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Question
Write the next three rational numbers to complete the pattern:
`4/(-5), 8/(-10), 12/(-15), 16/(-20)`, ______, ______, ______.
Solution
`4/(-5), 8/(-10), 12/(-15), 16/(-20), underlinebb(20/(-25)), underlinebb(24/(-30)), underlinebb(28/(-35))`.
Explanation:
Given rational number is `4/(-5)`
So, the next three equivalent rational numbers are
`(4 xx 5)/(-5 xx 5) = 20/(-25), (4 xx 6)/(-5 xx 6) = 24/(-30)` and `(4 xx 7)/(-5 xx 7) = 28/(-35)`
Hence, the next equivalent numbers are `20/(-25), 24/(-30), 28/(-35)`.
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