Question

Insert 5 rational number between 1/5 and 2/5

Answer 1

Answer:

the. five rational numbers between 1/5and 2/5 are

Step-by-step explanation:

7/30,8/30,9/30,10/30,11/30

Answer 2

Given: Two rational numbers    $\frac{1}{5}$ and $\frac{2}{5}$

To find: 5 rational numbers between the given numbers

Solution: The given rational numbers have same denominators. To insert 5 rational numbers between these, we need to expand them by finding their equivalent fractions. As we need 5 rational numbers, we have to multiply both the numerator and denominator of each fraction with 5 + 1 i.e. 6.

⇒ $\frac{1}{5} = \frac{1}{5}$ × $\frac{6}{6} = \frac{6}{30}$ and $\frac{2}{5} = \frac{2}{5}$ × $\frac{6}{6} = \frac{12}{30}$

We see that 7, 8, 9, 10 and 11 are 5 integers between 6 and 12.

i.e. 6 < 7 < 8 < 9 < 10 < 11 < 12

Hence, five rational numbers between $\frac{1}{5}$ and $\frac{2}{5}$ are:

$\frac{7}{30}, \frac{8}{30}, \frac{9}{30}, \frac{10}{30} \ and \ \frac{11}{30}$.