The Rational number between 1/2 and 2/3 is :-
(A)
[tex] \frac{1}{5} [/tex]
(B)
[tex] \frac{2}{5} [/tex]
(C)
[tex] \frac{3}{5} [/tex]
(D)
[tex] \frac{4}{5} [/tex]
Also include Steps of Solution, and you will be marked as brainliest, if answer is appropriate.
(A)
[tex] \frac{1}{5} [/tex]
(B)
[tex] \frac{2}{5} [/tex]
(C)
[tex] \frac{3}{5} [/tex]
(D)
[tex] \frac{4}{5} [/tex]
Also include Steps of Solution, and you will be marked as brainliest, if answer is appropriate.
Answers & Comments
Answer:
LCM of 2 and 3 is 6.
1/2=3/6=9/18
2/3=4/6=12/18
10/18,11/18 are 2 rational numbers between 1/2 and 2/3.
Step-by-step explanation:
None of option is correct
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Verified answer
1/2 is equivalent to 0.5 and 2/3 is equivalent to 0.6666… which is non-terminating repeating decimal number.We want rational number between 0.5 and 0.6666667.
Let’s check one by one option.
1/5 is equivalent to 0.2 which is less than 0.5 itself so wrong.
2/5 is equal to 0.4 which is again wrong the same way as previous one.
3/5 is equivalent to 0.6 which lies between the said two decimal values.
4/5 is equal to 0.8 which is greater than 0.666667 or 2/3.
Hence the correct option is (C) i.e. 3/5.