1. Chapter 7 Multiplying Fractions
MAFS.5.NF.2.4; MAFS.5.NF.2.5 ; MAFS.5.NF.2.6

2. Ch 7 Vocabulary
6. simplest form​ a fraction in which 1 is the only number that can divide evenly into the numerator and the denominator
1. denominator​ the number below the bar in a fraction that tells how many equal parts are in the whole or in the group
2. equivalent fractions​ fractions that name the same amount or part
3. mixed number​ a number that is made up of a whole number and a fraction
4. numerator​ the number above the bar in a fraction that tells how many equal parts of the whole are being considered
5. product​ the answer to a multiplication problem

3. Convert mixed numbers to improper fractions
Rules
Step 1: Multiply the denominator by the whole number.
Step 2: Add the numerator. This is your new numerator.
Step 3: New numerator over the original denominator.
Example:
3 ¼ = 13/4
2 ½ = 5/2

4. Khan Academy Video Intro to Multiplying Fractions
arithmetic/arith-review-multiply-fractions/v/multiplying-a- fraction-by-a-fraction
OF means MULTIPLY

5. Multiplying Fractions (Old School)
Rules
Step 1: Multiply the numerators.
Step 2: Multiply the denominators.
Step 3: Convert to mixed number, if necessary.
**If you start with a mixed number, change it to an improper fraction before you multiply.
½ x ¾ =
1 x 3 = 3
2 x 4 = 8
Product is ⅜.
2 ¼ x ⅛ =
9/4 x ⅛ =
Product is 9/32.

6. Multiplying Fractions Cont’d
¾ x 7/10 =
/7 x ⅚ =
½ x 5 2/8 =
⅛ x 4 ⅚ =

8. Multiplying Fractions To Find ARea
To find an area of an object, you multiply length x width.
What is the area of the object below?
3/7 unit
2/4 unit
2. Find the area of the figure below.
2/16
Unit
⅞ unit

9. Multiplying a Fraction by a Whole Number (Old School)
Rules
Step 1: Put the whole number over is your denominator.
Step 2: Solve.
**Change improper fraction to mixed numbers, if necessary.
⅔ x 4 =
⅔ x 4/1 =
8/3 or 2 ⅔

10. Multiplying fractions by whole numbers cont’d
What happens to the product when you...
multiply a whole number by a fraction less than a whole?
Multiply a number greater than one whole (or improper fraction)
2/6 x 3 =
x 1/2 =
3. 34,567 x ⅛ =
x 1 ½ =

11. Fractions Online Game Math Playground

12. Which has a greater value...
Select all the expressions that have a value greater than 1,753.
A. 1,753 × ¼
B. 1,753 × 4
C. 1,753 × 12
D. 1,753 × 1 ½
2. Gavin wants to get a product less than
54,321. Select all the numbers below
he can multiply 54,321 by.
7/12
4/4
1 ⅕
2/9 3
8/5

13. Which has a greater value...Student PRACTICE
Select all the expressions that have a value greater than 2,463.
A. 2,463 × ¼
B. 2,463 × 4
C. 2,463 × 12
D. 2,463 × 1 ½
2. Wade wants to get a product less than
34,642. Select all the numbers below
he can multiply 34,642 by.
8/12
6/6
2 ⅕
3/7 4
9/7

14. Multiplying Fractions with Area Models
Rules: (no worries! I will show you what this means)
Step 1: Choose a fraction to draw out.(I start with the larger number denominator)
Step 2: Shade the numerator.
Step 3: Using the same area model, now cut the model into your new denominator.
Step 4: Shade in your numerator.
Ex: ⅗ x ⅔

15. Area Models cont’d… StuDEnt PractIce
¾ x ⅞ =
3 x ⅓ =
Hint* for whole numbers, you draw out separate rectangles. For example, draw three separate rectangles and cut them into thirds. Then shade in ⅓ of each rectangle.
3. ⅖ x ⅔ =

16. Multiplying Fractions Using a Number Line
Rules:
Step 1: Draw a number line from 0 to 1.
Step 2: Choose a fraction and cut your number line into those sections.
Step 3: Using the number line, draw out your other fraction.

17. Number Lines cont’d
¾ x ⅞ =
3 x ⅓ =
3. ⅖ x ⅔ =

18. Multiplying Fractions using pemdas
Order of Operations (PEMDAS) --->
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
Ex 1: 3 × (2/3 − 1/5)
Ex 2: 2/3 × (7+9)

19. Multiplying Fractions using pemdas.. Student Practice
Order of Operations (PEMDAS) --->
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
Ex 1: 2 × (3/5 − 2/3)
Ex 2: 3/4 × (6+5)

20. Review