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2 tháng 4 2023

\(\dfrac{30-x}{30}=\dfrac{8}{15}\)

\(\Rightarrow\left(30-x\right)15=30\times8\)

\(\Rightarrow\left(30-x\right)15=240\)

\(\Rightarrow30-x=240:15\)

\(\Rightarrow30-x=16\)

\(\Rightarrow x=30-16\)

\(\Rightarrow x=14\)

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\(\dfrac{x+30}{72}=\dfrac{5}{8}\)

\(\Rightarrow\left(x+30\right)8=5\times72\)

\(\Rightarrow\left(x+30\right)8=360\)

\(\Rightarrow x+30=360:8\)

\(\Rightarrow x+30=45\)

\(\Rightarrow x=45-30\)

\(\Rightarrow x=15\)

2 tháng 4 2023

\(\dfrac{30-x}{30}\) = \(\dfrac{5}{15}\)

\(\dfrac{30-x}{30}\) = \(\dfrac{1}{3}\)

30 - \(x\)   = \(\dfrac{1}{3}\) \(\times\) 30

30 - \(x\)  = 10

       \(x\)  =30 - 10

       \(x\) = 20

 \(\dfrac{x+30}{72}\) = \(\dfrac{5}{8}\) 

  \(x+30\) = \(\dfrac{5}{8}\) \(\times\) 72

  \(x+30\) = 45

 \(x\)          = 45 - 30

 \(x\)          = 15

2 tháng 4 2023

Đề y/c tìm x à em?

14 tháng 5 2022

11/9-5/6:15

=11/9-5/6.1/15

=11/9-1/18

=7/6

3/16+(-7/30).15/28

=3/16+(-1/8)

=3/16+(-2/16)

=1/16

14 tháng 5 2022

\(\dfrac{11}{9}-\dfrac{5}{6}:15=\dfrac{11}{9}-\dfrac{5}{6}\times\dfrac{1}{15}=\dfrac{11}{9}-\dfrac{5}{90}=\dfrac{110}{90}-\dfrac{5}{90}=\dfrac{105}{90}=\dfrac{7}{6}\)

 

\(\dfrac{3}{16}+\dfrac{-7}{30}\times\dfrac{15}{28}=\dfrac{3}{16}+\left(-\dfrac{1}{8}\right)=\dfrac{3}{16}-\dfrac{1}{8}=\dfrac{3}{16}-\dfrac{2}{16}=\dfrac{1}{16}\)

24 tháng 8 2023

a) \(\dfrac{21}{23}>\dfrac{19}{23}\)

\(\dfrac{8}{5}=\dfrac{49}{30}\)

\(\dfrac{23}{36}>\dfrac{5}{9}\)

b) \(\dfrac{11}{15}>\dfrac{11}{17}\)

\(\dfrac{26}{13}=2\)

\(3< \dfrac{16}{5}\)

c) \(\dfrac{8}{9}< 1\)

\(1< \dfrac{31}{27}\)

\(\dfrac{8}{9}< \dfrac{31}{27}\)

a: 4/9+3/7=28/63+27/63=55/63

3/4+7/24=18/24+7/24=25/24

1/3+2/9+4/27=9/27+6/27+4/27=19/27

b: 5/6-3/8=20/24-9/24=11/24

7/15-11/30=14/30-11/30=3/30=1/10

2/3+1/6-7/12

=8/12+2/12-7/12

=3/12=1/4

c: 18/25*15/6=15/25*18/6=3*3/5=9/5

30/49:6/7=30/49*7/6=210/294=5/7

1/2*3/4:6/5=3/8*5/6=15/48=5/16

d: 8*3/5:12/5=24/5*5/12=2

4:9/5:10/3=4*5/9*3/10=2/3

Bài 2: 

\(=\dfrac{28}{25}\cdot\dfrac{15}{7}\cdot5=\dfrac{75}{25}\cdot4=12\)

Bài 1: 

a: \(x+\dfrac{7}{8}=\dfrac{13}{2}:4=\dfrac{13}{8}\)

nên x=13/8-7/8=6/8=3/4

b: \(x:\dfrac{5}{3}=\dfrac{6}{5}-\dfrac{2}{3}=\dfrac{18-10}{15}=\dfrac{8}{15}\)

nên \(x=\dfrac{8}{15}\cdot\dfrac{5}{3}=\dfrac{8}{9}\)

12 tháng 11 2022

 60x [7/12+4/15]

60x153/180

=9180/180

b 1/2x2/3x3/4x4/5x5/6x6/7x7/8x8/9=40320/4032

\(=\left(\dfrac{1}{21}+\dfrac{1}{210}+\dfrac{1}{2010}\right)\cdot\dfrac{10-6-3-1}{30}=0\)

23 tháng 5 2022

\(\left(\dfrac{1}{3}-\dfrac{1}{5}-\dfrac{1}{10}-\dfrac{1}{30}\right)\times\left(\dfrac{1}{21}+\dfrac{1}{210}+\dfrac{1}{2010}\right)\)

\(=\left(\dfrac{10}{30}-\dfrac{6}{30}-\dfrac{3}{30}-\dfrac{1}{30}\right)\times\left(\dfrac{1}{21}+\dfrac{1}{210}+\dfrac{1}{2010}\right)\)

\(=0\times\left(\dfrac{1}{21}+\dfrac{1}{210}+\dfrac{1}{2010}\right)\)

\(=0\)

\(\Leftrightarrow\dfrac{a}{b}\left(\dfrac{7}{15}+\dfrac{8}{15}+10-1\right)=\dfrac{5}{7}\)

=>a/b=5/70=1/14

23 tháng 5 2022

1/14