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When multiplying conversion factors, make sure the only remaining units are the desired units.
0.65625gal/week
We want to express 1.5 cups per day in gallons per week. 1.5 c/day= gal/week This means that we need to change cups per day into gallons per week. Let's start by organizing the relationships between the units in a table.
| Starting Unit | Converted Unit | Unit Ratio |
|---|---|---|
| 16 cups | 1 gallon | 16c/1gal |
| 7 days | 1 week | 7days/1week |
To perform this conversion, we need to multiply the given value in cups per day by each unit ratio or its reciprocal. Remember, we want to arrange these ratios such that every unit we do not want gets canceled out, and only the units that we want will remain.
Multiply fractions
Cancel out common factors
Simplify quotient
Multiply
a/1=a
We found that the pipe is leaking at 0.65625 gallons per week.
Around the world, people use conversion factors on a regular basis. You can read more about some practical applications of conversion factors in our original content.