SOLUTION: Insert 25 rational number between 1/2and5/1

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Question 996758: Insert 25 rational number between 1/2and5/1
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
recall:
Rational Numbers - any number that is either an integer "a" or is expressible as the ratio of two integers, a%2Fb. The numerator, "a", may be any whole number, and the denominator, "b", may be any positive whole number greater than zero. If the denominator happens to be unity,+b+=+1, the ratio is an integer. If "b" is other than 1,+a%2Fb+is a fraction.
to find 25 rational numbers between 1%2F2 and 5%2F1=5,solve inequality
1%2F2%3Cx%3C5 you can start with fractions, or you can pick numbers like
0.5%3Cx%3C5 and write them all as fractions; it’s easier way to find them
start with first number greater than 0.5
0.6%3Cx%3C5 =>6%2F10%3Cx%3C5 =>3%2F5%3Cx%3C5
0.7%3Cx%3C5=>7%2F10%3Cx%3C5
0.8%3Cx%3C5=>8%2F10%3Cx%3C5 =>4%2F5%3Cx%3C5+
0.9%3Cx%3C5=>9%2F10%3Cx%3C5
1%3Cx%3C5=>1%2F1%3Cx%3C5
1.1%3Cx%3C5=>11%2F10%3Cx%3C5
1.2%3Cx%3C5=>12%2F10%3Cx%3C5 =>6%2F5%3Cx%3C5
1.3%3Cx%3C5=>13%2F10%3Cx%3C5
1.4%3Cx%3C5=>14%2F10%3Cx%3C5 =>7%2F5%3Cx%3C5+
1.5%3Cx%3C5=>15%2F10%3Cx%3C5 =>3%2F5%3Cx%3C5+
1.6%3Cx%3C5=>16%2F10%3Cx%3C5 =>8%2F5%3Cx%3C5
1.7%3Cx%3C5=>17%2F10%3Cx%3C5
1.8%3Cx%3C5=>18%2F10%3Cx%3C5 =>9%2F5%3Cx%3C5+
1.9%3Cx%3C5=>19%2F10%3Cx%3C5
2%3Cx%3C5=>2%2F1%3Cx%3C5
2.1%3Cx%3C5=>21%2F10%3Cx%3C5+
2.2%3Cx%3C5=>22%2F10%3Cx%3C5 =>11%2F5%3Cx%3C5
2.3%3Cx%3C5=>23%2F10%3Cx%3C5
2.4%3Cx%3C5=>24%2F10%3Cx%3C5 =>12%2F5%3Cx%3C5
2.5%3Cx%3C5=>25%2F10%3Cx%3C5 =>5%2F2%3Cx%3C5
2.6%3Cx%3C5=>26%2F10%3Cx%3C5 =>13%2F5%3Cx%3C5
2.7%3Cx%3C5=>27%2F10%3Cx%3C5
2.8%3Cx%3C5=>28%2F10%3Cx%3C5=>24%2F5%3Cx%3C5
2.9%3Cx%3C5=>29%2F10%3Cx%3C5
3%3Cx%3C5=>3%2F1%3Cx%3C5
so, your numbers are:
1%2F2 < 3%2F5,7%2F10,4%2F5,9%2F10,1%2F1,11%2F10,6%2F5,13%2F10,7%2F5,3%2F5,8%2F5,17%2F10,9%2F5,19%2F10,2%2F1,21%2F10,11%2F5,23%2F10,12%2F5,5%2F2,13%2F5,27%2F10,24%2F5,29%2F10,3%2F1<5%2F1


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Insert 25 rational number between 1/2and5/1
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If you mean between 1/2 and 5:
1/2 = 50/100
--> 51/100, 52/100, 53/100, etc