Question

Write the next three rational numbers to complete the pattern:

`(-8)/7, (-16)/14, (-24)/21, (-32)/28`, ______, ______, ______.

Answer 1

`(-8)/7, (-16)/14, (-24)/21, (-32)/28, underlinebb((-40)/35), underlinebb((-48)/42), underlinebb((-56)/49)`.

Explanation:

Given rational number is `(-8)/7`

So, the next three equivalent rational numbers are

`(-8 xx 5)/(7 xx 5) = (-40)/35, (-8 xx 6)/(7 xx 6) = (-48)/42` and `(-8 xx 7)/(7 xx 7) = (-56)/49`

Hence, three next equivalent numbers are `(-40)/35, (-48)/42, (-56)/49`.