Marcus is 5 7/24 feet tall Ben is 5 5/16 feet tall which of the two boys is taller? Justify your 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