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To compare two quantities, their units must be the same.
4 mi
We want to determine which quantity is greater, 4 miles or 6.2 kilometers. Let's start by expressing 4 miles in kilometers. 4 mi= km To do so, we will use the fact that 1 mile equals about 1.61 kilometers. Let's write this relationship as a unit ratio. 1.61 km/1mi To perform the conversion, we need to multiply 4 miles by the 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.
a=a/1
Multiply fractions
Cancel out common factors
Simplify quotient
Multiply
a* b/c=a/c* b
a/1=a
We got that 4 miles is equal to about 6.44 kilometers. Finally, we can compare the quantities. 6.44km & > 6.2km & ↓ 4mi & > 6.2km Therefore, 4 miles is more than 6.2 kilometers.
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.