Real World Fraction Problems Worksheets in Grade 3

Master real world fraction problems through comprehensive worksheets: pizza sharing, cake cutting, cookie division, and daily life applications with these 3 detailed exercises.

Solution: Exercises 1 to 3
1 Pizza Party Worksheet
Exercise 1
At a birthday party, there are 3 pizzas, each cut into 8 equal slices. If 4 friends eat 6 slices each, what fraction of the total pizza did they eat? What fraction remains? Show your work step by step.
Definition:

Fraction: A fraction represents a part of a whole. To find the fraction eaten, divide the number of slices eaten by the total number of slices.

Problem-solving method:
  1. Find the total number of slices available
  2. Calculate how many slices were eaten
  3. Express as a fraction of the whole
  4. Simplify if possible
Total pizzas
3
Slices per pizza
8
Total slices
24
Step 1: Calculate total slices

3 pizzas × 8 slices each = 24 total slices

Step 2: Calculate slices eaten

4 friends × 6 slices each = 24 slices eaten

Step 3: Express as fraction

Fraction eaten = 24/24 = 1 whole pizza

Step 4: Calculate remaining

Remaining = 24 - 24 = 0 slices = 0/24 of the total pizza

Friends ate 24/24 (1 whole) of the total pizza. 0/24 remains.
Final answer:

Friends ate 24/24 (1 whole) of the total pizza. 0/24 remains.

Applied rules:

• Multiplication: To find total, multiply number of items by quantity per item

• Fraction of whole: Part eaten ÷ Total = Fraction eaten

• Subtraction: Remaining = Total - Eaten

• Whole number: Any number over itself equals 1 (24/24 = 1)

All slices eaten (24/24 = 1 whole), no slices remaining

2 Birthday Cake Worksheet
Exercise 2
Mom baked 2 rectangular cakes and cut each into 12 equal pieces. She gave 1/4 of the total pieces to the children, kept 1/6 of the total pieces for herself, and gave the rest to neighbors. How many pieces did each group get? What fraction of the total did the neighbors receive?
Definition:

Finding fraction of a number: To find 1/4 of 24 pieces, multiply 24 by 1/4 = (24 × 1) ÷ 4 = 6 pieces.

Total cakes
2
Pieces per cake
12
Total pieces
24
Step 1: Calculate total pieces

2 cakes × 12 pieces each = 24 total pieces

Step 2: Calculate pieces for children

1/4 of 24 = (1 × 24) ÷ 4 = 24 ÷ 4 = 6 pieces

Step 3: Calculate pieces for mom

1/6 of 24 = (1 × 24) ÷ 6 = 24 ÷ 6 = 4 pieces

Step 4: Calculate pieces for neighbors

Neighbors = Total - Children - Mom = 24 - 6 - 4 = 14 pieces

Step 5: Express neighbors' portion as fraction

Neighbor fraction = 14/24 = 7/12 of the total

Children got 6 pieces (1/4), mom kept 4 pieces (1/6), neighbors received 14 pieces (7/12).
Final answer:

Children got 6 pieces (1/4), mom kept 4 pieces (1/6), neighbors received 14 pieces (7/12).

Applied rules:

• Fraction of a whole number: Multiply the whole number by the numerator, then divide by denominator

• Subtraction: To find remaining amount, subtract given amounts from total

• Equivalent fractions: 14/24 = 7/12 (divide by GCD of 2)

• Checking: 1/4 + 1/6 + 7/12 = 3/12 + 2/12 + 7/12 = 12/12 = 1

6 red pieces (1/4) to children, 4 yellow pieces (1/6) to mom, 14 green pieces (7/12) to neighbors

3 Cookie Distribution Worksheet
Exercise 3
Emma baked 36 cookies for her class. She gave 1/6 to her teacher, 1/4 to her best friend, and 1/9 to her younger brother. How many cookies did each person get? What fraction of the cookies remained? How many cookies remained?
Definition:

Finding multiple fractions of a number: Calculate each fraction separately, then subtract from the total to find the remaining amount.

