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 $\dfrac{1}{4}.$

Step-by-step explanation:  Given that Karen colors are n squares on a grid, out of which she colored $\dfrac{1}{8}$ of the squares blue and $\dfrac{5}{8}$ 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

$S_b=\dfrac{1}{8}\times n=\dfrac{n}{8},$

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

$S_r=\dfrac{5}{8}\times n=\dfrac{5n}{8}.$

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

$SC=S_b+S_r=\dfrac{n}{8}+\dfrac{5n}{8}=\dfrac{6n}{8}=\dfrac{3n}{4}.$

Therefore, the number of squares that are not colored is

$SC_n=n-\dfrac{3n}{4}=\dfrac{n}{4}=\dfrac{1}{4}\times n.$

Thus, the fraction of the squares that are not colored is $\dfrac{1}{4}.$