which number lies between ⅕ and ¼
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Answer:
[tex] \sf \frac{9}{40} \: is \: correct \: answer[/tex]
Step-by-step explanation:
Infinite irrational number lies between two rational numbers!
For e.g. the given two numbers above are 1/5 and 1/4 which can be written as 0.2 and 0.25 respectively. the numbers lies between these two numbers can be 0.21, 0.211, 0.2111, 0.21111, 0.212, 0.213, 0.22, 0.213, 0.23, 0.24..... etc.
Another method to find the rational number lies between two rational numbers if they are not same then simply ad both the number and divide it with 2
let's solve this for above case,
[tex] \frac{\frac{1}{5} + \frac{1}{4}}{2} = \frac{\frac{4 + 5}{20}}{2} = \frac{9}{40} [/tex]
9/40 is the number lies between two numbers.
let's verify it,
9/40 = 0.225
1/5 = 0.2
1/4 = 0.25
[tex]0.2 < 0.225 < 0.25 \\ \frac{1}{5} < \frac{9}{40} < \frac{1}{4} [/tex]
Hence 9/40 is the correct answer!