Total cookies
36
To teacher
1/6
To friend
1/4
To brother
1/9
Step 1: Find 1/6 of 36 cookies

1/6 of 36 = (1 × 36) ÷ 6 = 36 ÷ 6 = 6 cookies to teacher

Step 2: Find 1/4 of 36 cookies

1/4 of 36 = (1 × 36) ÷ 4 = 36 ÷ 4 = 9 cookies to friend

Step 3: Find 1/9 of 36 cookies

1/9 of 36 = (1 × 36) ÷ 9 = 36 ÷ 9 = 4 cookies to brother

Step 4: Calculate cookies given away

Total given = 6 + 9 + 4 = 19 cookies

Step 5: Calculate remaining cookies

Remaining = 36 - 19 = 17 cookies

Step 6: Express remaining as fraction

Remaining fraction = 17/36 of the total cookies

Teacher got 6 cookies (1/6), friend got 9 cookies (1/4), brother got 4 cookies (1/9). 17 cookies remained (17/36).
Final answer:

Teacher got 6 cookies (1/6), friend got 9 cookies (1/4), brother got 4 cookies (1/9). 17 cookies remained (17/36).

Applied rules:

• Fraction of a whole number: Multiply the whole by numerator, divide by denominator

• Adding fractions: When denominators differ, calculate separately then add

• Subtraction: To find remaining amount, subtract given amounts from total

• Verification: Check that all parts add up to the whole (6+9+4+17 = 36)

Real World Fraction Problems Worksheets | Solved Examples | Mathematics Grade 3

Real World Fraction Problems Worksheets in Grade 3

Master real world fraction problems through comprehensive worksheets: pizza sharing, cake cutting, cookie division, and daily life applications with these 3 detailed exercises.

Solution: Exercises 1 to 3
1 Pizza Party Worksheet
Exercise 1
At a birthday party, there are 3 pizzas, each cut into 8 equal slices. If 4 friends eat 6 slices each, what fraction of the total pizza did they eat? What fraction remains?
Definition:

Fraction: A fraction represents a part of a whole. To find the fraction eaten, divide the number of slices eaten by the total number of slices.

Problem-solving method:
  1. Find the total number of slices available
  2. Calculate how many slices were eaten
  3. Express as a fraction of the whole
  4. Simplify if possible
Total pizzas
3
Slices per pizza
8
Total slices
24
Step 1: Calculate total slices

3 pizzas × 8 slices each = 24 total slices

Step 2: Calculate slices eaten

4 friends × 6 slices each = 24 slices eaten

Step 3: Express as fraction

Fraction eaten = 24/24 = 1 whole pizza (all of it)

Step 4: Calculate remaining

Remaining = 24 - 24 = 0 slices = 0/24 of the total pizza

Friends ate 24/24 (1 whole) of the total pizza. 0/24 remains.
Final answer:

Friends ate 24/24 (1 whole) of the total pizza. 0/24 remains.

Applied rules:

• Multiplication: To find total, multiply number of items by quantity per item

• Fraction of whole: Part eaten ÷ Total = Fraction eaten

• Subtraction: Remaining = Total - Eaten

All slices eaten (24/24 = 1 whole), none remain (0/24)

2 Birthday Cake Worksheet
Exercise 2
Mom baked 2 rectangular cakes and cut each into 12 equal pieces. She gave 1/4 of the total pieces to her neighbors, 1/6 to her coworkers, and kept the rest for the family. How many pieces did each group get? What fraction of the total did the family keep?
Definition:

Finding fraction of a number: To find 1/4 of 24 pieces, multiply 24 by 1/4 = (24 × 1) ÷ 4 = 6 pieces.

Total cakes
2
Pieces per cake
12
Total pieces
24
Step 1: Calculate total pieces

2 cakes × 12 pieces each = 24 total pieces

Step 2: Calculate pieces for neighbors

1/4 of 24 = (1 × 24) ÷ 4 = 24 ÷ 4 = 6 pieces

Step 3: Calculate pieces for coworkers

1/6 of 24 = (1 × 24) ÷ 6 = 24 ÷ 6 = 4 pieces

Step 4: Calculate pieces for family

Family = Total - (Neighbors + Coworkers) = 24 - (6 + 4) = 14 pieces

Step 5: Express family portion as fraction

Family fraction = 14/24 = 7/12 of the total pieces

Neighbors got 6 pieces (1/4), coworkers got 4 pieces (1/6), family got 14 pieces (7/12).
Final answer:

Neighbors got 6 pieces (1/4), coworkers got 4 pieces (1/6), family got 14 pieces (7/12).

Applied rules:

• Fraction of a whole number: Multiply the whole number by the numerator, then divide by denominator

• Subtraction: To find remaining amount, subtract given amounts from total

• Simplifying fractions: Divide numerator and denominator by their greatest common divisor

6 red pieces (1/4) to neighbors, 4 yellow pieces (1/6) to coworkers, 14 green pieces (7/12) to family

3 Cookie Distribution Worksheet
Exercise 3
Emma baked 36 cookies. She gave 1/6 to her grandmother, 1/4 to her teacher, and kept 1/3 for her family. The rest she donated to the school bake sale. How many cookies did each recipient get? What fraction went to the bake sale?
Definition:

Finding multiple fractions of a number: Calculate each fraction separately, then subtract from the total to find the remaining amount.

Total cookies
36
To grandmother
1/6
To teacher
1/4
For family
1/3
Step 1: Find 1/6 of 36 cookies

1/6 of 36 = (1 × 36) ÷ 6 = 36 ÷ 6 = 6 cookies to grandmother

Step 2: Find 1/4 of 36 cookies

1/4 of 36 = (1 × 36) ÷ 4 = 36 ÷ 4 = 9 cookies to teacher

Step 3: Find 1/3 of 36 cookies

1/3 of 36 = (1 × 36) ÷ 3 = 36 ÷ 3 = 12 cookies for family

Step 4: Calculate cookies for bake sale

Bake sale = Total - (Grandmother + Teacher + Family) = 36 - (6 + 9 + 12) = 9 cookies

Step 5: Express bake sale portion as fraction

Bake sale fraction = 9/36 = 1/4 of the total cookies

Grandmother got 6 cookies (1/6), teacher got 9 cookies (1/4), family got 12 cookies (1/3), bake sale got 9 cookies (1/4).
Final answer:

Grandmother got 6 cookies (1/6), teacher got 9 cookies (1/4), family got 12 cookies (1/3), bake sale got 9 cookies (1/4).

Applied rules:

• Fraction of a whole number: Multiply the whole by numerator, divide by denominator

• Adding fractions: When denominators differ, calculate separately then add

• Subtraction: To find remaining amount, subtract given amounts from total

• Simplifying fractions: Divide numerator and denominator by their greatest common divisor

Real World Fraction Problems Worksheets | Solved Examples | Mathematics Grade 3

Real World Fraction Problems Worksheets in Grade 3

Complete collection of real world fraction problems worksheets: pizza sharing, cake cutting, cookie division, and daily life applications with these 3 detailed exercises.

Solution: Exercises 1 to 3
1 Pizza Party Worksheet
Exercise 1
At a birthday party, there are 3 pizzas, each cut into 6 equal slices. If 4 friends eat 3 slices each, what fraction of the total pizza did they eat? What fraction remains? Show your work.
Definition:

Fraction: A fraction represents a part of a whole. To find the fraction eaten, divide the number of slices eaten by the total number of slices.

Problem-solving method:
  1. Find the total number of slices available
  2. Calculate how many slices were eaten
  3. Express as a fraction of the whole
  4. Simplify if possible
Total pizzas
3
Slices per pizza
6
Total slices
18
Step 1: Calculate total slices

3 pizzas × 6 slices each = 18 total slices

Step 2: Calculate slices eaten

4 friends × 3 slices each = 12 slices eaten

Step 3: Express as fraction

Fraction eaten = 12/18 = 2/3 of the total pizza

Step 4: Calculate remaining

Remaining = 18 - 12 = 6 slices = 6/18 = 1/3 of the total pizza

Friends ate 12/18 (or 2/3) of the total pizza. 6/18 (or 1/3) remains.
Final answer:

Friends ate 2/3 of the total pizza. 1/3 remains.

