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