Question

Karen colors are n squares on a grid . She colored 1/8 of the squares blue and 5/8 of the squares red . What fraction of the squares care not colored in?

Answer 1

2/8 or 1/4 if you reduce it.

Answer 2

Answer: The fraction of the squares that are not colored is
`(1)/(4).`

Step-by-step explanation: Given that Karen colors are n squares on a grid, out of which she colored
`(1)/(8)` of the squares blue and
`(5)/(8)` of the squares red.

We are to find the fraction of the squares that are not colored.

Total number of squares = n.

Number of squares that are colored blue is given by

`S_b=(1)/(8)* n=(n)/(8),`

and the number of the squares that are colored red is given by

`S_r=(5)/(8)* n=(5n)/(8).`

So, the total number of squares that are colored will be

`SC=S_b+S_r=(n)/(8)+(5n)/(8)=(6n)/(8)=(3n)/(4).`

Therefore, the number of squares that are not colored is

`SC_n=n-(3n)/(4)=(n)/(4)=(1)/(4)* n.`

Thus, the fraction of the squares that are not colored is
`(1)/(4).`