As it is clear that adding 1/4 + 2/3 will bring 11/12. Therefore, Brandon is correct when he claims that he walks a total of 11/12 mile if he goes from his house to the library to the grocery store.

Step-by-step explanation:

As Brandon is

1/4 mile from his house to the library

2/3 mile from the library to the grocery store

Brandon claims that he walked a total of 11/12 mile if he goes from his house to the library to the grocery store

So, adding 1/4 + 2/3 would determine whether he is right or wrong.

Thus, considering the expression

$\frac{1}{4}+\frac{2}{3}$

$\mathrm{Least\:Common\:Multiplier\:of\:}4,\:3:\quad 12$

$Adjust\:Fractions\:based\:on\:the\:LCM$

$\frac{1}{4}+\frac{2}{3}=\frac{3}{12}+\frac{8}{12}$

$=\frac{3+8}{12}$

$=\frac{11}{12}$

As it is clear that adding 1/4 + 2/3 will bring 11/12. Therefore, Brandon is correct when he claims that he walks a total of 11/12 mile if he goes from his house to the library to the grocery store.

Keywords: word problem, LCM, fraction

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