\(\frac{-5}{7}.\frac{3}{13}-\frac57.\frac{10}{13}+1\frac57\)
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\(\dfrac{-5}{7}\cdot\dfrac{3}{13}-\dfrac{5}{7}\cdot\dfrac{10}{13}+1\dfrac{5}{7}=\dfrac{5}{7}\cdot\dfrac{-3}{13}-\dfrac{5}{7}\cdot\dfrac{10}{13}+\dfrac{12}{7}\cdot1=\dfrac{5}{7}\cdot\left(\dfrac{-3}{13}-\dfrac{10}{13}\right)+\dfrac{12}{7}=\dfrac{5}{7}-1+\dfrac{12}{7}=-\dfrac{5}{7}+\dfrac{12}{7}=\dfrac{7}{7}=1\)
\(\dfrac{8}{13}+\dfrac{4}{9}+\dfrac{1}{3}+\dfrac{5}{13}+3\)
\(=1+\dfrac{7}{9}+3\)
\(=4+\dfrac{7}{9}=\dfrac{43}{9}\)
\(\frac{1}{5}+\frac{5}{7}+\frac{1}{8}+\frac{13}{8}+\frac{4}{5}+\frac{4}{7}\)
\(=\left(\frac{1}{5}+\frac{4}{5}\right)+\left(\frac{5}{7}+\frac{4}{7}\right)+\left(\frac{1}{8}+\frac{13}{8}\right)\)
\(=1+\frac{9}{7}+\frac{7}{4}\)
\(=\frac{28}{28}+\frac{36}{28}+\frac{49}{28}\)
\(=\frac{113}{28}\)
Ai k mik mik k lại
`13/7+5/6+1/7+7/6`
`=(13/7+1/7)+(5/6+7/6)`
`=14/7+12/6`
`=2+2`
`=4`
\(\dfrac{3}{5}+\dfrac{6}{11}+\dfrac{7}{13}+\dfrac{2}{5}+\dfrac{16}{11}+\dfrac{19}{13}\\ =\left(\dfrac{3}{5}+\dfrac{2}{5}\right)+\left(\dfrac{6}{11}+\dfrac{16}{11}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)\\ =\dfrac{5}{5}+\dfrac{22}{11}+\dfrac{26}{13}\\ =1+2+2\\ =5\)
Tính bằng cách thuận tiện
\(\dfrac{7}{13}\) + \(\dfrac{5}{9}\) + \(\dfrac{6}{13}\) + \(\dfrac{5}{9}\)
`7/13+5/9+6/13+5/9`
`=(7/13+6/13)+(5/9+5/9)`
`=13/13+10/9`
`=1+10/9`
`=9/9+10/9`
`=19/9`
\(\frac{3}{5}+\frac{6}{11}+\frac{7}{13}+\frac{2}{5}+\frac{16}{11}+\frac{19}{13}=\left(\frac{3}{5}+\frac{2}{5}\right)\left(\frac{6}{11}+\frac{16}{11}\right)\left(\frac{7}{13}+\frac{19}{13}\right)=1+2+2=5\)
Ta có:3/5+2/5=5/5=1; 6/11+16/11=22/11=2; 7/13+19/13=26/13=2
kết quả là 1+2+2=5
\(\frac{12}{13}+\frac{2}{7}+\frac{8}{13}+\frac{5}{7}\)
\(=\frac{12}{13}+\frac{8}{13}+\frac{5}{7}+\frac{2}{7}\)
\(=\frac{20}{13}+1\)
\(=\frac{33}{13}\)
\(\frac{12}{13}+\frac{2}{7}+\frac{8}{13}+\frac{5}{7}\)
\(=\left(\frac{12}{13}+\frac{8}{13}\right)+\left(\frac{2}{7}+\frac{5}{7}\right)\)
\(=\frac{20}{13}+1\)
\(=\frac{33}{13}\)

\(\frac{-5}{7}\cdot\frac{3}{13}-\frac57\cdot\frac{10}{13}+1\frac57\)
\(=\frac57\cdot\frac{-3}{13}+\frac57\cdot\frac{-10}{13}+1+\frac57\)
\(=\frac57\cdot\left(\frac{-3}{13}+\frac{-10}{13}+1\right)+1\)
\(=\frac57\cdot\left(-1+1\right)+1\)
\(=\frac57\cdot0+1\)
\(=0+1=1\)
- \(\frac57\).\(\frac{3}{13}\) - \(\frac57\).\(\frac{10}{13}\) + 1\(\frac57\)
= -\(\frac57\).(\(\frac{3}{13}+\frac{10}{13}\)) + 1 + \(\frac57\)
= - 5/7. 1 + 5/7 + 1
= -5/7 + 5/7 + 1
= 0 + 1
= 1