find a rational number between 1/7 and 2/7
Answers
3/14 is a rational number between 1/7 and 2/7
Given : Rational numbers 1/7 and 2/7
To Find : A rational number between 1/7 and 2/7
Solution:
Rational numbers are real numbers which can be written in the form p/q where p and q are integers and q≠0
All real numbers which are not rational are irrationals.
Note: There exist Infinite rational numbers between any two different rational numbers.
Easiest way to find a rational number between two rational numbers , is just to find their mean
Mean of 1/7 and 2/7
= (1/7 + 2/7)/2
= 3/14
3/14 is a rational number between 1/7 and 2/7
Another method :
Creating Equivalent fraction with same denominator and Gap in numerators
create equivalent fractions :
By dividing or multiplying the numerator and denominator of a given fraction by the same number except zero
a/ b = ak/bk k ≠ 0
a/b = (a/k) / (b/k) k ≠ 0
1/7 = 2/14
2/7 = 4/14
3/14 is in between 2/14 and 3/14
1/7 = 10/70
2/7 = 20/70
11/70 , 12/70 , 13/70 and so on till 19/70 , all are between 1/7 and 2/7
3/14 is a rational number between 1/7 and 2/7
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