Advertisements
Advertisements
Question
Add, the pair of rational numbers, given below, and show that their addition (sum) is also a rational number
`7/(-18) "and" 8/27`
Advertisements
Solution
`7/(-18) + 8/27`
=`(-7xx3)/(18xx3) + (8xx2)/(27xx2)`
| 2 | 18, 27 |
| 3 | 9, 27 |
| 3 | 3, 9 |
| 3 | 1, 3 |
| 1, 1 |
LCM of 18 and 27 = 2 x 3 x 3 x 3 = 54
= `(-21 + 16)/54 = -5/54`
Which is a rational number.
APPEARS IN
RELATED QUESTIONS
Add, the pair of rational numbers, given below, and show that their addition (sum) is also a rational number
`6/11 "and" (-9)/11`
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`
Carry out the following subtraction involving a rational number.
`7/11 - 3/7`
Carry out the following subtraction involving a rational number.
`13/36 - 2/40`
Multiply the following rational number.
`3/11 xx 2/5`
Write the multiplicative inverse.
`(-17)/39`
Write the multiplicative inverse.
`-7 1/3`
Add: `5/7 + 9/11`.
Complete the following table by finding the sums:
| + | `-1/9` | `4/11` | `(-5)/6` |
| `2/3` | |||
| `-5/4` | `(-39)/44` | ||
| `-1/3` |
What should be added to `(-1)/2` to obtain the nearest natural number?
