Question

find a rational number lying between 3/8 and 2/5

Answer 1

Answer:

A rational number lying between $\frac{3}{8}\: and \: \frac{2}{5}$ = $\frac{31}{80}$

Step-by-step explanation:

We know that,

A rational number lying between any two Rational numbers a and b is $\frac{(a+b)}{2}$

Now ,

Here , $a=\frac{3}{8} , b = \frac{2}{5}$

A rational number lying between $\frac{3}{8} \: and \frac{2}{5} \: is \: \left(\frac{\frac{3}{8}+\frac{2}{5}}{2}\right)</p><p>= \frac{\frac{(15+16)}{40}}{2}$

=$\frac{\frac{31}{40}}{2}$

= $\frac{31}{40} \times \frac{1}{2}$

= $\frac{31}{80}$

Therefore,

A rational number lying between $\frac{3}{8}\: and \: \frac{2}{5}$ = $\frac{31}{80}$

Note:

We can insert infinitly many Rational numbers between

any two given rational numbers.

[Density property]

•••

Answer 2

Answer: 31/80

Step-by-step explanation: