2. Mini-Lesson: Decomposing Fractions & Multiplying Fractions by a Whole Number

3. Decomposing Fractions
Unit Fraction – Fractions with a numerator of one.
Fractions can be “decomposed” (separated into small parts) by using repeated addition:
4/5 = 1/5 + 1/5 + 1/5 + 1/5
How many times is 1/5 added together to equal 4/5?
So, 4/5 = 4 x 1/5

4. Multiples
Multiple – A multiple of a whole number is the product of that number and another number.
Example: 15 is a multiple of 5, because 3 x 5 = 15.
You can find the multiples of a number by skip counting: 5, 10, 15, 20,
You can also find the multiples of unit fractions. The number line below is broken into sixths. What are the multiples of 1/6? 1 6 2 6 3 6 4 6 5 6 6

5. Multiple – A multiple of a fraction is the product of the unit fraction and a whole number.1 6 2 6 3 6 4 6 5 6 6
or 1
Where would Freddy the Frog land if he made three jumps down the number line?
Write this as a multiplication sentence.
3 x 1/6 = 3/6

6. Multiples
Multiples go to infinity, so we can continue our counting pattern past 1 (and even further). 1
1 ½ 2 1 6 2 6 3 6 4 6 5 6 6 7 6 8 6 9 6 10 6 11 6 12 6
We can show 9 jumps on this number line as 9 x 1/6, which is equal to 9/6.
This is the same as 1 ½

7. Practice
Use a multiplication equation showing each fraction as a multiple of a unit fraction.
3/4
5/10
5/6
7/8
10/7

8. Exit Question
Exit Question
Charlie ate 1/4 of a pizza each day for 3 days. How much pizza did he eat in all?
Draw a number line to represent this problem.
Solve using repeated addition.
Solve using multiplication.