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\(B=\left(5-\dfrac{3}{4}+\dfrac{1}{5}\right)-\left(6+\dfrac{7}{4}-\dfrac{8}{5}\right)-\left(2-\dfrac{5}{4}+\dfrac{16}{5}\right)\)
\(=5-\dfrac{3}{4}+\dfrac{1}{5}-6-\dfrac{7}{4}+\dfrac{8}{5}-2+\dfrac{5}{4}-\dfrac{16}{5}\)
\(=\left(5-6-2\right)+\left(-\dfrac{3}{4}-\dfrac{7}{4}+\dfrac{5}{4}\right)+\left(\dfrac{1}{5}+\dfrac{8}{5}-\dfrac{16}{5}\right)\)
\(=-3+\dfrac{-5}{4}+\dfrac{-7}{5}=-3-1,25-1,4=-5,65\)
a) \(\dfrac{-3}{100}>\dfrac{-50}{100}=-\dfrac{1}{2}\)
\(\dfrac{-2}{3}< \dfrac{-1,5}{3}=-\dfrac{1}{2}\)
\(\Rightarrow\dfrac{-3}{100}>\dfrac{-2}{3}\)
b) \(\dfrac{-3}{5}=\dfrac{-9}{15}\)
\(\dfrac{-2}{3}=\dfrac{-10}{15}\)
Mà: - 9 > -10
\(\Rightarrow-\dfrac{9}{15}>\dfrac{-10}{15}\)
hay `-3/5>-2/3`
c) \(\dfrac{-5}{4}< \dfrac{-2}{4}=-\dfrac{1}{2}\)
\(-\dfrac{3}{8}>\dfrac{-4}{8}=-\dfrac{1}{2}\)
\(\Rightarrow-\dfrac{5}{4}< \dfrac{-3}{8}\)
d) \(-\dfrac{2}{3}=\dfrac{1}{3}-1\)
\(-\dfrac{3}{4}=\dfrac{1}{4}-1\)
Vì: `1/3>1/4`
`=>1/3-1>1/4-1`
Hay `-2/3>-3/4`
a: \(\dfrac{-3}{100}=\dfrac{-3\cdot3}{100\cdot3}=\dfrac{-9}{300};\dfrac{2}{-3}=\dfrac{-2}{3}=\dfrac{-2\cdot100}{3\cdot100}=\dfrac{-200}{300}\)
mà -9>-200
nên \(\dfrac{-3}{100}>\dfrac{-2}{3}\)
b: \(\dfrac{-3}{5}=\dfrac{-3\cdot3}{5\cdot3}=\dfrac{-9}{15};\dfrac{2}{-3}=\dfrac{-2}{3}=\dfrac{-2\cdot5}{3\cdot5}=\dfrac{-10}{15}\)
mà -9>-10
nên \(\dfrac{-3}{5}>\dfrac{2}{-3}\)
c: \(\dfrac{-5}{4}=\dfrac{-5\cdot2}{4\cdot2}=\dfrac{-10}{8};\dfrac{-3}{8}=\dfrac{-3}{8}\)
mà -10<-3
nên \(-\dfrac{5}{4}< -\dfrac{3}{8}\)
d: \(\dfrac{-2}{3}=\dfrac{-2\cdot4}{3\cdot4}=\dfrac{-8}{12};\dfrac{3}{-4}=\dfrac{-3}{4}=\dfrac{-3\cdot3}{4\cdot3}=\dfrac{-9}{12}\)
mà -8>-9
nên \(-\dfrac{2}{3}>\dfrac{3}{-4}\)
e: \(\dfrac{267}{-268}=\dfrac{-267}{268}>-1;-1=\dfrac{-1343}{1343}>\dfrac{-1347}{1343}\)
Do đó: \(\dfrac{267}{-268}>\dfrac{-1347}{1343}\)
f: \(\dfrac{2022\cdot2023-1}{2022\cdot2023}=1-\dfrac{1}{2022\cdot2023}\)
\(\dfrac{2023\cdot2024-1}{2023\cdot2024}=1-\dfrac{1}{2023\cdot2024}\)
Ta có: 2022<2024
=>\(2022\cdot2023< 2023\cdot2024\)
=>\(\dfrac{1}{2022\cdot2023}>\dfrac{1}{2023\cdot2024}\)
=>\(-\dfrac{1}{2022\cdot2023}< -\dfrac{1}{2023\cdot2024}\)
=>\(\dfrac{-1}{2022\cdot2023}+1< \dfrac{-1}{2023\cdot2024}+1\)
=>\(\dfrac{2022\cdot2023-1}{2022\cdot2023}< \dfrac{2023\cdot2024-1}{2023\cdot2024}\)
g: \(\dfrac{2022\cdot2023}{2022\cdot2023+1}=1-\dfrac{1}{2022\cdot2023+1}\)
\(\dfrac{2023\cdot2024}{2023\cdot2024+1}=1-\dfrac{1}{2023\cdot2024+1}\)
Vì \(2022\cdot2023+1< 2023\cdot2024+1\)
nên \(\dfrac{1}{2022\cdot2023+1}>\dfrac{1}{2023\cdot2024+1}\)
=>\(\dfrac{-1}{2022\cdot2023+1}< \dfrac{-1}{2023\cdot2024+1}\)
=>\(\dfrac{-1}{2022\cdot2023+1}+1< \dfrac{-1}{2023\cdot2024}+1\)
=>\(\dfrac{2022\cdot2023}{2022\cdot2023+1}< \dfrac{2023\cdot2024}{2023\cdot2024+1}\)
