three different fraction between 2/3 and 3/4?

Question

what is the three fraction between 2/3 and 3/4?

three different fraction between 1/2 and 3/4?

Answer 1

Well, there are an infinite number of fractions between 2/3 and 3/4.  But here's one way to find three different fractions - put the fractions over larger common denominators until the difference between their numerators is 4 or more:

 

2/3 = 8/12 = 16/24 = 32/48

3/4 = 9/12 = 18/24 = 36/48

 

So three different fractions between 2/3 and 3/4 are 33/48, 34/48, 35/48

 

1/2 = 2/4 = 4/8 = 8/16

3/4 = 6/8 = 12/16

 

So three different fractions  between 1/2 and 3/4 are 9/16, 10/16 (=5/8), 11/16

Answer 2

      Another possible method of doing this is by using decimals. 

2/3 =0.6666666 and 3/4 =0,75 

So, 0.67, 0.68, 0.69 0.7 0.71,... 

so 67/100, 68/100, 69/100, 7/10 .......