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When multiplying conversion factors, make sure the only remaining units are the desired units.
3.9
Let's start by writing the given statement.
600cm/min&≈ in./sec
In this exercise, we need to change centimeters per minute into inches per seconds. Since this will involve multiple conversion factors, let's organize them in a table.
| Starting Unit | Converted Unit |
|---|---|
| 1 centimeter | 0.39 inch |
| 1 minute | 60 sec |
To perform this conversion, we need to multiply the given value by all of these conversion factors. Remember, we need 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 units
Simplify quotient
Multiply
Write as a product of fractions
Calculate quotient
We found that 600cm/min is approximately 3.9in./sec. We can now complete the given statement. 600cm/min&≈ 3.9in./sec
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.