Question

Jane painted 1/4 of her bedroom wall blue. She painted 1/6 of the same wall purple. Jane painted the rest of the wall yellow. What fraction of the wall did Jane paint yellow?

(a) 5/12
(b) 1/4
(c) 7/12
(d) 11/12

Answer 1

Jane painted 7/12 of her bedroom wall yellow, after previously painting 1/4 blue and 1/6 purple.

Step-by-step explanation:

Jane painted 1/4 of her bedroom wall blue and 1/6 of the same wall purple. To find out what fraction of the wall is painted yellow, we must first calculate the total fraction of the wall that has been painted with blue and purple. We add these two fractions together to get:

¼ (blue) + ⅓ (purple) = ⅔ + ⅓ = 3/12 + 2/12 = 5/12

Since the total wall space can be considered as 1 (or 12/12), we subtract the fraction painted in blue and purple from the whole:

1 (whole wall) - 5/12 (blue and purple) = 12/12 - 5/12 = 7/12

Therefore, Jane must have painted 7/12 of the wall yellow. This corresponds to choice (c) in the multiple-choice options given.