find ten rational numbers between 1/4 and 1/2
Answers
Answer:
to find rational no b/w are three ways 1. 1/2(a+b)
2.x-y/n+1. 3. with lcm
we use here 3rd
take lcm of both 4,2=4
1/4 |….............|2/4. n+1= 10+1 = 11
11/44 |..............| 22/44
11/44 | 12/44,13/44,15/44,16/44,17/44,18/44,19/44,20/44,21/44 | 22/44
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To find Rational No. between any 2 given Rational No. :-
1) Make denominators same by taking LCM
2) Add 1 to the no. x, (In this case 10) Therefore 10+1 = 11.
3) Multiply the sum to Numerator and Denominator of both Numbers.
4) Find any x no. of Rational No. (In this case 10).
5) Simplify all the Rational No.
Therefore, After taking LCM 1/4 = 1/4 and 1/2 = 2/4
Now, Multiplying 1 more than what we have to find to both numerator and denominator of both the numbers.
1/4 × 11/11 = 11/44
2/4 × 11/11 = 22/44
Therefore, 10 Rational No. between 11/44 and 22/44 is :-
12/44, 13/44, 14/44, 15/44, 16/44, 17/44, 18/44, 19/44, 20/44 and 21/44
Now, Simplify the results
3/11, 13/44, 7/22, 15/44, 4/11, 17/44, 9/22, 19/44, 5/11 and 21/44 are the 10 Rational No. between 1/4 and 1/2.
Done!
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