Solved Exercises on Fractions in Real Life for Grade 1

Master fractions through real-life scenarios: sharing food, dividing objects, comparing parts, and practical applications with these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Sharing an Apple
Exercise 1
Sarah has 1 apple. She wants to share it equally with her brother. What fraction of the apple does each person get?
Definition:

Fraction: A way to show parts of a whole. Written as part/whole.

1/2 (one half): One of two equal parts of a whole.

Fraction Method:
  1. Count how many equal parts the whole is divided into (denominator)
  2. Count how many parts we take (numerator)
  3. Write as numerator/denominator
1/2
Sarah gets 1/2
Brother gets 1/2
Step 1: Identify the whole

We have 1 apple (the whole).

Step 2: Determine how many people share

Sarah and her brother = 2 people.

Step 3: Divide the apple equally

1 apple ÷ 2 people = 1/2 apple per person.

Step 4: Write the fraction

Each person gets 1 out of 2 equal parts = 1/2.

Each person gets 1/2 of the apple
Final answer:

Sarah gets 1/2 of the apple, and her brother gets 1/2 of the apple.

Applied rules:

• Equal parts: Fractions require equal division of the whole

• Numerator: Number of parts we take

• Denominator: Total number of equal parts

Tip: Think "out of" when reading fractions: 1/2 means "1 out of 2 parts".
2 Pizza Party
Exercise 2
A pizza is cut into 4 equal slices. Emma eats 1 slice. What fraction of the pizza did Emma eat?
Definition:

1/4 (one fourth): One of four equal parts of a whole.

Parts of a fraction: Numerator (top) / Denominator (bottom).

1/4
Emma ate 1 slice
Total: 4 slices
Step 1: Count total equal parts

The pizza is cut into 4 equal slices.

Step 2: Count parts eaten

Emma ate 1 slice.

Step 3: Write the fraction

Emma ate 1 out of 4 slices = 1/4 of the pizza.

Step 4: Verify equal parts

All slices are equal, so the fraction is valid.

Emma ate 1/4 of the pizza
Final answer:

Emma ate 1/4 of the pizza.

Applied rules:

• Total parts: Denominator shows total equal parts

• Taken parts: Numerator shows parts taken

• Equal division: Parts must be equal for valid fractions

Tip: Draw circles or rectangles to visualize fractions.
Tip: Say fractions as "1 out of 4" instead of just "1 over 4".
3 Birthday Cake
Exercise 3
A birthday cake is cut into 8 equal pieces. Tom eats 3 pieces. What fraction of the cake did Tom eat?
Definition:

3/8 (three eighths): Three of eight equal parts of a whole.

Fraction notation: numerator/denominator where numerator ≤ denominator.

Tom ate 3 out of 8 pieces
Step 1: Identify total equal parts

The cake is cut into 8 equal pieces.

Step 2: Count pieces eaten

Tom ate 3 pieces.

Step 3: Form the fraction

Parts eaten / Total parts = 3/8.

Step 4: Check for equal parts

All 8 pieces are equal, confirming our fraction.

Tom ate 3/8 of the cake
Final answer:

Tom ate 3/8 of the cake.

Applied rules:

• Proper fraction: When numerator < denominator

• Equal partitioning: All parts must be the same size

• Part-whole relationship: Fraction shows part compared to whole

Tip: Use real objects like cookies or paper to practice fractions.
Tip: The bigger the denominator, the smaller each part becomes.
Fraction Basics & Visual Representations
\(\frac{\text{Numerator}}{\text{Denominator}}\)
Fraction Structure
Half
\(\frac{1}{2}\)
One of two equal parts
Quarter
\(\frac{1}{4}\)
One of four equal parts
Three Quarters
\(\frac{3}{4}\)
Three of four equal parts
Key Fraction Concepts:

Numerator: Top number showing parts taken

Denominator: Bottom number showing total equal parts

Equal Parts: All parts must be the same size

Reading Fractions:

1/2 = "one half"

1/3 = "one third"

1/4 = "one fourth" or "one quarter"

3/4 = "three fourths" or "three quarters"

Tip 1: Think of fractions as "parts out of whole".
Tip 2: The bigger the bottom number, the smaller each piece.
Tip 3: Use visual models like pie charts and bar models.
Common fractions: 1/2, 1/3, 1/4, 2/4, 3/4, 1/5, etc.
Real life uses: Sharing food, measuring ingredients, telling time.
Fraction Rules:

• Parts must be equal

• Numerator can't be bigger than denominator (in basic fractions)

• The whole equals all parts combined

1/2
Half
1/4
Quarter
Solution: Exercises 4 to 5
4 Sharing Cookies
Exercise 4
Mom baked 12 cookies. She gave 3 cookies to her daughter. What fraction of the cookies did the daughter receive?
Definition:

3/12 (three twelfths): Three of twelve equal parts.

This fraction can be simplified to 1/4.

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Daughter got 3 out of 12 cookies
Step 1: Count total items

Mom baked 12 cookies in total.

