Find 6 rational numbers between 3 and 4
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Here is ur answer...........
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payal138:
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Answered by
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Hey friend,
Here is the answer you were looking for:
We can write 3 and 4 as
![\frac{3}{1} \: and \: \frac{4}{1} \\ \\ \frac{3}{1} \: and \: \frac{4}{1} \\ \\](https://tex.z-dn.net/?f=+%5Cfrac%7B3%7D%7B1%7D++%5C%3A+and+%5C%3A++%5Cfrac%7B4%7D%7B1%7D+%5C%5C++%5C%5C++)
Now, to find out 6 rational numbers between 3 and 4, we will multiply 7/7 to both the numbers :
![\frac{3}{1} \times \frac{7}{7} = \frac{21}{7} \\ \\ \frac{4}{1} \times \frac{7}{7} = \frac{28}{1} \\ \frac{3}{1} \times \frac{7}{7} = \frac{21}{7} \\ \\ \frac{4}{1} \times \frac{7}{7} = \frac{28}{1} \\](https://tex.z-dn.net/?f=+%5Cfrac%7B3%7D%7B1%7D++%5Ctimes++%5Cfrac%7B7%7D%7B7%7D++%3D++%5Cfrac%7B21%7D%7B7%7D++%5C%5C++%5C%5C++%5Cfrac%7B4%7D%7B1%7D++%5Ctimes++%5Cfrac%7B7%7D%7B7%7D++%3D++%5Cfrac%7B28%7D%7B1%7D++%5C%5C+)
So, the 6 rational numbers are :
![\frac{22}{7} \: : \: \frac{23}{7} \: : \: \frac{24}{7} \: : \: \frac{25}{7} \: : \: \frac{26}{7} \: : \: \frac{27}{7} \\ \frac{22}{7} \: : \: \frac{23}{7} \: : \: \frac{24}{7} \: : \: \frac{25}{7} \: : \: \frac{26}{7} \: : \: \frac{27}{7} \\](https://tex.z-dn.net/?f=+%5Cfrac%7B22%7D%7B7%7D++%5C%3A++%3A++%5C%3A++%5Cfrac%7B23%7D%7B7%7D++%5C%3A++%3A++%5C%3A++%5Cfrac%7B24%7D%7B7%7D++%5C%3A++%3A++%5C%3A++%5Cfrac%7B25%7D%7B7%7D++%5C%3A++%3A+++%5C%3A++%5Cfrac%7B26%7D%7B7%7D++%5C%3A++%3A++%5C%3A++%5Cfrac%7B27%7D%7B7%7D++%5C%5C+)
Hope this helps!!
If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.
@Mahak24
Thanks...
☺☺
Here is the answer you were looking for:
We can write 3 and 4 as
Now, to find out 6 rational numbers between 3 and 4, we will multiply 7/7 to both the numbers :
So, the 6 rational numbers are :
Hope this helps!!
If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.
@Mahak24
Thanks...
☺☺
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