Question

Find six rational numbers between 3/5 and 4/5

Answer 1

Answer:

3/5 = 6/10 = 9/15 = 12/20 = 15/25 = 18/30 = 21 / 35.

4/5 = 8/10 = 12/15 = 16/20 = 20/25 = 24/30 = 28 / 35.

Therefore, the rational numbers between 21/35 and 28/35 are -

22/35 , 23/35 , 24/35 , 25/35 , 26/35 and 27/35 ...

Apr 23, 2016

Answer 2

Given: Two rational numbers -   $\frac{3}{5}$ and $\frac{4}{5}$

To find: Six rational numbers between the given numbers

Solution: The given numbers have same denominator.

To insert six rational numbers between these numbers, we need to multiply the numerator and denominator of both rational numbers by 6 + 1 i.e., 7.

⇒ $\frac{3}{5}$ × $\frac{7}{7} = \frac{21}{35}$ and $\frac{4}{5}$ × $\frac{7}{7} = \frac{28}{35}$

∵ $21 < 22 < 23 < 24 < 25 < 26 < 27 < 28$

∵ $\frac{22}{35} < \frac{23}{35} < \frac{24}{35} < \frac{25}{35} < \frac{26}{35} < \frac{27}{35}$

Hence, six rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ are:

$\frac{22}{35}, \frac{23}{35}, \frac{24}{35}, \frac{25}{35}, \frac{26}{35} \ and \ \frac{27}{35}$