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To compare two quantities, their units must be the same.
The bottle containing 2 liters of water
We want to determine which bottle is greater, a bottle containing 64 fluid ounces of water or a bottle containing 2 liters of water. Let's start by expressing 64 fluid ounces in liters. 64 fl oz≈ L We can do this by using the fact that 1 fluid ounce equals about 0.0296 liter. Let's write this relationship as a unit ratio. 0.0296 L/1fl oz To perform the conversion, we need to multiply 64 fluid ounces by the unit ratio or its reciprocal. Remember, we want to get the capacity in liters, and every unit we do not want has to be divided out.
a=a/1
Multiply fractions
Cancel out common factors
Simplify quotient
Multiply
a/1=a
We got that 64 fluid ounces is equal to about 1.8944 liters. Finally, we can compare the capacities. rcl 1.8944L & < & 2L [0.5em] & ↓ & [0.5em] 64fl oz & < & 2L The bottle containing 2 liters of water is greater than the bottle containing 64 fluid ounces of water.
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.