Bài 1: Tính bằng cách hợp lí: a, \(11\frac{1}{4}-\left(2\frac{5}{7}+5\frac{1}{4}\right)\)b, \(\left(8\frac{5}{11}+3\frac{5}{8}\right)-3\frac{5}{11}\)c, \(-\frac{1}{4}.13\frac{9}{11}-0,25.6\frac{2}{11}\)d, \(\frac{4}{9}:\left(-\frac{1}{7}\right)+6\frac{5}{9}:\left(-\frac{1}{7}\right)\)Bài 2: Tính bằng cách hợp lí( nếu...
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Bài 1: Tính bằng cách hợp lí:
a, \(11\frac{1}{4}-\left(2\frac{5}{7}+5\frac{1}{4}\right)\)
b, \(\left(8\frac{5}{11}+3\frac{5}{8}\right)-3\frac{5}{11}\)
c, \(-\frac{1}{4}.13\frac{9}{11}-0,25.6\frac{2}{11}\)
d, \(\frac{4}{9}:\left(-\frac{1}{7}\right)+6\frac{5}{9}:\left(-\frac{1}{7}\right)\)
Bài 2: Tính bằng cách hợp lí( nếu có)
a,\(\left(1,11+0,19-26\right):\left(2,06+0,54\right)-\left(\frac{1}{2}+\frac{1}{3}\right):2\)
b, \(\left(2\frac{1}{3}+3,5\right):\left(-4\frac{1}{6}+3\frac{1}{7}\right)+7,5\)
c, \(-15,5.20,8+3,5.9,2-15,5.9,2+3,5.20,8\)
Bài 3: Tìm x, biết:
a, \(\frac{2}{7}+x=20,75\)
b, \(-4\frac{1}{5}-x=2,25\)
c, \(x:8,5=2,2\)
d, \(\left(\frac{2x}{5}-1\right):\left(-5\right)=\frac{1}{7}\)
a)\(11\frac{1}{4}-\left(2\frac{5}{7}+5\frac{1}{4}\right)\)
\(=\frac{45}{4}-\left(\frac{19}{7}+\frac{21}{4}\right)\)
\(=\frac{45}{4}-\left(\frac{76}{28}+\frac{147}{28}\right)\)
\(=\frac{45}{4}-\frac{223}{28}\)
\(=\frac{315}{28}-\frac{223}{28}\)
\(=\frac{23}{7}\)
b) \(\left(8\frac{5}{11}+3\frac{5}{8}\right)-3\frac{5}{11}\)
\(=\left(\frac{93}{11}+\frac{29}{8}\right)-\frac{38}{11}\)
\(=\left(\frac{744}{88}+\frac{319}{88}\right)-\frac{38}{11}\)
\(=\frac{1063}{88}-\frac{38}{11}=\frac{1063}{88}-\frac{304}{88}\)
\(=\frac{69}{8}\)
1a) \(11\frac{1}{4}-\left(2\frac{5}{7}+5\frac{1}{4}\right)\)
\(=11\frac{1}{4}-2\frac{5}{7}-5\frac{1}{4}\)
\(=11\frac{1}{4}-5\frac{1}{4}-2\frac{5}{7}\)
\(=6-2\frac{5}{7}=3\frac{2}{7}=\frac{23}{7}\)
2a) \(x\div8,25=\left(-2,2\right)\)
\(\Leftrightarrow x=-18,15\)