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

Verified Answer :

edmc96

MARCUS IS NOT TALLER

find a common denominator of the two fractions
\(\frac{5}{16} >> \frac{15}{48}\)
\(\frac{7}{24} >> \frac{14}{48}\)

MARCUS IS SHORTER BY \(\frac{1}{48}\)

For this case we have the following mixed numbers.

For Marcus:

\(5\frac{7}{24}\)

For Ben:

\(5\frac{5}{16}\)

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

We have then:

For Marcus:

\(5\frac{7}{24} = \frac{127}{24}\)

For Ben:

\(5\frac{5}{16} = \frac{85}{16}\)

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

\(\frac{85}{16} > \frac{127}{24}\)

Answer:

Ben is taller than marcus