Unit 7: Fractions
Unit 7: Fractions
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Important terms:
Important terms:
Numerator: the number above the line in a common fraction. The numerator represents how many pieces we have.
Numerator: the number above the line in a common fraction. The numerator represents how many pieces we have.
Denominator: the number below the line in a common fraction. The denominator shows how many pieces you need in total for one whole.
Denominator: the number below the line in a common fraction. The denominator shows how many pieces you need in total for one whole.
In this example, there is 7/8 of a pizza.
There are 7 pieces there out of 8 pieces total!
Types of Fractions
Types of Fractions
Proper fraction: a fraction where the numerator value is less than the denominator.
Proper fraction: a fraction where the numerator value is less than the denominator.
Improper fraction: a fraction where the numerator value is more than the denominator.
Improper fraction: a fraction where the numerator value is more than the denominator.
Mixed number fraction: a combination of a whole number and a proper fraction.
Mixed number fraction: a combination of a whole number and a proper fraction.
Improper Fractions & Mixed Numbers
represent numbers greater than a whole.
Improper Fractions & Mixed Numbers
represent numbers greater than a whole.
When writing improper fractions, count how many pieces you have (7). Use that number as the numerator. Then the denominator is how many equal pieces you need for one whole shape (4).
These two examples show how 7/4 and 1 3/4 are equivalent fractions.
These two examples show how 7/4 and 1 3/4 are equivalent fractions.
They mean the same thing, but they are written in a different way.
They mean the same thing, but they are written in a different way.
When writing a mixed fraction, start with how many whole shapes you have (1), then add a proper fraction to show how much is left over (3/4).
How to convert mixed numbers to improper fractions:
How to convert mixed numbers to improper fractions:
Take a look at the following videos that explain how to convert a mixed number into an improper fraction and back again! By doing this, you are creating equivalent fractions!
Take a look at the following videos that explain how to convert a mixed number into an improper fraction and back again! By doing this, you are creating equivalent fractions!
How to place fractions on a number line:
How to place fractions on a number line:
Ex. Place the following numbers on a number line:
Ex. Place the following numbers on a number line:
2/4, 7/4, 9/4.
2/4, 7/4, 9/4.
- If placing improper fractions on a number line, divide each whole number on the number line into equal parts that is equal to the denominator.
- In this example, the denominator for all the fractions is 4. Therefore, I divided each number on the number line into 4 equal parts.
- I counted until I reached 2/4, 7/4 and 9/4, then plotted my points.
How to place fractions on a number line:
How to place fractions on a number line:
Ex. Place the following numbers on a number line: 2/4, 1 3/4, 2 1/4.
- If placing mixed number fractions on a number line, divide each whole number on the number line into equal parts that is equal to the denominator.
- In this example, the denominator for all the fractions is 4. Therefore, I divided each number on the number line into 4 equal parts.
- First I look at the whole number and know that my answer will be between the whole number and the number after it. For example, with 1 3/4, I know this will fall on the number line between 1 and 2.
- Once I know where to generally place my answer, look at the proper fraction and plot my point on the line accordingly. See the example below:
When plotting both improper fractions and mixed numbers,
I would advise you to:
When plotting both improper fractions and mixed numbers,
I would advise you to:
- Convert all fractions to mixed numbers.
- Determine in between which numbers your answer will fall.
- Look at the denominator and split that part of the number line into that many equal parts.
- Plot the numbers appropriately on the line.
Solving word problems involving fractions:
Solving word problems involving fractions:
Please see some examples of possible word problems involving fractions and how to solve them below!
Please see some examples of possible word problems involving fractions and how to solve them below!
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