tính bằng cách thuận tiện nhất: 2/5+3/4+1/4
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\(\dfrac{1}{4}+\dfrac{2}{5}+\dfrac{3}{4}+\dfrac{3}{5}\)
\(=\left(\dfrac{1}{4}+\dfrac{3}{4}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\)
\(=1+1\)
\(=2\)
#Sahara |
\(\frac{3}{4}+\frac{2}{5}+\frac{1}{4}+\frac{3}{5}\)
\(\Leftrightarrow\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{2}{5}+\frac{3}{5}\right)\)
\(=1+1\)
\(=2\)
\(\frac{3}{4}+\frac{2}{5}+\frac{1}{4}+\frac{3}{5}.\)
\(=\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{2}{5}+\frac{3}{5}\right)\)
\(=\frac{4}{4}+\frac{5}{5}\)
\(=1+1\)
\(=2\)
= 3/2 + 2/3 + 2/4 + 2/5
= (6/4 + 2/4) + (2/3 + 2/5)
= 8/4 + 16/ 15
= 46/15
\(\frac{3}{1\times2}+\frac{3}{2\times3}+...+\frac{3}{5\times6}\)
\(=3\left(\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{5\times6}\right)\)
\(=3\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{5}-\frac{1}{6}\right)\)
\(=3\left(1-\frac{1}{6}\right)=3\times\frac{5}{6}=\frac{5}{2}\)
=\(\frac{2}{5}+1\)
=\(\frac{7}{5}\)
\(\frac{2}{5}+\frac{3}{4}+\frac{1}{4}\)
\(=\frac{2}{5}+\left(\frac{3}{4}+\frac{1}{4}\right)\)
\(=\frac{2}{5}+1\)
\(=\frac{2}{5}+\frac{5}{5}\)
\(=\frac{7}{5}\)