1. Ratios and Rates
Involving Fractions

2. How many servings are in 12 cups.
Where to begin?
One serving of rice is ¾ cup. How many servings are in 12 cups of rice?
What are we trying to calculate? (missing rate)
How many servings are in 12 cups.
Given Rate
Missing Rate
¾ cup
1 serving
12 cups
? servings

3. Setting up the division sentence...
÷ ¾
Dividend:
quantity being split
Divisor:
quantity going “in” or groups

4. Calculate the quotient and find the rate...
12 ÷ ¾ = 16
The rate is
12 cups
16 servings

5. Your turn...
How much will each person get if 6 people share ¾ pound of gold equally between them?
What are we trying to calculate?
How much gold per person
Given rate =
¾ lb : 6 people
Missing rate =
? lb : 1 person

6. Division Sentence and Calculation
What is being split up? (Dividend-1st)
What is going “in” or how many groups? (Divisor)
¾ ÷ 6 = ⅛
The rate is
⅛ lb per person

7. 2 More to Try...
Write the given and missing rate, division sentence and quotient as a rate.
1: Danika is baking a cake. She has only ¾ cup of sugar and knows this is only enough for ⅔ of the recipe. How much sugar does the recipe call for?
2: Bob, a jeweler, has ⅞ of an ounce of silver. He needs ⅖ of an ounce for each pendent. How many pendants can he make?