Applied rules:

• Multiplication: To find total, multiply number of items by quantity per item

• Fraction of whole: Part eaten ÷ Total = Fraction eaten

• Subtraction: Remaining = Total - Eaten

• Simplification: 12/18 = 2/3 (divide by GCD of 6)

12 red slices eaten (2/3), 6 green slices remaining (1/3)

2 Birthday Cake Worksheet
Exercise 2
Mom baked 2 rectangular cakes and cut each into 8 equal pieces. She gave 3/8 of the total pieces to the children, kept 1/8 of the total pieces for herself, and gave the rest to neighbors. How many pieces did each group get? What fraction did the neighbors receive?
Definition:

Finding fraction of a number: To find 3/8 of 16 pieces, multiply 16 by 3/8 = (16 × 3) ÷ 8 = 6 pieces.

Total cakes
2
Pieces per cake
8
Total pieces
16
Step 1: Calculate total pieces

2 cakes × 8 pieces each = 16 total pieces

Step 2: Calculate pieces for children

3/8 of 16 = (3 × 16) ÷ 8 = 48 ÷ 8 = 6 pieces

Step 3: Calculate pieces for mom

1/8 of 16 = (1 × 16) ÷ 8 = 16 ÷ 8 = 2 pieces

Step 4: Calculate pieces for neighbors

Neighbors = Total - Children - Mom = 16 - 6 - 2 = 8 pieces

Step 5: Express neighbors' portion as fraction

Neighbors' fraction = 8/16 = 1/2 of the total

Children got 6 pieces (3/8). Mom kept 2 pieces (1/8). Neighbors received 8 pieces (1/2).
Final answer:

Children got 6 pieces (3/8). Mom kept 2 pieces (1/8). Neighbors received 8 pieces (1/2).

Applied rules:

• Fraction of a whole number: Multiply the whole number by the numerator, then divide by denominator

• Subtraction: To find remaining amount, subtract given amounts from total

• Equivalent fractions: 8/16 = 1/2

• Verification: 3/8 + 1/8 + 1/2 = 3/8 + 1/8 + 4/8 = 8/8 = 1 whole

6 red pieces (children 3/8), 1 yellow piece (mom 1/8), 8 green pieces (neighbors 1/2)

3 Cookie Distribution Worksheet
Exercise 3
Emma baked 30 cookies. She gave 1/5 to her grandmother, 1/6 to her neighbor, and kept the rest for her family. How many cookies did each person get? What fraction of the cookies did Emma keep for her family? Show your work.
Definition:

Finding multiple fractions of a number: Calculate each fraction separately, then subtract from the total to find the remaining amount.

Total cookies
30
To grandmother
1/5
To neighbor
1/6
Step 1: Find 1/5 of 30 cookies

1/5 of 30 = (1 × 30) ÷ 5 = 30 ÷ 5 = 6 cookies to grandmother

Step 2: Find 1/6 of 30 cookies

1/6 of 30 = (1 × 30) ÷ 6 = 30 ÷ 6 = 5 cookies to neighbor

Step 3: Calculate cookies for family

Family gets = Total - (Grandmother + Neighbor) = 30 - (6 + 5) = 19 cookies

Step 4: Express family portion as fraction

Family fraction = 19/30 of the total cookies

Step 5: Verify the calculation

6/30 + 5/30 + 19/30 = 30/30 = 1 whole ✓

Grandmother got 6 cookies (1/5). Neighbor got 5 cookies (1/6). Family got 19 cookies (19/30).
Final answer:

Grandmother got 6 cookies (1/5). Neighbor got 5 cookies (1/6). Family got 19 cookies (19/30).

Applied rules:

• Fraction of a whole number: Multiply the whole by numerator, divide by denominator

• Adding fractions: When denominators differ, calculate separately then add

• Subtraction: To find remaining amount, subtract given amounts from total

• Verification: All parts should add up to 1 whole