5/12 x 2/5 + 3/5x5/12
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a) 197148:84=2347
101598:287=354
b)9/20-8/5x5/12= -13/60
2/3:4/5:7/12=10/7
4/9+11/8-5/6=71/72
tính :
a) 197148:84=2347
101598:287=354
b)9/20-8/5x5/12= -13/60
2/3:4/5:7/12=10/7
=4/9+11/8-5/6=71/72
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\(\dfrac{2}{5}\) x 5 + 4 x \(\dfrac{2}{5}\) + \(\dfrac{2}{5}\)
= \(\dfrac{2}{5}\) x (5 + 4 + 1)
= \(\dfrac{2}{5}\) x 10 = 4
(1 - \(\dfrac{1}{2}\) ) x (1 - \(\dfrac{3}{5}\) ) x (1 - \(\dfrac{2}{7}\) ) x (1 - \(\dfrac{2}{9}\) )
= \(\dfrac{1}{2}\) x \(\dfrac{2}{5}\) x \(\dfrac{5}{7}\) x \(\dfrac{7}{9}\)
= \(\dfrac{1}{9}\)
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\(a.\dfrac{3}{2}+\dfrac{-1}{3}< \dfrac{x}{6}< \dfrac{1}{9}+\dfrac{31}{18}\)
\(\Leftrightarrow\dfrac{7}{6}< \dfrac{x}{6}< \dfrac{11}{6}\)
\(\Leftrightarrow7< x< 11\)
\(\Leftrightarrow x\in\left\{8;9;10\right\}\)
\(b.\dfrac{-5}{12}+\dfrac{7}{12}+\dfrac{-1}{12}< \dfrac{x}{12}< \dfrac{2}{15}+\dfrac{1}{5}\)
\(\Leftrightarrow\dfrac{1}{12}< \dfrac{x}{12}< \dfrac{1}{3}\)
\(\Leftrightarrow\dfrac{1}{12}< \dfrac{x}{12}< \dfrac{4}{12}\)
\(\Leftrightarrow1< x< 4\)
\(\Leftrightarrow x\in\left\{2;3\right\}\)
5/12 x 2/5 + 3/5 x 5/12
= 5/12 x ( 2/5 + 3/5)
= 5/12 . 5/5
= 5/12