Question

Liam has 5 2/4 gallons of paint. He wants to use 2/5 of the paint to paint his living room. How many gallons of paint will Liam use for the living room?

a) 1 2/4 gallons
b) 2 gallons
c) 2 2/5 gallons
d) 2 1/4 gallons

Answer 1

Liam will use 1 2/4 gallons of paint for his living room, by converting his total paint to an improper fraction and then multiplying by 2/5.

Step-by-step explanation:

The question involves determining the amount of paint Liam will use if he wants to use 2/5 of his total 5 2/4 gallons. The first step is to convert the mixed number to an improper fraction, which results in 22/4 gallons or 5.5 gallons in decimal form. To find 2/5 of the total paint, we multiply the total amount by 2/5:

5.5 (total gallons) × 2/5 (fraction to use) = 11/10 (in gallons)

When simplified, 11/10 equals 1 1/10 gallons, which when expressed in quarters is 1 2/4 gallons. Therefore, Liam will use 1 2/4 gallons of paint to paint his living room.