Question

Find two rational numbers between 16/25 and 4/5​

Answer 1

Answer:

17/25 and 18/25 are two rational numbers between 16/25 and 4/5.

Answer 2

Given: Two rational numbers $\frac{16}{25}$ and $\frac{4}{5}$

To find: Two rational numbers between the given numbers

Solution: The given rational numbers have different denominators, first we need to make their denominators same.

LCM of their denominators 25 and 5 = 25

To convert the rational numbers with same denominators, we have

$\frac{16}{25} = \frac{16}{25}$ × $\frac{1}{1} = \frac{16}{25}$ and $\frac{4}{5} = \frac{4}{5}$ × $\frac{5}{5} = \frac{20}{25}$

We see 17, 18 and 19 are three integers between 16 and 20

i.e., $\frac{16}{25} < \frac{17}{25} < \frac{18}{25} < \frac{19}{25} < \frac{20}{25}$

Hence, two rational numbers between $\frac{16}{25}$ and $\frac{4}{5}$ are:

$\frac{18}{25} \ and \ \frac{19}{25}$