1. Chapter 8: Dividing Fractions
MAFS.5.NF.2.7 ; MAFS.5.NF.2.7a; MAFS.5.NF.2.7b ; MAFS.5.NF.2.7c

2. Vocabulary 1. dividend​ the number that is to be divided in a division
problem Ex:
2. equation​ an algebraic or numerical sentence that shows that two quantities are equal, equations have an equal sign
Ex: n X = n = 4
3. fraction​ a number that names a part of a whole or a part of a group
4. quotient​ the number, not including the remainder, that results from dividing
5. whole number​ a number that belongs to the set 0, 1, 2, 3, . . .

4. Multiplying Fractions Review
If you have a mixed number in your problem, turn it into an improper fraction before you multiply.
If you have a whole number, put a 1 for the denominator and multiply.

5. Fractions as Division REMEMBER: The denominator is
Your divisor. The numerator
Is your dividend.
SONG:

6. Dividing Fractions (Old School)
4 ÷ =
K C F
Rules:
KEEP the first fraction.
CHANGE the division symbol to multiplication symbol.
FLIP the last fraction.
Solve.
Example: ⅚ ÷ ½ =
⅚ ÷ 2/1 = 7/6 or 1 ⅙

7. Dividing Fractions (Old School) Cont’d
¾ ÷ ⅛ =
2. ¼ ÷ 3 ⅖ =
3. 2/8 ÷ 4 =
÷ ⅔ =

8. Division with Fractions- Word Problems
Mrs. Ransom is preparing to tape up posters made by her students on the wall. She cuts tape in ⅕ foot pieces. How many ⅕ foot pieces can she cut from 6 feet of tape.

9. Word Problems- Cont’d
3. Julio has 15 pounds of candy. He wants to put the candy into bags so that each bag has ⅕ pound of candy.
How many total bags of candy can Julio make?
2. Julio has 10 pounds of candy. He wants to put the candy into bags so that each bag has 1/2 pound.
Which equation shows how to calculate the number of bags of candy Julio can make?
A. 20 × 1/2 = 10
B. 20 × 2 = 32
C. 20 × 10 = 1/2
D. 20 × 10 = 200

10. Create Your Own Word Problems
*Let’s keep it division.

12. Division with Fractions (new school) Area Models
8 ÷ ¼=
Ex: 4 ÷ ½ =
Rules:
Step 1: Draw four large rectangles to represent the whole number.
Step 2: Divide each rectangle into halves.
Step 3: Count ALL the parts.

13. Division with Fractions (new school) Number Lines
Using a number line to help you divide a whole number by a fraction.
Ex: 6 ➗ ½
Rules:
Step 1: Draw a number line from Divide the number line into halves. Label each half on the number line, starting with ½.
Step 2: Skip count by halves from 0 to 6 to find 6 ➗ ½.
Step 3: Count the number of skips. It takes __ skips to go from So the quotient is __.
8 ÷ ¼=

14. PEMDAS (doesn’t go away)
Order of Operations (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)
⅞ ÷ (¼ +3/6) =
½ ÷ (⅘ - ⅓ ) =

15. Division with fractions - Review for Test
5 ÷ 2 =
Six friends share 4 oranges equally. How much does each friend get?
Amelia has ¼ pound of trail mix that she will divide equally among four bags. Shade the diagram to show the fractional part that will be in each bag.
OLD SCHOOL
Write the problem:

16. Division with Fractions - Review for Test
4. Konnor made a loaf of pumpkin bread. She gave equal portions of ½ of the loaf to 4 friends. Which diagram could she use to find the fraction of the loaf that each friend received. CIRCLE ALL THAT APPLY. C. D.
OLD SCHOOL
Write the problem:
Shade in 1 box.
Shade in first four boxes.
Shade in 1 box from each section.
Answer is A and D.
Problem is ½ / 4