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1/1+2+1/1+2+3+1/1+2+3+4+1/1+2+3+4+5
=1/3+1/6+1/10+1/15
lấy mẫu số chung là 30,ta có:
10/30+5/6+3/10+2/30
=20/30=2/3
\(\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{5}\right)x\left(1-\frac{1}{6}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.\frac{5}{6}\)
\(=\frac{1.2.3.4.5}{2.3.4.5.6}=\frac{1}{6}\)
(3/10+4/5x1/2):1/8/9-1/1/3
=(3/10+4/10):17/9-4/3
=7/10:17/9-4/3
=63/170-4/3
=-491/510
=17/6+1/2×13/3-9/4:3/5
=17/6+13/6-9/4×5/3
=17/6+13/6-15/4
=68+52-90/24
=30/24
=5/4
\(2\frac{5}{6}+0,5\times4\frac{1}{3}-2\frac{1}{4}:\frac{3}{5}\)
\(=\frac{17}{6}+\frac{1}{2}\times\frac{13}{3}-\frac{9}{4}:\frac{3}{5}\)
\(=\frac{17}{6}+\frac{13}{6}-\frac{9}{4}\times\frac{5}{3}\)
\(=5-\frac{9\times5}{4\times3}\)
\(=5-\frac{3\times5}{4\times1}\)
\(=5-\frac{15}{4}=\frac{20-15}{4}=\frac{5}{4}\)
\(3\frac{4}{7}4\frac{2}{5}2\frac{1}{2}\)
\(=\frac{275}{7}\)
\(3\frac{1}{5}+\frac{3}{4}-\frac{1}{2}:\frac{2}{7}=\frac{16}{5}+\frac{3}{4}-\frac{7}{4}=\frac{11}{5}\)
\(3\frac{4}{7}4\frac{2}{5}2\frac{1}{2}=\frac{275}{7}\)
\(3\frac{1}{5}+\frac{3}{4}+\frac{1}{2}:\frac{2}{7}\)
\(=3\frac{1}{5}+\frac{3}{4}+\frac{7}{4}\)
\(=\frac{11}{5}\)
\(6\frac{1}{2}-2\frac{1}{3}\div\frac{7}{15}\)
=\(\frac{13}{2}-\frac{7}{3}\div\frac{7}{15}\)
=\(\frac{13}{2}-5\)
=\(\frac{3}{2}\)