Question

Find the rational number between 3/8 and2/5

Answer 1

3/8 x 50/50 = 150/400
2/5 x 80/80= 160/400

:---151/400 , 152/400 , 153/400 , 154/400 , 155/400 , 156/400 , 157/400 , 158/400 , 159/400

Answer 2

Answer:

$\frac{151}{400},\frac{152}{400},\frac{153}{400},\frac{154}{400},\frac{155}{400},\frac{156}{400},\frac{157}{400},\frac{158}{400},\frac{159}{400}$

Step-by-step explanation:

Given : Number between $\frac{3}{8}$ and $\frac{2}{5}$

To find : The rational number between numbers?

Solution :

Rational number is defined as the number which can be written in p/q form where p and q are integers and q is nonzero or written in fraction form.

First we make their denominator same so that we easily find number between them,

$a=\frac{3}{8}$

$a=\frac{3\times 50}{8\times 50}$

$a=\frac{150}{400}$

$b=\frac{2}{5}$

$b=\frac{2\times 80}{5\times80}$

$b=\frac{160}{400}$

Now, The number between 150 and 160 are 151,152,153,154,156,157,158,159.

Therefore, The rational number between $\frac{3}{8}$ and $\frac{2}{5}$ are

$\frac{151}{400},\frac{152}{400},\frac{153}{400},\frac{154}{400},\frac{155}{400},\frac{156}{400},\frac{157}{400},\frac{158}{400},\frac{159}{400}$