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Question
Write the next three rational numbers to complete the pattern:
`(-8)/7, (-16)/14, (-24)/21, (-32)/28`, ______, ______, ______.
Solution
`(-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`.
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