Question

A rational number between 1/5 and 1/3 is​

Answer 1

A rational number between 1/5 and 1/3 =

1/2 (1/5+1/3)

= 1/2 {(3+5) /15)}

= 1/2 (8/15)

=4/15 Ans.

to check

1/5 = 0.2

1/3=0.33...

4/15= 0.2666...

0.2 < 0.26666.. <0.333...

hence 4/15 lies between 1/5 and 1/3.

Answer 2

To find : rational numbers between $\frac{1}{5}$ and  $\frac{1}{3}$

Solution:

• According question we have to find rational numbers between $\frac{1}{5}$ and  $\frac{1}{3}$ for this we need to equalize denominators of the rational numbers by taking LCM.
• Therefore, LCM = 15
• Now, multiplying numerators by same numbers as multiplied by denominator to make LCM .
• We get, $\frac{1}{5}=\frac{1\times3}{15}=\frac{3}{15}$ and $\frac{1}{3}=\frac{1 \times 5}{15}=\frac{5}{15}$

• Now, we can find rational number between $\frac{3}{15}$ and $\frac{5}{15}$

• It is : $\frac{4}{15}$

Hence,  rational number between $\frac{1}{5}$ and  $\frac{1}{3}$ is $\frac{4}{15}$ .