Math, asked by bheemashiva585, 8 months ago

Rational number between a and b is​

Answers

Answered by satyamtiwari4445
0

Answer:

which a and b

Answered by ashutoshmishra24
0

Answer:

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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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