Question

A Rational Number Between 1/7 And 2/7 Is A) 1/14 B) 2/21 C) 5/14 D) 5/21

Answer 1

Answer:

D) 5/21

FOR FINDING RATIONAL NO.S

MULTIPLY WITH WITH 2/2

1×2/7×2= 2/14

2×2/7×2= 4/14

WE DID NOT GET ANY R. NO. WHICH ARE GIVEN IN QUESTIONS THEREFOR MULTIPLY BOTH NO.S BY 3/3

1×3/7×3=3/21

2×3/7×3= 6/21

BETWEEN 3/21 AND 6/21 THERE COMES RATIONAL NO. = 5/21.

Step-by-step explanation:

Answer 2

5/21 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.

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

Multiplying and dividing by 3

1/7  =  3/21

2/7   = 6/21

2/21 is less than 3/21

5/21 is in between    

Multiplying and dividing by 2

1/7  =  2/14

2/7   = 4/14

1/14 is less than 2/14

5/14 is more than 4/14

Hence correct answer is D)  5/21

5/21 is a rational number between 1/7 and 2/7  

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