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```Fractional Unit Rates
Many real world questions do not use whole numbers. Fractions and decimals can
be used in a ratio. This is known as a complex fraction where either the numerator,
denominator, or both are fractions. The process to find the unit rate is still the same,
divide the ratio to get a denominator of one. Dividing fractions in a ratio is the same as
dividing fractions.
1.) Make sure they are either a fraction or an improper fraction not a mixed number.
2.) Keep the first number the same.
3.) Change division to multiplication.
4.) Take the reciprocal (flip) the second number.
5.) Also known as âinvert and multiplyâ âkeep, change, flipâ
Example: You can read 3Â½ pages in 10 minutes. How many pages can you read in an
hour.
*Note there are many ways to answer this!
Method 1:
Two things to remember:
1
3
2
1
6
10
1.) 10 minutes is 60 , ðð
hour.
1
2.) 3 2 =
7
1
Ã·
2
6
7
Ã
2
6
1
=
42
2
1
6
of an
7
2
or 21 pages per hour
Method 2: (this only works on certain denominators)
There are 6 (10 minutes) in an hour.
1
32
1
6
Ã
6
6
=
21
1
or 21 pages per hour
*With Method 2, there are only certain times this will work. It is easier and quicker if you
can recognize a number you can multiply to get the denominator to 1.
There are 4 (15 minutes, Â¼ of an hour) in 1 hour. So, multiply by four.
There are 2 (6 inches, Â½ of a foot) in 1 foot. So, multiply by two.
There are 10 (10Â¢ (dime), 1â10 of a dollar) in 1 dollar. So, multiply by ten.
If you see this relationship, you can multiply instead of dividing.
```
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