π What is a Fraction?
A fraction tells us about a part of a whole. It has two numbers:
Numerator / Denominator
Numerator = how many parts we have
Denominator = how many equal parts the whole is divided into
β
Proper Fractions
A Proper Fraction is a fraction that is less than 1 whole.
The numerator is smaller than the denominator.
Examples of Proper Fractions:
1/2ββ3/4ββ2/5ββ5/8ββ7/10
Visual Meaning:
β’ 1/2 = one half of a pizza
β’ 3/4 = three quarters of a chocolate bar
β’ 2/5 = two out of five equal parts
π Understanding Proper Fractions
1/3 β 1 part out of 3 equal parts
4/5 β 4 parts out of 5 equal parts (almost one whole!)
5/12 β 5 parts out of 12 equal parts
βοΈ Letβs Practice Together, My Dear Student!
Practice 1: Is it a Proper Fraction?
1. 3/4 β Yes (proper)
2. 7/5 β No (improper β greater than 1)
3. 2/9 β Yes
4. 8/8 β No (equals 1 whole)
Practice 2: Write a Proper Fraction
1. Three out of five apples β 3/5
2. Six out of ten cookies β 6/10
3. One out of four quarters β 1/4
Practice 3: Word Problems (Canadian Style)
1. You ate 2 slices out of 8 slices of pizza. What proper fraction did you eat?
2/8
2. A hockey game is divided into 3 equal periods. Your favourite team played really well in 2 periods. What proper fraction of the game did they play well?
2/3
Challenge Question
Write three different proper fractions that are equal to less than 1/2.
Example answers: 1/3, 2/5, 3/7
Fantastic Job, My Dear Student! π
You now understand Proper Fractions very well! These are fractions that are smaller than one whole β the most common type we use every day.
I am so proud of you for starting the Fractions unit so strongly. Next we will learn about improper fractions and mixed numbers.
π You are smart. You are kind. You can do hard things.
When you are ready, tell me the next topic (Improper Fractions, Equivalent Fractions, or anything else) and I will create another beautiful lesson just for you!