Rational number between a and b is
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which a and b
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Step-by-step explanation:
Let us consider the two rational numbers a/b and c/d. Here a, b, c and d are integers and also b ≠ 0, d ≠ 0.
We can find many rational numbers between a/b and c/d using the two methods given below.
1. Formula method
2. Same denominator method
Formula Method
Let ‘a’ and ‘b’ be any two given rational numbers. We can find many rational numbers q1, q2, q3,...in between a and b as follows :
diagram in first attachment
The numbers q2, q3 lie to the left of q1. Similarly, q4, q5 are the rational numbers between ‘a’ and ‘b’ lie to the right of q1 as follows:
diagram in 2 attachment
Important Note :
Average of two numbers always lies between them.
Same Denominator Method
Let ‘a’ and ‘b’ be two rational numbers.
(i) Convert the denominator of both the fractions into the same denominator by taking LCM. Now, if there is a number between numerators there is a rational number between them.
(ii) If there is no number between their numerators, then multiply their numerators and denominators by 10 to get rational numbers between them.
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