Answer:
Her answer is not correct because the sum cannot be less than either addend.
Step-by-step explanation:
The given numbers are
[tex]\frac{17}{18}[/tex] and [tex]\frac{1}{20}[/tex]
Alaina evaluated [tex]\frac{17}{18}+\frac{1}{20}[/tex] and got an answer of [tex]\frac{18}{38}[/tex]. We need to check whether she is correct or not.
[tex]\frac{17}{18}=9.44....[/tex]
[tex]\frac{1}{20}=0.05[/tex]
[tex]\frac{18}{38}\approx 0.474[/tex]
The sum of both numbers is
[tex]\frac{17}{18}+\frac{1}{20}=\frac{170+9}{180}=\frac{179}{180}[/tex]
The correct answer is [tex]\frac{179}{180}[/tex].
If two positive numbers are added then the sum is always greater than each number.
[tex]0.474<9.44....[/tex]
[tex]\frac{18}{38}<\frac{17}{18}[/tex]
Therefore, her answer is not correct because the sum cannot be less than either addend.
