Brandon is running errands for his mother.
It is

1/4
mile from his house to the library and
2/3
mile from the library to the grocery store.
Brandon claims that he walks a total of
11/12
mile if he goes from his house to the library to the grocery store.
Which of the following shows whether Brandon is correct and why?

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Answer:

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

[tex]\frac{1}{4}+\frac{2}{3}[/tex]

[tex]\mathrm{Least\:Common\:Multiplier\:of\:}4,\:3:\quad 12[/tex]

[tex]Adjust\:Fractions\:based\:on\:the\:LCM[/tex]

[tex]\frac{1}{4}+\frac{2}{3}=\frac{3}{12}+\frac{8}{12}[/tex]

         [tex]=\frac{3+8}{12}[/tex]

         [tex]=\frac{11}{12}[/tex]

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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Answer:

A brandon is correct

Step-by-step explanation: