MARCUS IS 5 7/24 feet tall.ben is 5 5/16 feet tall.which of the two boys is taller? justify your answer?



Answer :

edmc96
MARCUS IS NOT TALLER

find a common denominator of the two fractions
[tex] \frac{5}{16} >> \frac{15}{48}[/tex]
[tex] \frac{7}{24} >> \frac{14}{48} [/tex]

MARCUS IS SHORTER BY [tex] \frac{1}{48} [/tex]

For this case we have the following mixed numbers.

For Marcus:

[tex] 5\frac{7}{24} [/tex]

For Ben:

[tex] 5\frac{5}{16} [/tex]

What we must do is rewrite the mixed numbers as rational numbers.

We have then:

For Marcus:

[tex] 5\frac{7}{24} = \frac{127}{24} [/tex]

For Ben:

[tex] 5\frac{5}{16} = \frac{85}{16} [/tex]

From here, we observe that Ben is taller than Marcus because:

[tex] \frac{85}{16} > \frac{127}{24} [/tex]

Answer:

Ben is taller than marcus

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