**Lesson of the week: Division of Fractions**

The 1st term is the total that is being cut, poured, regrouped, distributed, shared, split, or divided.

Strategy 1: Modeling, draw a pictorial representation of the situation.

Strategy 2: Division of Fractions Algorithm, a step by step process.

Algorithm Steps:

Step 1: Keep the 1st term value the same (written as a fraction).

Step 2: Change the division sign to multiplication.

The 1st term is the total that is being cut, poured, regrouped, distributed, shared, split, or divided.

Strategy 1: Modeling, draw a pictorial representation of the situation.

Strategy 2: Division of Fractions Algorithm, a step by step process.

Algorithm Steps:

Step 1: Keep the 1st term value the same (written as a fraction).

Step 2: Change the division sign to multiplication.

**Step 3: Flip the 2nd term to the reciprocal, the numerator and denominator change places (n/d is rewritten to d/n).**

**Example 1**

**Word Problem: Jessica baked two pumpkin pies and plans on giving her neighbors 3/8 of a pie as a present. How many friends will enjoy a pie present? Any remaining pie, Jess will enjoy herself.**

Objective: Calculate how many groups of 3/8 are in 2 wholes.

Objective: Calculate how many groups of 3/8 are in 2 wholes.

**Division Expression: 2 divided by 3/8**

Strategy 1: Modeling

See Interactive Notebook page 23.

Strategy 2: Algorithm

See Interactive Math Notebook (IMN) page 25.

Answer: There are 5 groups of 3/8 with 1/3 remaining. Therefore, 5 neighbors will enjoy a pie present and Jess will eat 1/3 of a serving of pie.

**Example 2**

Word Problem: Carl has 8 1/3 pounds of beef to make tacos with. Each taco gets 5/9 pound of beef. How many tacos can be made?

Objective: Calculate how many 5/9 are in 8 1/3.

Division Expression: 8 1/3 divided by 5/9

Strategy 1: Modeling

See IMN page 23.

Strategy 2: Algorithm

See IMN page 25.

Answer: Carl will be able to make 15 tacos.

**The total your cutting, pouring or serving is ALWAYS the 1st TERM!**