Question

Jack's backyard has a grassy lawn, a deck, and a pool. the pool takes up 1/5 for the yard, the deck takes up 1/4 of the yard the rest of the yard is left for grass. what fraction of the backyard does the grassy lawn take up?
(sorry my sister asked me for help and i have no clue what it's talking about)

Answer 1

Answer:

11/20

Step-by-step explanation:

The backyard is 1 entire area.

The pool is 1/5 of the area.

The deck is 1/4 of the area.

The grass is the remaining area.

The area of the grass is the entire area of the backyard minus the areas of the pool and the deck.

First, we add the areas of the pool and the deck.

1/4 + 1/5 = 5/20 + 4/20 = 9/20

The combined area of the pool and deck is 9/20 of the area of the backyard.

Now we subtract the combined area of the pool and deck from the entire area of the backyard.

1 - 9/20 = 20/20 - 9/20 = 11/20

The grassy area is 11/20 of the backyard.

Answer: 11/20