Question

3/2 gallon of water fills 4/5 of a pitcher.How many gallons can fill a full pitcher. Write a division equation to match this problem then explain what it's value represents in the context.

Answer 1

(15/8) gallons of water will fill one full pitcher.

Step-by-step explanation

Let the amount of gallons that will fill a full pitcher be x gallons

(3/2) gallons = (4/5) of the pitcher

x gallons = 1 pitcher

Converting the fractions into decimals for easier solving

(3/2) = 1.5

(4/5) = 0.8

1.5 gallons = 0.8 of the pitcher

x gallons = 1 pitcher

We can form a mathematical relationship by cross multiplying

(0.8) (x) = (1) (1.5)

0.8x = 1.5

Divide both sides by 0.8

0.8x ÷ 0.8 = 1.5 ÷ 0.8

x = 1.875 gallons = (15/8) gallons

Hope this Helps!!!