Step 2: Count items given

Daughter received 3 cookies.

Step 3: Write initial fraction

Daughter's cookies / Total cookies = 3/12.

Step 4: Simplify if possible

3/12 = 1/4 (divide both by 3).

Step 5: Interpret the result

Daughter received 1/4 of all cookies.

Daughter received 3/12 = 1/4 of the cookies
Final answer:

The daughter received 3/12 or 1/4 of the cookies.

Applied rules:

• Part-to-whole ratio: Compare part to total

• Simplification: Reduce fractions to lowest terms

• Counting: Accurately count both parts and whole

Tip: Always check if a fraction can be simplified.
Tip: Draw pictures to represent the situation.
5 Time Fractions
Exercise 5
A day has 24 hours. If someone sleeps for 8 hours, what fraction of the day do they sleep?
Definition:

8/24 (eight twenty-fourths): Eight of twenty-four equal parts.

This simplifies to 1/3 of the day.

Sleep: 8 hours
Day: 24 hours
Step 1: Identify the whole

A full day = 24 hours.

Step 2: Identify the part

Sleep time = 8 hours.

Step 3: Form the fraction

Sleep time / Total time = 8/24.

Step 4: Simplify the fraction

8/24 = 1/3 (divide both by 8).

Step 5: Interpret the result

Sleeping takes up 1/3 of the day.

Sleep represents 8/24 = 1/3 of the day
Final answer:

The person sleeps 8/24 or 1/3 of the day.

Applied rules:

• Measurement context: Fractions apply to quantities too

• Unit consistency: Both parts measured in same units

• Simplification: Always reduce to simplest form

Tip: Fractions work with time, distance, volume, etc.
Tip: Use visual bars to represent time fractions.
Fraction Applications & Key Concepts
\(\frac{\text{Part}}{\text{Whole}}\)
Fraction Formula
Fraction Applications:

Sharing: Dividing food, toys, or resources

Measurement: Half a cup, quarter inch, etc.

Time: Half an hour, quarter past, etc.

Probability: Chances and likelihood

Problem-Solving Steps:
  1. Identify the whole: What is being divided?
  2. Identify the part: What portion is taken?
  3. Count equal parts: How many equal divisions exist?
  4. Write the fraction: Part/Total
  5. Simplify if possible: Reduce to lowest terms
Tip 1: Always ensure parts are equal when forming fractions.
Tip 2: Practice with real objects: pizzas, cookies, chocolate bars.
Tip 3: Draw pictures to visualize the fraction situation.
Tip 4: Remember: the bigger the denominator, the smaller each part.
Common mistakes: Forgetting equal parts, mixing numerator and denominator.
Key insight: Fractions show relationships between parts and wholes.
Essential Fraction Facts:

• 1/2 = 2/4 = 4/8 (equivalent fractions)

• Adding all parts gives the whole

• Fractions describe division situations

• Proper fractions: numerator < denominator

Equivalent Fractions
1/2
=
2/4

Questions & Answers

Question: Why do we need to make equal parts when learning fractions? Can't we just say "I ate some of the pizza"?

Answer: Great question! Equal parts are crucial because fractions are about precise amounts. When we say 1/2, we mean exactly one of two equal parts.

Why equal parts matter:

  • If you cut a pizza into 2 pieces but one is much bigger, taking the small piece isn't really "half" - it's less than half
  • Equal parts ensure fairness when sharing (everyone gets the same amount)
  • Equal parts allow us to compare fractions accurately

Think of it this way: "some" could mean anything - a tiny bite or most of the pizza. But 1/2 always means exactly the same amount every time!

Question: My child is struggling with the concept of numerator vs denominator. How can I help them remember which is which?

Answer: Here are some helpful memory tricks for numerator and denominator:

  • "D" words together: Denominator starts with "D", so does "Down" - denominator goes on the bottom
  • Think "down": Denominator = "Down" at the bottom
  • Numer"at"or: Numerator "at" the top
  • Say it as: "Number of parts taken" (numerator) over "total number of parts" (denominator)

Practice with physical objects: "We took 3 pieces out of 4 total pieces" = 3/4, where 3 is on top (numerator) and 4 is on bottom (denominator).

Use the phrase "How many parts did we take?" for numerator, and "How many parts were there altogether?" for denominator.

Question: If I have 1/4 of a pizza and my friend has 1/8 of a pizza, who has more? I thought bigger numbers meant more!

Answer: Excellent observation! With fractions, it works differently than regular numbers. Let me explain:

For the same numerator (top number):

  • 1/4 means 1 piece out of 4 total pieces
  • 1/8 means 1 piece out of 8 total pieces
  • If you cut a pizza into 4 pieces, each piece is bigger than if you cut it into 8 pieces

Visual comparison:

Imagine 2 identical pizzas:

  • Pizza A cut into 4 equal pieces: 1/4 piece is quite large
  • Pizza B cut into 8 equal pieces: 1/8 piece is smaller

So 1/4 is larger than 1/8! Remember: the bigger the bottom number, the smaller each piece becomes.