Find five rational number between 1/5 and 1/2
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Heya..
Let's first make the denominator equal.. so let's take LCM
LCM of 5 and 2 is 5 * 2 = 10
Then... Make the denominator equal..
![\frac{1}{2} \ * \ \frac{5}{5} \ = \ \frac{5}{10} \frac{1}{2} \ * \ \frac{5}{5} \ = \ \frac{5}{10}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+%5C+%2A+%5C+%5Cfrac%7B5%7D%7B5%7D+%5C+%3D+%5C++%5Cfrac%7B5%7D%7B10%7D+)
Now..We need to find 5 rationals so lets multiply the fractions with 6
![\frac{5}{10} \ * \ \frac{6}{6} \ = \ \frac{30}{60} \frac{5}{10} \ * \ \frac{6}{6} \ = \ \frac{30}{60}](https://tex.z-dn.net/?f=+%5Cfrac%7B5%7D%7B10%7D++%5C+%2A+%5C++%5Cfrac%7B6%7D%7B6%7D++%5C+%3D+%5C++%5Cfrac%7B30%7D%7B60%7D+)
![\frac{2}{10} \ * \ \frac{6}{6} \ = \ \frac{12}{60} \frac{2}{10} \ * \ \frac{6}{6} \ = \ \frac{12}{60}](https://tex.z-dn.net/?f=+%5Cfrac%7B2%7D%7B10%7D++%5C+%2A+%5C++%5Cfrac%7B6%7D%7B6%7D++%5C+%3D+%5C+%5Cfrac%7B12%7D%7B60%7D+)
Now u can choose any 6 rationals between this..
![\frac{13}{60} \ , \ \frac{14}{60} \ , \ \frac{16}{60} \ , \ \frac{18 }{60} \ , \ \frac{20}{60} \ \frac{13}{60} \ , \ \frac{14}{60} \ , \ \frac{16}{60} \ , \ \frac{18 }{60} \ , \ \frac{20}{60} \](https://tex.z-dn.net/?f=+%5Cfrac%7B13%7D%7B60%7D++%5C+%2C+%5C++%5Cfrac%7B14%7D%7B60%7D+%5C+%2C+%5C++%5Cfrac%7B16%7D%7B60%7D++%5C+%2C+%5C++%5Cfrac%7B18+%7D%7B60%7D++%5C+%2C+%5C++%5Cfrac%7B20%7D%7B60%7D++%5C+)
Hope its right and helps...
And here CutieBarbie :)
Let's first make the denominator equal.. so let's take LCM
LCM of 5 and 2 is 5 * 2 = 10
Then... Make the denominator equal..
Now..We need to find 5 rationals so lets multiply the fractions with 6
Now u can choose any 6 rationals between this..
Hope its right and helps...
And here CutieBarbie :)
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