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 :

To figure out who is taller, we can take each mixed number and find a common denominator.

5/16 (x3) 15/48
7/24 (x2) 14/48

This tells us that Ben is taller because Marcus is shorter than him by 1/48.

Answer:

Ben is taller than Marcus

Step-by-step explanation:

Height of Marcus = \(5\frac{7}{24}feet\)

To write this mixed fraction in decimal the we need to split it and add the two terms-

\(5\frac{7}{24} = 5 + \frac{7}{24} = 5 + 0.291 = 5.291\)

∴Height of Marcus = \(5.291feet\)

Height of Ben = \(5\frac{5}{16}feet\)

Similarly we can write this also in decimal as-

\(5\frac{5}{16} = 5 + \frac{5}{16} = 5 + 0.313= 5.313\)

∴Height of Ben= \(5.313feet\)

∴ Ben is taller than Marcus