Question

1) insert three fraction between

1/5 and 3/7

2) 5¹/2 and 7¹/3

Please give me the answer soon as possible please

Answer 1

Inserting a fraction between two given fractions are discussed below:

If ^a/_b and ^c/_d are two given fractions and ^a/_b < ^c/_dthen
^a/_b < ^(a+c)/_(b+d) < ^c/_d.


now let's discuss our question.

(1)
1/5 and 3/7.

​​​​​(i) a=1 b=5 c=3 d=7
1+3/5+7 =4/12=1/3.
(ii)we insert a fraction between 1/5 and 1/3 which will become automatically less than 3/7.
a=1 b=5 c=1 d=3
1+1/5+3=2/8=1/4
(iii)
a=1 b=5 c=1 d=4
1+1/5+4 =2/9

So, 3 fractions are ,
1/3,1/4,/2/9.


(2)
do not ask multiple questions.