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Question
Write the multiplicative inverse.
`-7 1/3`
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Solution
It is known that the multiplicative inverse of any rational number a is the reciprocal of the rational number i.e., `1/a`
The given number is `-7 1/3`
Now, `-7 1/3`
`= - (7 + 1/3)`
`= - ((21 + 1)/3)`
`= - 22/3`
Multiplicative inverse of `- 22/3`
= `1/(-22/3)`
= `- 3/22`
RELATED QUESTIONS
For each set of rational number, given below, verify the associative property of addition of rational number:
(i) `1/2 , 2/3 "and"-1/6`
Fill in the Blank
If `a/b` is additive inverse of `(-c)/d`, then `(-c)/d` is additive inverse of ------.
Evaluate:
`(8/5 xx (-3)/2) + ((-3)/10 xx 9/16)`
Carry out the following subtraction involving a rational number.
`1 2/3 - 3 5/6`
Carry out the following subtraction involving a rational number.
`4 1/2 - 3 1/3`
Multiply the following rational number.
`12/5 xx 4/15`
Carry out the division of rational number.
`(-5)/13 div 7/26`
Carry out the division of rational number:
`9/11 div (-8)`
Add: `2 1/7 + 3 8/14`.
Complete the following table by finding the sums:
| + | `-1/9` | `4/11` | `(-5)/6` |
| `2/3` | |||
| `-5/4` | `(-39)/44` | ||
| `-1/3` |
