Advertisements
Advertisements
Question
Add, the pair of rational numbers, given below, and show that their addition (sum) is also a rational number
`(-5)/8` and `3/8`
Advertisements
Solution 1
`(-5)/8 " and " 3/8`
= `(-5)/8 + 3/8`
(Denominators are same, LCM = 8)
= `(-5 + 3)/8`
= `(-2)/8 = (-1)/4`
Which is rational number
Solution 2
Given Rational Numbers:
`(-5)/8 " and " 3/8`
Step 1: Add the two fractions
Since the denominators are the same (8), we can directly add the numerators:
`(-5)/8 + 3/8 = (-5+3)/8 = -2/8`
Step 2: Simplify the fraction
`(-2)/8 = (-1)/4`
Step 3: Verify that the sum is a rational number
- A rational number is any number that can be expressed in the form `p/q`, where p and q are integers and q ≠ 0.
- The result `(-1)/4` satisfies this definition −1 and 4 are integers, and 4 ≠ 0.
The sum of `(-5)/8` and `3/8` is `(-1)/4`, which is also a rational number.
APPEARS IN
RELATED QUESTIONS
Evaluate:
`3/8 + (-5)/12 + 3/7 + 3/12 + (-5)/8 + (-2)/7`
Write the Additive Inverse(Negative) of : `4/(-9)`
Write the Additive Inverse(Negative) of : `(-3)/1`
Multiply the following rational number.
`3/11 xx 2/5`
Multiply the following rational number.
`0/6 xx 3/4`
Write the multiplicative inverse.
`(-17)/39`
Carry out the division of a rational number.
`2 1/5 div 5 3/6`
Satpal walks `2/3 "km from a place P, towards the east and then from there" 1 5/7` km towards west. Where will he be now from P?
Find the sum of `7/3` and `(-4)/3`.
Complete the following table by finding the sums:
| + | `-1/9` | `4/11` | `(-5)/6` |
| `2/3` | |||
| `-5/4` | `(-39)/44` | ||
| `-1/3` |
