Question

how to find rational numbers between two numbers? Give steps​

Answer 1

Step-by-step explanation:

please see in an attachment

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Answer 2

hey user !

Answer:

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

Step-by-step explanation:

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 :

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:

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.

To get more rational numbers, multiply by 100, 1000 and so on.

Important Note :

By following different methods one can get different rational numbers between ‘a’ and ‘b’.