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\(a)\left(2\dfrac{5}{6}+1\dfrac{4}{9}\right):\left(10\dfrac{1}{12}-9\dfrac{1}{2}\right)\)
\(=\left(\dfrac{17}{6}+\dfrac{13}{9}\right):\left(10\dfrac{1}{12}-9\dfrac{6}{12}\right)\)
\(=\left(\dfrac{153}{54}+\dfrac{78}{54}\right):\left(1\dfrac{-5}{12}\right)\)
\(=\dfrac{231}{54}:\dfrac{7}{12}\)
\(=\dfrac{198}{27}\)
\(b)\dfrac{0,8\left(\dfrac{4}{5}:1,25\right)}{0,64-\dfrac{1}{25}}\)
\(=\dfrac{0,8\left(0,8:1,25\right)}{0,64-0,04}\)
\(=\dfrac{0,8.0,64}{0,6}\)
\(=\dfrac{0,512}{0,6}\)\(=\dfrac{64}{75}\)
Dấu " / " là phân số nhé
a) 5/-4 . 16/25 + -5/4 . 9/25
= -5/4 . 16/25 + -5/4 . 9/25
= -5/4 . ( 16/25 + 9/25 )
= -5/4 . 1
= -5/4
b) 4 11/23 - 9/14 + 2 12/23 - 5/4
= 103/23 - 9/14 + 58/23 - 5/4
= 103/23 + 58/23 - 9/14 - 5/4
= 7 - 9/14 - 5/4
= 143/28
c) 2 13/27 - 7/15 + 3 14/27 - 8/15
= 67/27 - 7/15 + 95/27 - 8/15
= 67/27 + 95/27 - 7/15 - 8/15
= 6 - 7/15 - 8/15
= 5
a)\(\dfrac{-5}{9}+\dfrac{5}{9}:\left(1\dfrac{2}{3}-2\dfrac{1}{12}\right)\)
\(=\dfrac{-5}{9}+\dfrac{5}{9}:\left(\dfrac{20}{12}-\dfrac{25}{12}\right)\)
\(=\dfrac{-5}{9}+\dfrac{5}{9}\cdot\dfrac{-12}{5}\)
\(=\dfrac{-5}{9}+\dfrac{-12}{9}\)
\(=\dfrac{-17}{9}\)
b) \(\dfrac{-7}{25}\cdot\dfrac{11}{13}+\dfrac{-7}{25}\cdot\dfrac{2}{13}-\dfrac{18}{25}\)
\(=\dfrac{-7}{25}\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\)
\(=\dfrac{-7}{25}\cdot1-\dfrac{18}{25}\)
\(=\dfrac{-25}{25}\)
\(=-1\)
c) \(\left(\dfrac{5}{7}\cdot0,6-5:3\dfrac{1}{2}\right)\cdot\left(40\%-1,4\right)\cdot\left(-2\right)^3\)
\(=\left(\dfrac{3}{7}-\dfrac{10}{7}\right)\cdot\left(0,4-1,4\right)\cdot\left(-8\right)\)
\(=\left(-1\right)\cdot\left(-1\right)\cdot\left(-8\right)\)
\(=-8\)
1.a) 0,7 = \(\dfrac{7}{10}\) ; 0,94=\(\dfrac{94}{100}=\dfrac{47}{50}\) ; 2,7\(=\dfrac{27}{10}\) ; 4,567\(=\dfrac{4567}{1000}\)
b) \(\dfrac{1}{4}=0,25\) ; \(\dfrac{7}{5}=1,4\) ; \(\dfrac{16}{25}=0,64\) ; \(\dfrac{3}{2}=1,5\)
2.a) 0,6 = 60% ; 0,48 = 48% ; 6,25 = 625%
b) 7% = 0,07 ; 37% = 0,37 ; 785% = 7,85
3.a) \(\dfrac{1}{4}\)giờ = 0,25 giờ
\(\dfrac{3}{2}\)phút = 1,5 phút
\(\dfrac{2}{5}\)giờ = 0,4 giờ
b) \(\dfrac{3}{4}\)kg = 0,75kg
\(\dfrac{7}{10}\)m = 0,7m
\(\dfrac{3}{5}\)km = 0,6km
4.a) 7,305 ; 7,35 ; 7,6 ; 7,602
b) 62,3 ; 61,98 ; 54,7 ; 54,68
5.
0,3< 0,31 ; 0,32 ; 0,33 <0,4
6.
\(\dfrac{7}{10}=0,7\) ; \(\dfrac{7}{100}=0,07\) ; \(6\dfrac{38}{100}=6,38\) ; \(\dfrac{2014}{1000}=2,014\)
\(\dfrac{3}{2}=1,5\) ; \(\dfrac{2}{5}=0,4\) ; \(\dfrac{5}{8}=0,625\) ; \(1\dfrac{1}{4}=1.25\)
bài này trong sách giáo khoa lớp 5 đúng ko dù bây h anh lớp 6
a: \(\Leftrightarrow\dfrac{8}{5}+\dfrac{2}{5}\cdot x=\dfrac{16}{5}\)
=>2/5x=8/5
=>x=4
b: \(\Leftrightarrow\left(\dfrac{1}{24}-\dfrac{1}{25}+\dfrac{1}{25}-\dfrac{1}{26}+...+\dfrac{1}{39}-\dfrac{1}{40}\right)\cdot120+\dfrac{1}{3}x=-4\)
\(\Leftrightarrow x\cdot\dfrac{1}{3}+2=-4\)
=>1/3x=-6
=>x=-18
c: =>2|x-1/3|=0,24-4/5=-0,56<0
a: 2/9=4/18
1/3=6/18
5/18=5/18
b: 7/15=14/30
1/5=6/30
-5/6=-25/30
c: -21/56=-3/7
-3/16=-63/336
5/24=70/336
-21/56=-3/7=-144/336
d: \(\dfrac{-4}{7}=\dfrac{-36}{63}\)
8/9=56/63
\(-\dfrac{10}{21}=-\dfrac{30}{63}\)
e: 3/-20=-3/20=-9/60
-11/-30=11/30=22/60
7/15=28/60
\(7\dfrac{3}{10}=\dfrac{73}{10};9\dfrac{25}{100}=\dfrac{37}{4};3\dfrac{2}{5}=\dfrac{17}{5};7\dfrac{1}{4}=\dfrac{29}{4};1\dfrac{1}{25}=\dfrac{26}{5}\)
a) \(7\dfrac{3}{10}=\dfrac{73}{10}=7.3\)
b)9\(\dfrac{25}{100}=9\dfrac{1}{4}=\dfrac{37}{4}=9.25\)
c)3\(\dfrac{2}{5}=\dfrac{12}{5}=2.4\)
d)\(7\dfrac{1}{4}=\dfrac{29}{4}=7.25\)
e)1\(\dfrac{1}{25}=\dfrac{26}{25}=1.04\)