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Question
The multiplicative inverse of `-1 1/7` is ______.
Options
`8/7`
`(-8)/7`
`7/8`
`7/(-8)`
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Solution
The multiplicative inverse of `-1 1/7` is `underlinebb(7/(-8))`.
Explanation:
We know that, if the product of two rational numbers is 1, then they are multiplicative inverse of each other.
Given number is `-1 1/7`, i.e. `(-8)/7`.
Let the multiplication inverse of `(- 8)/7` be x.
⇒ `(-8)/7 xx x = 1`
⇒ `x = 1 xx ((-7)/8)` ...[By cross-multiplication]
= `(-7)/8` or `7/(-8)`
Hence, `(-7)/8` is the multiplicative inverse of `(-8)/7`.
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