Question

1. Find eight rational numbers between
$\frac{2}{7} \: and \: \frac{3}{5}$
​

Answer 1

Answer:

$\frac{10}{35},[\frac{11}{35},\frac{12}{35},\frac{13}{35},\frac{14}{35},\frac{15}{35},\frac{16}{35},\frac{17}{35},\frac{18}{35},\frac{19}{35},\frac{20}{35}],\frac{21}{35}$

Step-by-step explanation:

$\frac{2}{7} and \frac{3}{5}$

By taking LCM of 7 and 5, we get the denominator as 35.

So, $\frac{2}{7} = \frac{10}{35}$

and $\frac{3}{5} = \frac{21}{35}$

Now, the new rational numbers are $\frac{10}{35} and \frac{21}{35}$.

The rational numbers between them are :

$\frac{10}{35},[\frac{11}{35},\frac{12}{35},\frac{13}{35},\frac{14}{35},\frac{15}{35},\frac{16}{35},\frac{17}{35},\frac{18}{35},\frac{19}{35},\frac{20}{35}],\frac{21}{35}$

Now, you can choose any 8 of the 10 rational numbers between $\frac{2}{7} and \frac{3}{5}$.

Hope this helped!

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