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a) (-124) + 24 = -100
b) 37. 78 + 37. 22
= 37 . ( 78 + 22 )
= 37 . 100
= 3700
![](https://rs.olm.vn/images/avt/0.png?1311)
b: \(\dfrac{3}{4}-\dfrac{7}{15}+\dfrac{1}{4}+\dfrac{1}{2022}-\dfrac{8}{15}\)
\(=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)-\left(\dfrac{7}{15}+\dfrac{8}{15}\right)+\dfrac{1}{2022}\)
\(=1-1+\dfrac{1}{2022}=\dfrac{1}{2022}\)
c: \(\dfrac{3}{5}\cdot\dfrac{4}{7}+\dfrac{3}{7}\cdot\dfrac{9}{5}+\dfrac{13}{7}\cdot\dfrac{2}{5}\)
\(=\dfrac{3}{5}\cdot\dfrac{4}{7}+\dfrac{3}{5}\cdot\dfrac{9}{7}+\dfrac{13}{7}\cdot\dfrac{2}{5}\)
\(=\dfrac{3}{5}\left(\dfrac{4}{7}+\dfrac{9}{7}\right)+\dfrac{13}{7}\cdot\dfrac{2}{5}\)
\(=\dfrac{3}{5}\cdot\dfrac{13}{7}+\dfrac{13}{7}\cdot\dfrac{2}{5}\)
\(=\dfrac{13}{7}\left(\dfrac{3}{5}+\dfrac{2}{5}\right)=\dfrac{13}{7}\)
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\(=\dfrac{4}{5}\left(\dfrac{-11}{13}+\dfrac{-3}{5}\right)-\dfrac{1}{5}\\ =\dfrac{4}{5}\cdot\dfrac{-94}{65}-\dfrac{1}{5}=\dfrac{-144}{325}\)
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\(\dfrac{\dfrac{5}{3}-\dfrac{5}{7}+\dfrac{5}{9}}{\dfrac{10}{3}-\dfrac{10}{7}+\dfrac{10}{9}}=\dfrac{5\left(\dfrac{1}{3}-\dfrac{1}{7}+\dfrac{1}{9}\right)}{10\left(\dfrac{1}{3}-\dfrac{1}{7}+\dfrac{1}{9}\right)}=\dfrac{1}{2}\)
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e: =5/7(5/11+2/11-14/11)
=5/7(-7/11)=-5/11
f: =-5/4(2/11+9/11)+1+3/4
=-5/4+7/4
=2/4=1/2
g: =-5/7(3/13+10/13)+1+5/7
=-5/7+1+5/7
=1
h: =7/4(29/5-9/5)+41/13
=-7+41/13=-50/13
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5 5 13 − 1 1 2 + 3 5 13 = 5 5 13 − 1 1 2 − 3 5 13 = 5 5 13 − 3 5 13 − 1 1 2 = 2 − 3 2 = 1 2
= 3/7 + 15/26 - 2/13 + 3/7
=3/7 + (15/26 - 2/13)
=3/7 + 4/26
=.......