rational number between 3/5 and 59/80
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Step-by-step explanation:
We know that rational numbers are any number that can be expressed in the form of pqpq, where qq cannot be zero.
1) First rational number between 3535 and 7878can be calculated by finding average between them, which is
⇒35+782⇒35+782
On adding the fractional numbers in numerator, we get
=24+35402=59402=24+35402=59402
On further simplification, we get
=5980=5980
Now, we have three numbers i.e. 3535, 59805980 and 7878 so other remaining rational numbers can be calculated by taking average between 3535 and 59805980, and between 59805980 and 7878.
2) Second rational number between 3535 and 59805980 can be calculated by finding the average between them.
⇒35+59802⇒35+59802
On adding the fractional numbers in numerator, we get
=48+59802=107802=48+59802=107802
On further simplification, we get
=107160=107160
3) The third rational number between 59805980 and 7878 can be calculated by finding the average between them.
⇒5980+782⇒5980+782
On adding the fractional numbers in numerator, we get
=5980+782=129802=5980+782=129802
On further simplification, we get
=129160=129160
Thus, the 3 rational number between 3535 and 7878are 107160107160, 59805980, and 129160129160.
Note:
Here we have used the average method to find the rational number between the given numbers. But we can also find the required rational number between the given numbers by just taking random numbers between the given numbers, which can be expressed in the form of pqpq, where qq cannot be zero.
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