Directions:  Analyze each of the following statements to determine whether a ratio concept or fraction concept is present.  Write down the reasoning behind your answers in the space provided.

1. There are nine women for every two men in this class.

                            Circle One:     Ratio        Fraction         Both
Reasoning:

This is definitely a ratio of women to men equal to 9:2.  However it is NOT a fractional relationship since it is part to part NOT part to WHOLE.
 

2. Two out of every five students in this class plan to be middle school teachers.

                            Circle One:     Ratio        Fraction         Both
Reasoning:

This is definitely a ratio of future middle school teachers to total students in the class of 2:5.  In addition, since the ratio is part to whole, it can also be thought of as a fractional relationship. 2/5 of the students in the class plan to be middle school teachers.
 

3. Brand A orange juice costs 7 cents per ounce while Brand B orange juice only costs 6.5 cents per ounce.

                            Circle One:     Ratio        Fraction         Both
Reasoning:

There definitely are ratio relationships in this sentence:  7 cents : 1 ounce for Brand A;   6.5 cents : 1 ounce for Brand B;  and Brand A : Brand B = 7 cents per ounce : 6.5 cents per ounce.  However there are no fractional relationships present since the ratios are not of the form part : whole.
 

4. One fourth of the marbles in the jar are blue.

                            Circle One:     Ratio        Fraction         Both
Reasoning:

The ratio of blue marbles to total marbles is 1:4.  In addition 1/4 of the marbles in the jar are blue.
 

5. My average speed while driving to work this morning was 35 mph.

                            Circle One:     Ratio        Fraction         Both
Reasoning:
 
The ratio of miles to hours is 35 miles : 1 hour.  There is no fractional relationship present since the ratio is not of the form part : whole.
 

6. Jane’s chocolate cake recipe calls for ¾ cup of milk.

                            Circle One:     Ratio   OR     Fraction        Both
Reasoning:

This depends upon how you look at it.  If you are thinking of milk : cake, then the ratio is 3/4 cup milk to 1 cake.  This 3/4 to 1 would not be a fraction though.  If you focus purely on the 3/4 cup of milk, then there is only a fraction present.  You can not think of it as a ratio of 3:4.  Therefore, you can see either a ratio present or a fraction present, but not a ratio that is also itself a fraction.
 

7. According to the Kool-Aid directions, for each quart of water you should add one scoop of Kool-Aid and 2 scoops of sugar.

                            Circle One:     Ratio        Fraction         Both
Reasoning:
 
There is a ratio of  water : Kool-aid : sugar   of    1 quart : 1 scoop : 2 scoops.  However, there is no fraction present since the ratio is not of the form part to whole.