Her answer is not correct because the sum cannot be less than either addend.
Step-by-step explanation:
The given numbers are
and ![\frac{1}{20}](/tpl/images/0383/8738/833ba.png)
Alaina evaluated
and got an answer of
. We need to check whether she is correct or not.
![\frac{17}{18}=9.44....](/tpl/images/0383/8738/8ac7d.png)
![\frac{1}{20}=0.05](/tpl/images/0383/8738/ad35a.png)
![\frac{18}{38}\approx 0.474](/tpl/images/0383/8738/0f35a.png)
The sum of both numbers is
![\frac{17}{18}+\frac{1}{20}=\frac{170+9}{180}=\frac{179}{180}](/tpl/images/0383/8738/67baa.png)
The correct answer is
.
If two positive numbers are added then the sum is always greater than each number.
![0.474](/tpl/images/0383/8738/92e0b.png)
![\frac{18}{38}](/tpl/images/0383/8738/d3dea.png)
Therefore, her answer is not correct because the sum cannot be less than either addend.