Suppose we have 2 fractions like 2/7 and 4/9.
We may like to find more fractions with values between these two.There is a method for this.In general if a/b and c/d are 2 fractions,then the fraction (a+c)/(b+d) will have values between those two.You can thus find as many fractions as you want between 2/7 and 4/9.
I have shown some of them below.
Let A=2/7 and B=4/9.The first fraction in between C=(2+4)/(7+9)=6/16=3/8
Next D between 2/7 and 3/8=5/15=1/3.Next E between 3/8 and 4/9=7/17and so on.The following is a more detailed list-
2/7,5/17,3/10,4/13,1/3,5/14,4/11,7/19,3/8,5/13,2/5,9/22,7/17,18/43,11/26,3/7,4/9.You can expand the list to whatever length you wish.
We may like to find more fractions with values between these two.There is a method for this.In general if a/b and c/d are 2 fractions,then the fraction (a+c)/(b+d) will have values between those two.You can thus find as many fractions as you want between 2/7 and 4/9.
I have shown some of them below.
Let A=2/7 and B=4/9.The first fraction in between C=(2+4)/(7+9)=6/16=3/8
Next D between 2/7 and 3/8=5/15=1/3.Next E between 3/8 and 4/9=7/17and so on.The following is a more detailed list-
2/7,5/17,3/10,4/13,1/3,5/14,4/11,7/19,3/8,5/13,2/5,9/22,7/17,18/43,11/26,3/7,4/9.You can expand the list to whatever length you wish.
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