Question

The rational number lying between 7 and 8 is
(1) 36/10
(2) 72/10
(3) 5/18
(4) 75/100
please give step by step explanation​

Answer 1

Answer:

72/10

Step-by-step explanation:

as 72/10 = 7.2

and 7.2 lies between 7 and 8.

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Answer 2

We need to recall the following definition of a rational number,

Rational number: Any number which can be represented in the form  $\frac{p}{q}$ is called a rational number.

We have to find the rational number lying between $7$ and $8$.

Option $(1)$ : $36/10$

$\frac{36}{10}=3.6$

$3.6 < 7$

Hence, this option is incorrect.

Option  $(2)$ : $72/10$

$\frac{72}{10}=7.2$

Since $7 < 7.2 < 8$

Hence, this option is correct.

Option  $(3)$ : $5/18$

$\frac{5}{18}=0.2777...$

$0.277... < 7$

Hence, this option is incorrect.

Option  $(4)$ : $75/100$

$\frac{75}{100}=0.75$

$3.6 < 7$

Hence, this option is incorrect.