MATH SOLVE

4 months ago

Q:
# Alaina evaluated 1718+1201718+120 and got an answer of 18381838. Which statement is true about her answer?

Accepted Solution

A:

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.