Eric is 6 1/6 feet tall and his brother is 5 3/4 feet tall. Eric is how many feet taller than his brother?

A. 1/5 feet

B. 5/12 feet

C. 7/12 feet

D. 3/4 feet

Respuesta :

6 1/6
5 3/4
=
6x6+1= 37
5x4+3=23
having a total when subtracted of 14 divide that by the both of them so 7. I'm gonna say c.

Answer:

B. 5/12 feet

Step-by-step explanation:

We know that Eric is [tex]6\frac{1}{6}[/tex] feet tall while his brother is [tex]5\frac{3}{4}[/tex] feet tall. We are supposed to find out how many feet is Eric taller than his brother.

So basically we have to find the difference between the height of the two brothers.

First, let's just change the mixed numbers to improper fractions:

[tex]6\frac{1}{6}[/tex] = [tex]\frac{37}{6}[/tex]

[tex]5\frac{3}{4}[/tex]=  [tex]\frac{23}{4}[/tex]

Now taking their difference:

[tex]=\frac{37}{6} -\frac{23}{4}\\\\=\frac{148-138}{24}\\\\=\frac{10}{24}\\\\=\frac{5}{12}[/tex]

Therefore, Eric is 5/12 feet taller than his brother.