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26 tháng 8 2023

8/12 < 16/... < 8/11

16/24 < 16/... < 16/22

16/24 < 16/23 < 16/22

Vậy số cần tìm là 23

18 tháng 10 2023

\(1+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}\)

\(=\dfrac{5}{4}+\dfrac{1}{8}+\dfrac{1}{16}\)

\(=\dfrac{11}{8}+\dfrac{1}{16}\)

\(=\dfrac{23}{16}\)

______

\(2-\dfrac{1}{8}-\dfrac{1}{12}-\dfrac{1}{16}\)

\(=\dfrac{15}{8}-\dfrac{1}{12}-\dfrac{1}{16}\)

\(=\dfrac{43}{24}-\dfrac{1}{16}\)

\(=\dfrac{83}{48}\)

_________

\(\dfrac{4}{99}\times\dfrac{18}{5}:\dfrac{12}{11}+\dfrac{3}{5}\)

\(=\dfrac{8}{55}:\dfrac{12}{11}+\dfrac{3}{5}\)

\(=\dfrac{8}{55}\times\dfrac{11}{12}+\dfrac{3}{5}\)

\(=\dfrac{2}{15}+\dfrac{3}{5}\)

\(=\dfrac{11}{15}\)

__________

\(\left(1-\dfrac{3}{4}\right)\times\left(1+\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{3}\right)\)

\(=\dfrac{1}{4}\times\dfrac{4}{3}\times\dfrac{2}{3}\)

\(=\dfrac{4\times2}{4\times3\times3}\)

\(=\dfrac{2}{3\times3}\)

\(=\dfrac{2}{9}\)

21 tháng 10 2023

a) 1 + 1/4 + 1/8 + 1/16

= 16/16 + 4/16 + 2/16 + 1/16

= 23/16

b) 2 - 1/8 - 1/12 - 1/16

= 96/48 - 6/46 - 4/48 - 3/48

= 83/48

c) 4/99 × 18/5 : 12/11 + 3/5

= 8/55 : 12/11 + 3/5

= 2/15 + 3/5

= 2/15 + 9/15

= 11/15

d) (1 - 3/4) × (1 + 1/3) : (1 - 1/3)

= 1/4 × 4/3 : 2/3

= 1/3 : 2/3

= 2

21 tháng 10 2023

1 + 1/4 + 1/8 + 1/16

= 16 + 4 + 2 + 1 / 16

=23/16

2-1/8-1/12-1/16

= 96 - 6 - 4 - 3 / 48

= 83 / 48

4/99 x 18/5 : 12 /11 + 3/5

= 4/99 x 18/5 x 11/12 + 3/5

= 2/15 + 3/5

= 11/15

(1 - 3/4) x (1+1/3) : (1-1/3) 

= 1/4 x 4/3 : 2/3

= 1/4 x 4/3 x 3/2

= 1/2

24 tháng 4 2021

a, 1. \(\dfrac{2}{17}\)

2. \(22\)

3. 4

b,

1. \(\dfrac{8}{5}\)

2. \(\dfrac{176}{5}\)

3. \(\dfrac{28}{5}\)

4. \(\dfrac{3}{10}\)

5. \(\dfrac{163}{5}\)

6. \(\dfrac{9}{20}\)

a) \(\dfrac{12}{17}:6=\dfrac{12}{17}\cdot\dfrac{1}{6}=\dfrac{2}{17}\)

6 tháng 11 2023

5/8x16/7x21/25

=1/1x2/1x3/5

=6/5

11/12:22/30x6/15

=11/12x30/22x6/15

=1/2x1/2x1/2

=1/8

 

5/8x16/7x21/25

=1/1x2/1x3/5

=6/5

11/12:22/30x6/15

=11/12x30/22x6/15

=1/2x1/2x1/2

=1/8

1+(2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17)x0,000001

=1+(2+(3+17x10)+10)x0,000001

=1+(2+200+10)x0,000001

=1+212x0,000001

=1+0,000212

=1,000212

31 tháng 3 2016

1+2-3-4+5+6-...+301+302

đặt A=(1+2)+(5+6)+...+(301+302)=3+11+19+...+603

A=[(603-3):8+1]x(603+3)=75x606=45450

đặt B=-3-4-7-8-11-13-...-299-300

B=(-3-4)+(-7-8)+(-11-12)+..+(-299-300)

B=-(7+15+23+...+599)

B=-[(599-7):8+1]x(599+7)=45450

ta có:

1+2-3-4+5+6-7-8+...+301+302=A-B=45450-45450=0