Question

Lisa has a button collection and decided to measure her 12 favorite buttons to the nearest 1/8 inch. Her results are shown in the line plot below.

(look at photo attached)

If she took one of her smallest buttons, one of her largest buttons, and one of her most common-sized buttons and laid them side-by-side, what would be their combined length?

Answer 1

2
`(3)/(4)`

Explanation:

the smallest button is
`(1)/(2)`

the most common button is
`(3)/(4)`

the largest button is 1
`(1)/(2)`

add these buttons together

`(1)/(2) + (3)/(4) + 1 (1)/(2) =`

find the LCD of the denominators

factors of 2: 2, 4, 6, 8, 10

factors of 4: 4, 8, 12, 16, 20

find the factor that is the same in the two rows

factors of 2: 2, 4, 6, 8, 10

factors of 4: 4, 8, 12, 16, 20

2*2 = 4

`(1)/(2)`· 2 =
`(2)/(4)`

`(2)/(4) + (3)/(4) + 1 (2)/(4) =`

1
`(7)/(4)`

`(7)/(4) = 1 (3)/(4)` + 1

2
`(3)/(4)`

Answer 2

2 3/4

Explanation:

the Smallest is 1/2

the biggest is 1 1/2

the most common is 3/4

Adding them all up will give you 2 3/4 or 11/4