tính thuận tiện 3/7+2/5+4/7
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`2/5 xx 4/7 + 3/5 xx 4/7`
`= 4/7 xx (2/5 + 3/5)`
`= 4/7 xx 1`
`= 4/7`
5/7+2/3-4/7+4/3
=(5/7+4/7)-(2/3+4/3)
=9/7+6/3
=27/21+42/21
=69/21
\(\dfrac{4}{7}x\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=\dfrac{4}{7}x1=\dfrac{4}{7}\)
\(\frac{2}{7}+\frac{1}{4}+\frac{5}{7}+\frac{3}{4}\)
\(=\)
\(\left(\frac{2}{7}+\frac{5}{7}\right)+\)\(\left(\frac{1}{4}+\frac{3}{4}\right)\)
\(=1+1\)
\(=2\)
\(\frac{2}{7}+\frac{1}{4}+\frac{5}{7}+\frac{3}{4}\)
\(=\left(\frac{2}{7}+\frac{5}{7}\right)+\left(\frac{1}{4}+\frac{3}{4}\right)\)
\(=1+1\)
\(=2.\)
a) 3 2/7 - 2/5 + 5/7 - 3/5
= 3 + 2/7 - (2/5 + 3/5) + 5/7
= 3 + (2/7 + 5/7) - 1
= 3 + 1 - 1
= 3
b) 5 4/7 - 4/9 + 1 3/7 - 5/9
= 5 + 4/7 - 4/9 + 1 + 3/7 - 5/9
= (5 + 1) + (4/7 + 3/7) - (4/9 + 5/9)
= 6 + 1 - 1
= 6
a) \(3\dfrac{2}{7}-\dfrac{2}{5}+\dfrac{5}{7}-\dfrac{3}{5}\)
\(=\left(\dfrac{23}{7}+\dfrac{5}{7}\right)-\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\)
\(=4-1\)
\(=3\)
b) \(5\dfrac{4}{7}-\dfrac{4}{9}+1\dfrac{3}{7}-\dfrac{5}{9}\)
\(=\left(\dfrac{32}{7}+\dfrac{10}{7}\right)-\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)
\(=6-1\)
\(=5\)
\(1.4\)
\(\frac{3}{7}+\frac{2}{5}+\frac{4}{7}\)
\(=\left(\frac{3}{7}+\frac{4}{7}\right)+\frac{2}{5}\)
\(=\frac{7}{7}+\frac{2}{5}\)
\(=1+\frac{2}{5}\)
\(=\frac{1}{1}+\frac{2}{5}\)
\(=\frac{5}{5}+\frac{2}{5}\)
\(=\frac{7}{5}\)