Question

which of the following lies between rational numbers 1/4 and 1/5 ?
(a)2/3 (b) 0.3 (c) 11/50 (d)1/3​

Answer 1

b)0.3 is correct answer.

Answer 2

Option c: The rational number $\frac{11}{50}$ lies between the rational numbers $\frac{1}{4}$ and $\frac{1}{5}$

Explanation:

Given that the numbers $\frac{1}{4}$ and $\frac{1}{5}$

Simplifying the term $\frac{1}{4}$, we have,

$\frac{1}{4}=0.25$

Also, simplifying the term $\frac{1}{5}$ , we have,

$\frac{1}{5}=0.2$

We need to find the rational number that lies between 0.25 and 0.2

Option a: $\frac{2}{3}$

Simplifying, we get,

$\frac{2}{3}=0.66667$

The rational number 0.66667 does not lie between 0.25 and 0.2

Hence, the rational number $\frac{2}{3}$ does not lies between the terms $\frac{1}{4}$ and $\frac{1}{5}$

Therefore, Option a is not the correct answer.

Option b: 0.3

The rational number 0.3 does not lie between 0.25 and 0.2

Hence, the rational number 0.3 does not lies between the terms $\frac{1}{4}$ and $\frac{1}{5}$

Therefore, Option b is not the correct answer.

Option c: $\frac{11}{50}$

Simplifying, we get,

$\frac{11}{50}=0.22$

The rational number 0.22 lies between 0.25 and 0.2

Hence, the rational number $\frac{11}{50}$ lies between the terms $\frac{1}{4}$ and $\frac{1}{5}$

Therefore, Option c is the correct answer.

Option d: $\frac{1}{3}$

Simplifying, we get,

$\frac{1}{3}=0.3333$

The rational number 0.3333 does not lies between 0.25 and 0.2

Hence, the rational number $\frac{1}{3}$ does not lies between the terms $\frac{1}{4}$ and $\frac{1}{5}$

Therefore, Option d is not the correct answer.

Learn more:

(1) Find three rational numbers lying between 1/5 and 1/4

brainly.in/question/1219851

(2) Find three rational numbers lying between 1/5 and 1/4. (By average method )

brainly.in/question/3524487