Question

Insert two rational number between 2/5 and 5/7

Answer 1

Answer:

$\text{The rational numbers betweeen 2/5 and 5/7 are}$

$\bf\frac{39}{70}\textbf{ and }\bf\frac{67}{140}$

Explanation:

$\text{I have two found two rational numbers between 2/5 and 5/7 by using average method}$

$\textbf{A rational number between }\bf\frac{2}{5}\textbf{ and }\bf\frac{5}{7}\textbf{ is }$

$c_1=\frac{1}{2}[\frac{2}{5}+\frac{5}{7}]$

$c_1=\frac{1}{2}[\frac{14+25}{35}]$

$c_1=\frac{1}{2}[\frac{39}{35}]$

$\bf\,c_1=\frac{39}{70}$

$\textbf{A rational number between }\bf\frac{2}{5}\textbf{ and }\bf\frac{39}{70}\textbf{ is }$

$c_2=\frac{1}{2}[\frac{2}{5}+\frac{39}{70}]$

$c_2=\frac{1}{2}[\frac{28+39}{70}]$

$c_2=\frac{1}{2}[\frac{67}{70}]$

$\bf\,c_2=\frac{67}{140}$

Answer 2

Answer:

70

39

and

140

67

Explanation:

\text{I have two found two rational numbers between 2/5 and 5/7 by using average method}I have two found two rational numbers between 2/5 and 5/7 by using average method

\textbf{A rational number between }\bf\frac{2}{5}\textbf{ and }\bf\frac{5}{7}\textbf{ is }A rational number between

5

2

and

7

5

is

c_1=\frac{1}{2}[\frac{2}{5}+\frac{5}{7}]c

1

=

2

1

[

5

2

+

7

5

]

c_1=\frac{1}{2}[\frac{14+25}{35}]c

1

=

2

1

[

35

14+25

]

c_1=\frac{1}{2}[\frac{39}{35}]c

1

=

2

1

[

35

39

]

\bf\,c_1=\frac{39}{70}c

1

=

70

39

\textbf{A rational number between }\bf\frac{2}{5}\textbf{ and }\bf\frac{39}{70}\textbf{ is }A rational number between

5

2

and

70

39

is

c_2=\frac{1}{2}[\frac{2}{5}+\frac{39}{70}]c

2

=

2

1

[

5

2

+

70

39

]

c_2=\frac{1}{2}[\frac{28+39}{70}]c

2

=

2

1

[

70

28+39

]

c_2=\frac{1}{2}[\frac{67}{70}]c

2

=

2

1

[

70

67

]

\bf\,c_2=\frac{67}{140}c

2

=

140

67