1=\frac{2}{7}\)
Vậy ta sẽ quy đồng mẫu số hai phân số: \(\frac{11}{13}\)và \(\frac{2}{7}\)(MSC: 91)
Ta có: \(\frac{11}{13}=\frac{11.7}{13.7}=\frac{77}{91}\)
và \(\frac{2}{7}=\frac{2.13}{7.13}=\frac{26}{91}\)
Ta còn quy đồng được tử số của hai phân số \(\frac{11}{13}\)và \(\frac{2}{7}\)(tử chung: 22)
ta có: \(\frac{11}{13}=\frac{11.2}{13.2}=\frac{22}{26}\)
và \(\frac{2}{7}=\frac{2.11}{7.11}=\frac{22}{77}\)
\(\frac{3.4+3.7}{6.5+9}\)
\(=\frac{3.\left(4+7\right)}{30+9}\)
\(=\frac{11}{13}\)
\(\frac{6.9-2.17}{63.3-119}\)
\(=\frac{54-34}{189-119}\)
\(=\frac{2}{7}\)
A = \(\frac{3.4+3.7}{6.5+9}\)
A = \(\frac{3.\left(4+7\right)}{3.\left(10+3\right)}\)
A = \(\frac{11}{13}\)
B = \(\frac{6.9-2.17}{63.3-119}\)
B = \(\frac{2.\left(27-17\right)}{7.\left(27-17\right)}\)
B = \(\frac27\)
A = \(\frac{11}{13}\) = \(\frac{77}{91}\)
B = \(\frac27=\frac{26}{91}\)
a)\(\frac{-315}{540}\)=\(\frac{7}{12}\)
b)\(\frac{25.13}{26.35}\)=\(\frac{5}{14}\)
c)\(\frac{6.9-2.17}{63.3-119}\)=\(\frac{4}{7}\)
d)\(\frac{2929-101}{2.1919+404}\)=\(\frac{2}{3}\)
Bài 1:
a: =-3/7
b: =-3/5
c: =1/13
d: =-1/2
Bài 2:
a: \(=\dfrac{21\cdot11}{22\cdot9}=\dfrac{1}{2}\cdot\dfrac{7}{3}=\dfrac{7}{6}\)
b: \(=\dfrac{49\cdot8}{10}=\dfrac{196}{5}\)
\(a,\frac{6\cdot9-2\cdot18}{53\cdot3-126}=\frac{2\cdot3\cdot3\cdot3-2\cdot3\cdot3\cdot2}{53\cdot3-53\cdot2}\)
\(=\frac{2\cdot3^3-2^2\cdot3^2}{53\cdot3-53\cdot2}=\frac{2\cdot3^2\cdot\left(3-2\right)}{53\cdot\left(3-2\right)}\)
\(=\frac{2\cdot9}{53}=\frac{18}{53}\)
\(b,\frac{21\cdot17-5\cdot17}{19\cdot20-40}=\frac{21\cdot17-5\cdot17}{19\cdot20-2\cdot20}\)
\(=\frac{17\left(21-5\right)}{20\cdot\left(19-2\right)}=\frac{17\cdot16}{20\cdot17}\)
\(=\frac{16}{20}=\frac{4}{5}\)
a, \(\frac{6.9-2.18}{53.3-126}=\frac{2.3.3.3-2.3.3.2}{53.3-53.2}\)
\(=\frac{2.3^3-2^2.3^2}{53.3-53.2}=\frac{2.3^2.\left(3-2\right)}{53.\left(3-2\right)}\)
\(=\frac{2.9}{53}=\frac{18}{53}\)
b, \(\frac{21.17-6.17}{19.20-40}=\frac{21.17-6.17}{19.20-2.20}\)
\(=\frac{17\left(21-6\right)}{20\left(19-2\right)}=\frac{17.15}{20.17}\)
\(=\frac{15}{20}=\frac{3}{4}\)
Study well ! >_<