Fraction: A number that represents part of a whole.
Numerator: The top number showing how many parts we have.
Denominator: The bottom number showing how many equal parts the whole is divided into.
Equal Parts: All parts must be the same size for valid fractions.
- Identify the whole: What is being divided or shared?
- Count total equal parts: How many equal pieces, portions, or sections?
- Count the specific part: How many parts are we considering?
- Write the fraction: Specific parts / Total equal parts
- Simplify if needed: Reduce to lowest terms when possible
2/4 (two fourths): Two of four equal parts of a whole.
This fraction can be simplified to 1/2.
- Identify the total number of equal parts (denominator)
- Count the number of parts taken (numerator)
- Write as numerator/denominator
- Simplify if possible
The sandwich was cut into 4 equal pieces.
Tom ate 2 pieces.
Pieces eaten / Total pieces = 2/4.
2/4 = 1/2 (divide both by 2).
Tom ate 2/4 or 1/2 of the sandwich.
• Equal parts: All pieces must be the same size
• Part-whole relationship: Compare part to total
• Simplification: Reduce fractions to lowest terms
Part-whole relationship: If 1/3 remains, then 2/3 was consumed.
Complementary fractions: Parts that add up to the whole.
The glass originally contained 1 whole glass of juice.
After drinking, 1/3 of the juice remains.
Juice drunk = Whole - Remaining = 1 - 1/3 = 2/3.
Remaining + Drunk = 1/3 + 2/3 = 3/3 = 1 whole glass.
2/3 of the juice was drunk.
• Whole equals 1: The complete amount = 1
• Complementary fractions: Parts that sum to the whole
• Subtraction: To find consumed amount
15/30 (fifteen thirtieths): Fifteen of thirty equal time units.
This simplifies to 1/2 of the total time.
Recess time = 30 minutes.
Soccer time = 15 minutes.
Soccer time / Total time = 15/30.
15/30 = 1/2 (divide both by 15).
They spent 15/30 or 1/2 of recess time playing soccer.
• Time fractions: Compare time periods
• Same units: Both parts measured in minutes
• Simplification: Reduce to lowest terms
10/20 (ten twentieths): Ten of twenty equal time units.
This simplifies to 1/2 of the total time.
Total reading time = 20 minutes.
Emma read for 10 minutes.
Emma's time / Total time = 10/20.
10/20 = 1/2 (divide both by 10).
Emma used 10/20 or 1/2 of the reading time.
• Time comparison: Part of total time
• Equal units: Both measured in minutes
• Simplification: Reduce to simplest form
4/12 (four twelfths): Four of twelve equal items.
This simplifies to 1/3 of the total pencils.
There are 12 colored pencils in total.
Students used 4 pencils.
Pencils used / Total pencils = 4/12.
4/12 = 1/3 (divide both by 4).
The students used 4/12 or 1/3 of the colored pencils.
• Counting objects: Compare used to total
• Part-to-whole ratio: Show relationship
• Simplification: Reduce to lowest terms
Fraction: A number representing part of a whole, written as numerator/denominator.
Numerator: The top number showing how many parts we consider.
Denominator: The bottom number showing total equal parts.
Equal Parts: All parts must be the same size for valid fractions.
Proper Fraction: When numerator is smaller than denominator.
- Identify the whole: What is being divided/shared/measured?
- Count total equal parts: How many equal sections, pieces, or units?
- Count the specific part: How many parts are we interested in?
- Write the fraction: Specific parts / Total equal parts
- Simplify if possible: Divide both by common factors
- Verify: Make sure the fraction makes sense in context
• Parts must be equal in size
• Numerator cannot exceed denominator (in basic fractions)
• All parts together equal the whole (1)
• Equivalent fractions represent the same amount
• Larger denominators create smaller parts