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Question
`(-3)/7 ÷ ((-7)/3)` = ______.
Solution
`(-3)/7 ÷ ((-7)/3) = bb(underline(9/49)`.
Explanation:
∵ Reciprocal of `(-7)/3` is `3/(-7)`
∴ `(-3)/7 xx (3/(-7))`
Product of rational numbers = `"Product of numerators"/"Product of denominators"`
= `((-3) xx 3)/(7 xx (-7))`
= `(-9)/(-49)`
= `9/49`
Hence, `(-3)/7 ÷ ((-7)/3) = 9/49`.
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