June made a design with 6 equal tiles.One tile is yellow 2 tiles are blue and 3 tiles are purple. what fraction of the tiles are yellow or purple?

The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.

For this problem we have:
total number of tiles = 6
number of yellow tiles = 1
number of blue tiles = 2
number of purple tiles = 3

Based on the above:
fraction of yellow tiles = 1/6
fraction of blue tiles = 2/6 = 1/3
fraction of purple tiles = 3/6 = 1/2

Answer Link

calculista calculista · Answer 2 · 2018-09-05T12:11:21+02:00

we know that

The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.

Let

N----------> total number of tiles

Y---------> number of yellow tiles

B--------> number of blue tiles

P--------> number of purple tiles

we have

[tex] N=6\\ Y=1\\ B=2\\ P=3[/tex]

1) Find the fraction of yellow tiles

we know that

the fraction of yellow tiles is equal to

[tex] Y/N [/tex]

substitute the values

[tex] 1/6 [/tex]

2) Find the fraction of purple tiles

we know that

the fraction of purple tiles is equal to

[tex] P/N [/tex]

substitute the values

[tex] 3/6 [/tex]

3) Find the fraction of yellow tiles or purple tiles

we know that

the fraction of yellow tiles or purple tiles is equal to

[tex] (Y/N)+(P/N)=(1/6)+(3/6)=4/6=2/3 [/tex]

therefore

the answer is

[tex] 2/3 [/tex]