-5/7 x 2/11 + 5/7 x 9/11 tính hợp lý
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-5/2×(2/11+9/11)×(-5/7+15/7)
-5/2×1×10/7
-5/2×10/7
25/7
a, -3/4 + 3/7 + -1/4 + 4/9 + 4/7
=\(\left(\frac{-3}{4}+\frac{-1}{4}\right)+\left(\frac{3}{7}+\frac{4}{7}\right)+\frac{4}{9}\)
=\(-1+1+\frac{4}{9}\)
=\(\frac{4}{9}\)
b, -7/9 x 4/11 + -7/9 x 7/11 + 5 và 7/9
\(=\frac{7}{9}x\frac{-4}{11}+\frac{7}{9}x\frac{-7}{11}+5x\frac{7}{9}\)
\(=\frac{7}{9}x\left(\frac{-4}{11}+\frac{-7}{11}+5\right)\)
\(=\frac{7}{9}x4\)
\(=\frac{28}{9}\)
c, ( 21/31 + 2013/6039 ) - ( 44/53 - 10/31) - /53
A=-5/7x2/11+-5/7x9/11+1+5/7
A=5/7x-2/11+5/7x-9/11+1+5/7
A=5/7x[-2/11+-9/11+1]+1
A=5/7x0+1
A=0+1
A=1
\(\left(\frac{2}{5}+\frac{7}{9}\right)+\frac{3}{5}\)
\(=\left(\frac{2}{5}+\frac{3}{5}\right)+\frac{7}{9}\)
\(=1+\frac{7}{9}=\frac{16}{9}\)
\(\frac{19}{11}+\left(\frac{8}{13}+\frac{3}{11}\right)\)
\(=\left(\frac{19}{11}+\frac{3}{11}\right)+\frac{8}{13}\)
\(=2+\frac{8}{13}=\frac{34}{13}\)
a) \(\left(\frac{2}{5}+\frac{7}{9}\right)+\frac{3}{5}\) = \(\left(\frac{2}{5}+\frac{3}{5}\right)+\frac{7}{9}\)= \(1+\frac{7}{9}\)=\(\frac{16}{9}\).
b) Tương tự, bn tự làm đi nha.
\(\frac{\frac{2}{5}-\frac{2}{9}+\frac{2}{11}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{11}}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}\)
\(=\frac{2\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}{7\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{2}\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{5}\right)}\)
\(=\frac{2}{7}:\frac{1}{\frac{7}{2}}=\frac{2}{7}:\frac{2}{7}=1\)
\(\dfrac{-5}{7}\cdot\dfrac{2}{11}+\dfrac{5}{7}\cdot\dfrac{9}{11}\)
\(=\dfrac{5}{7}\cdot\left(-\dfrac{2}{11}+\dfrac{9}{11}\right)\)
\(=\dfrac{5}{7}\cdot\dfrac{7}{11}=\dfrac{5}{11}\)
\(-\dfrac{5}{7}.\dfrac{2}{11}+\dfrac{5}{7}.\dfrac{9}{11}=\dfrac{5}{7}\left(-\dfrac{2}{11}+\dfrac{9}{11}\right)=\dfrac{5}{7}.\left(\dfrac{7}{11}\right)=\dfrac{5}{11}\)