\(\dfrac{2}{3}-\left(-\dfrac{1}{4}\right)+\dfrac{3}{5}-\dfrac{7}{45}-\left(-\dfrac{5}{9}\right)+\dfrac{1}{12}+\dfrac{1}{35}\\ =\dfrac{2}{3}+\dfrac{1}{4}+\dfrac{3}{5}-\dfrac{7}{45}+\dfrac{5}{9}+\dfrac{1}{12}+\dfrac{1}{35}\\ =\left(\dfrac{2}{3}+\dfrac{1}{4}+\dfrac{1}{12}\right)+\left(\dfrac{3}{5}+\dfrac{5}{9}-\dfrac{7}{45}\right)+\dfrac{1}{35}\\ =\left(\dfrac{8}{12}+\dfrac{3}{12}+\dfrac{1}{12}\right)+\left(\dfrac{27}{45}+\dfrac{25}{45}-\dfrac{7}{45}\right)+\dfrac{1}{35}\\ =\dfrac{12}{12}+\dfrac{45}{45}+\dfrac{1}{35}\\ =1+1+\dfrac{1}{35}\\ =2+\dfrac{1}{35}\\ =\dfrac{70}{35}+\dfrac{1}{35}=\dfrac{71}{35}\)
\(\dfrac{2}{3}-\left(-\dfrac{1}{4}\right)+\dfrac{3}{5}-\dfrac{7}{45}-\left(-\dfrac{5}{9}\right)+\dfrac{1}{12}+\dfrac{1}{35}\)
\(=\dfrac{2}{3}+\dfrac{1}{4}+\dfrac{3}{5}-\dfrac{7}{45}+\dfrac{5}{9}+\dfrac{1}{12}+\dfrac{1}{35}\)
\(=\left(\dfrac{2}{3}+\dfrac{1}{4}+\dfrac{1}{12}\right)+\left(\dfrac{3}{5}+\dfrac{1}{35}\right)+\left(-\dfrac{7}{45}+\dfrac{5}{9}\right)\)
\(=\left(\dfrac{8}{12}+\dfrac{3}{12}+\dfrac{1}{12}\right)+\left(\dfrac{21}{35}+\dfrac{1}{35}\right)+\left(-\dfrac{7}{45}+\dfrac{25}{45}\right)\)
\(=1+\dfrac{22}{35}+\dfrac{18}{45}\)
\(=\dfrac{315}{315}+\dfrac{198}{315}+\dfrac{126}{315}\)
\(=\dfrac{71}{35}\)
$1,4$ giờ $\times4+3$ giờ $12$ phút $:6$
$=5,6$ giờ $+3,2$ giờ $:6$
$=5,6$ giờ $+\frac{8}{15}$ giờ
$=5$ giờ $36$ phút + $32$ phút
$=5$ giờ $68$ phút $=6$ giờ $8$ phút
$---$
$1\frac34$ giờ $+2$ giờ $18$ phút $\times 5-1,5$ giờ
$=1,75$ giờ $+2,3$ giờ $\times5-1,5$ giờ
$=(1,75$ giờ $-1,5$ giờ$)+11,5$ giờ
$=0,25$ giờ $+11,5$ giờ
$=11,75$ giờ $= 11$ giờ $45$ phút
a: 1,4 giờ x4+3h12p:6
=5,6 giờ+192p:6
=5,6 giờ+32p
=5h36p+32p=6h8p
b: Bạn ghi lại đề đi bạn
Thuế VAT mà bác Minh phải trả khi mua chiếc điện thoại là:
\(10\%\cdot7990000=799000\left(đ\right)\)
Số tiền mà bác Minh phải trả khi mua chiếc điện thoại là:
\(7990000+799000=8789000\left(đ\right)\)
\(C=\left(6-\dfrac{2}{3}+\dfrac{5}{16}\right)-\left(2+\dfrac{4}{3}-\dfrac{7}{8}\right)-\left(6-\dfrac{5}{8}+\dfrac{13}{12}\right)\)
\(=6-\dfrac{2}{3}+\dfrac{5}{16}-2-\dfrac{4}{3}+\dfrac{7}{8}-6+\dfrac{5}{8}-\dfrac{13}{12}\)
\(=\left(6-2-6\right)+\left(-\dfrac{2}{3}-\dfrac{4}{3}\right)+\left(\dfrac{5}{16}+\dfrac{7}{8}+\dfrac{5}{8}\right)-\dfrac{13}{12}\)
\(=-2-2+\left(\dfrac{5}{16}+\dfrac{12}{8}\right)-\dfrac{13}{12}\)
\(=-4-\dfrac{13}{12}+\dfrac{29}{16}=-\dfrac{157}{48}\)
\(C=\left(6-\dfrac{2}{3}-\dfrac{5}{10}\right)-\left(2+\dfrac{4}{3}-\dfrac{7}{8}\right)-\left(6-\dfrac{5}{8}+\dfrac{13}{12}\right)\)
\(=6-\dfrac{2}{3}-\dfrac{5}{10}-2-\dfrac{4}{3}+\dfrac{7}{8}-6+\dfrac{5}{8}-\dfrac{13}{12}\)
\(=\left(6-2-6\right)+\left(-\dfrac{2}{3}-\dfrac{4}{3}\right)+\left(\dfrac{7}{8}+\dfrac{5}{8}\right)+\left(\dfrac{-5}{10}-\dfrac{13}{12}\right)\)
\(=\left(-2\right)+\left(-2\right)+\dfrac{3}{2}+\dfrac{-19}{12}\)
\(=\left(-4\right)+\dfrac{18}{12}+\dfrac{-19}{12}\)
\(=\left(-4\right)+\dfrac{-1}{12}\)
\(=\dfrac{-48}{12}+\dfrac{-1}{12}\)
\(=\dfrac{-49}{12}\)