Question

The ascending arrangement of `2/3, 6/7, 13/21` is ______.

Options

• `6/7, 2/3, 13/21`

• `13/21, 2/3, 6/7`

• `6/7, 13/21, 2/7`

• `2/3, 6/7, 13/21`

Answer 1

The ascending arrangement of `2/3, 6/7, 13/21` is `underline(13/21, 2/3, 6/7)`.

Explanation:

LCM of 21, 3, 7 = 21

Now, let us change each of the given fractions into an equivalent fraction having 21 as the denominator.

`[13/21 xx 1/1] = 13/21`

`[2/3 xx 7/7] = 14/21`

`[6/7 xx 3/3] = 18/21`

Clearly,

`13/21 < 14/21 < 18/21`

Hence,

`13/21 < 2/3 < 6/7`

Hence, the given fractions in ascending order are `13/21, 2/3, 6/7`