Sign In
When multiplying conversion factors, make sure the only remaining units are the desired units.
24mi/h=35.2ft/s
Let's start by writing the given statement. 24 mi/h= ft/s In this exercise, we need to change miles per hour into feet per second. Let's start by organizing the relationships between the units in a table.
| Starting Unit | Converted Unit | Unit Ratio |
|---|---|---|
| 1 mile | 5280 feet | 5280ft/1mi |
| 1 hour | 60minute | 60min/1h |
| 1minute | 60 seconds | 60s/1min |
To perform this conversion, we need to multiply 24 miles per hour by each unit ratio or its reciprocal. Remember, we want to arrange these ratios such that each 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
Calculate quotient
We can now complete the given statement. 24 mi/h=35.2 ft/s
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.