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Division with Unit Fractions & Whole Numbers
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What you will learn from this videoWhat you will learn
- How to divide a whole number by a unit fraction.
- How to divide a unit fraction by a whole number.
- That this knowledge can help us make slime, musical instruments & make sure everyone gets their fair share of pie!
- Discussion Questions
Before Video
How can you use what you know about multiplication to find 32 ÷ 8?ANSWERThink what number I can multiply by 8 to get 32, and then use the multiplication fact to find the answer. 8 × 4 = 32, so 32 ÷ 8 = 4.
ANSWERInside a square, I drew 3 rows and colored one of the rows green to represent [ggfrac]1/3[/ggfrac]. I drew 5 columns and colored three of the columns blue to represent [ggfrac]3/5[/ggfrac]. The answer is represented by the part of the square where the colors overlap. The answer is [ggfrac]3/15[/ggfrac].
[ggfrac]3/32[/ggfrac] of the back yard.
Ravi is not correct. He multiplied both the numerator and denominator of [ggfrac]2/3[/ggfrac] by 5. He should have just multiplied the numerator by 5, so the answer is [ggfrac]10/3[/ggfrac].
You can draw a circle to represent 1 and divide it in half. Each part represents [ggfrac]1/2[/ggfrac]. So you have two [ggfrac]1/2[/ggfrac]s. You keep drawing halves until you have five [ggfrac]1/2[/ggfrac]s. You find that [ggfrac]1/2[/ggfrac] × 5 = [ggfrac]5/2[/ggfrac] , so [ggfrac]2/5[/ggfrac] is the wrong answer.
After Video
You need [ggfrac]1/2[/ggfrac] cup of milk to make your favorite cake. You have 3 cups of milk. Describe a model that represents this situation and can help you find how many cakes you can make. ANSWERYou need to solve the equation 3 ÷ [ggfrac]1/2[/ggfrac] = ? Draw 3 circles to represent the 3 cups of milk. Each circle is divided in half and each half represents the [ggfrac]1/2[/ggfrac] cup of milk you need for each cake. You can count to find the number of half cups of milk you have. You have 6 half cups of milk. You can make 6 cakes.
I need to find the answer to 2 ÷ [ggfrac]1/4[/ggfrac] = ? First, I convert the division problem into a multiplication problem: 2 × 4. 2 × 4 = 8. I can make 8 birdhouses with the 2-yard-long wood board.
ANSWER[ggfrac]1/3[/ggfrac] ÷ 2 = [ggfrac]1/6[/ggfrac] . Each small piece is [ggfrac]1/6[/ggfrac] of the pie.
[ggfrac]1/6[/ggfrac] yard.
Delroy is not correct. To find the answer, you need to solve the equation 8 ÷ [ggfrac]1/4[/ggfrac] = ? To divide 8 by [ggfrac]1/4[/ggfrac], you change the division equation into the multiplication equation 8 × 4 = ? 8 × 4 = 32, so there are 32 one-fourth pieces.
- Vocabulary
- Division DEFINE
Finding how many equal groups or how many in each group.
- Whole number DEFINE
The counting numbers: 0, 1, 2, 3, 4, ...
- Fraction DEFINE
A symbol that describes parts of a whole that is divided into equal parts. For example, [ggfrac]1/3[/ggfrac] or [ggfrac]2/3[/ggfrac].
- Unit fraction DEFINE
A fraction with a numerator of 1. For example, [ggfrac]1/5[/ggfrac] , [ggfrac]1/2[/ggfrac] or [ggfrac]1/10[/ggfrac]
- Equation DEFINE
A mathematical statement that uses an equal sign to show that two expressions are equal. For example, 3 × 4 = 12 or 16 ÷ 2 = 4 × 2.
- Partition DEFINE
Splitting into parts. For example, a circle can be partitioned into fourths.
- Multiplication DEFINE
Combining groups of equal size. You can think of multiplication as repeated addition.
- Opposite operations DEFINE
An operation that undoes another operation. Division and multiplication are opposite operations.
- Division DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide