What fraction of the pizza did Sarah eat?
What fraction of the pizza is left?
Scenario: Pizza cut into 4 equal slices, 1 eaten.
Fraction: A number that shows part of a whole. It has a top number (numerator) and bottom number (denominator).
- Identify the whole (total parts)
- Identify the part taken (eaten)
- Write the fraction as taken/total
- Calculate remaining fraction
The pizza is cut into 4 equal slices (total parts = 4)
Sarah ate 1 slice (eaten parts = 1)
Eaten over total = 1/4
Total - eaten = 4 - 1 = 3 slices left, so 3/4 is left
Sarah ate 1/4 of the pizza. 3/4 of the pizza is left.
• Numerator: Number of parts taken
• Denominator: Total number of equal parts
• Remaining: Total - taken = remaining
What fraction of the apple did Tom eat?
If Tom eats another piece, what fraction will he have eaten?
Scenario: Apple cut into 2 equal pieces, 1 eaten initially.
Halves: When something is divided into 2 equal parts, each part is called a half.
The apple is cut into 2 equal pieces (total parts = 2)
Tom ate 1 piece (eaten parts = 1)
Eaten over total = 1/2
Tom eats 1 more piece, so total eaten = 1 + 1 = 2 pieces, which is 2/2 = 1 whole apple
Tom ate 1/2 of the apple. If he eats another piece, he will have eaten 2/2 (the whole apple).
• Halves: 2 equal parts, each is 1/2
• Whole: When numerator equals denominator
• Addition: Combine eaten parts
What fraction of the cookies did Anna take?
What fraction of the cookies are left in the jar?
Scenario: 6 cookies total, 2 taken by Anna.
Fraction of a set: Using fractions to describe part of a group of items.
There are 6 cookies in total
Anna took 2 cookies
Taken over total = 2/6
Remaining = 6 - 2 = 4 cookies, so 4/6 are left
Anna took 2/6 of the cookies. 4/6 of the cookies are left in the jar.
• Set fractions: Part of a group of items
• Take away: Total - taken = remaining
• Same denominator: Total stays the same
Definitions:
Fraction: A number that shows part of a whole. It has a top number (numerator) and bottom number (denominator).
Numerator: The top number showing how many parts we have or take.
Denominator: The bottom number showing how many equal parts there are in total.
Halves: When something is divided into 2 equal parts.
Thirds: When something is divided into 3 equal parts.
Quarters: When something is divided into 4 equal parts.
Fraction of a set: Using fractions to describe part of a group of items.
Core Rules:
1. All parts must be equal in size
2. Numerator = parts taken/have
3. Denominator = total parts
4. Fraction = numerator/denominator
5. Remaining = total - taken
6. Whole = when numerator equals denominator
Step-by-Step Method:
Step 1: Identify the total number of equal parts
Step 2: Identify how many parts are taken or used
Step 3: Write the fraction as taken/total
Step 4: Calculate remaining parts if needed
Step 5: Check your answer makes sense
Examples:
Simple: 1 slice out of 4 pizza slices = 1/4
Medium: 2 cookies out of 6 cookies = 2/6
Advanced: 3 pieces of candy out of 8 pieces = 3/8
Tips:
- Always identify the total first
- Make sure all parts are equal
- Draw pictures to visualize
- Practice with real objects (food, toys)
- Remember: more total parts = smaller individual parts
Key Notes:
- Fractions show equal sharing and division
- Same fraction can apply to different real-life situations
- Fractions help us describe parts of whole things
- Understanding fractions helps with sharing and measuring
4 slices, 1 eaten
2 halves, 1 eaten
6 cookies, 2 taken
8 pieces, 3 eaten
What fraction of the juice did Dad drink?
If Mom drinks 1 more glass, what fraction of the original juice will be consumed?
Scenario: Juice divided into 3 equal glasses, 1 consumed by Dad.
Consumption: Using up or drinking part of a liquid measured in equal portions.
The juice is divided into 3 equal glasses (total parts = 3)
Dad drank 1 glass (consumed parts = 1)
Consumed over total = 1/3
Total consumed = Dad's 1 glass + Mom's 1 glass = 2 glasses, so 2/3 of the original juice is consumed
Dad drank 1/3 of the juice. If Mom drinks 1 more glass, 2/3 of the original juice will be consumed.
• Equal portions: All glasses must hold the same amount
• Addition: Combine consumed portions
• Original: Base fraction on initial total
What fraction of the candies did Sam give away?
What fraction of the candies did Sam eat?
What fraction of the candies are left?
Scenario: 8 candies total: 3 given away, 2 eaten, 3 left.
Distribution: Sharing or giving out items among people or groups.
Sam starts with 8 candies (total = 8)
Given away = 3 candies, so fraction = 3/8
Eaten = 2 candies, so fraction = 2/8
Left = Total - Given away - Eaten = 8 - 3 - 2 = 3 candies, so 3/8 are left
3/8 (given) + 2/8 (eaten) + 3/8 (left) = 8/8 = 1 whole
Sam gave away 3/8 of the candies. Sam ate 2/8 of the candies. 3/8 of the candies are left.
• Distribution: Sharing among different purposes
• Addition: All parts should add up to whole
• Subtraction: Remaining = total - distributed parts
Fraction: A number expressing part of a whole
Numerator: Top number showing parts we have/use
Denominator: Bottom number showing total parts
Equal parts: All sections must be the same size
Real world: Applying math concepts to everyday situations
- Identify the scenario: What are we sharing/dividing?
- Count total parts: How many equal pieces/items?
- Count used parts: How many are taken/used?
- Write fraction: Used over total
- Calculate remainder: Total - used = left
- Verify: Check if parts make sense
• Equal parts: All parts must be the same size
• Numerator: Number of parts used/taken
• Denominator: Total number of parts
• Sharing: Fair distribution of resources
• Remainder: What's left after taking parts
• Verification: All parts should add to whole