Fractions for Class 5 [+12 Worksheets]

This is a comprehensive lesson plan for teaching fractions to grade 5 students. The lesson is designed to make the concepts easy and engage students with activities like real-life examples, quizzes, practice questions and worksheets.

Teachers can use this guide as a reference for delivering the concepts to students and engaging them in the classroom with the various questions and examples given on this page.

For parents, there are 12 downloadable practice worksheets that they can use for their kids.

In this article, you will learn:

• Understand what fractions are and their types.

• Compare and order fractions.

• Perform addition, subtraction, multiplication, and division of fractions.

• Apply fractions in real-life situations.

 

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What are Fractions?

A fraction represents a part of a whole. It consists of two parts:

• Numerator: The number above the fraction line that tells how many parts we have.

• Denominator: The number below the fraction line that tells the total number of equal parts.

For example, in 3/5, ‘3’ is the numerator, and ‘5’ is the denominator.

Fractions are used in various real-life situations, such as dividing a pizza, measuring ingredients in cooking, and determining time intervals. Understanding fractions is essential for developing a strong foundation in mathematics.

Questions:

1. Identify the numerator and denominator in the fraction 7/9.

2. Write three real-life examples where fractions are used.

3. Express 4/10 in its simplest form.

 

Types of Fractions

Fractions are classified into different types based on their properties:

Questions:

1. Convert 3/4 into an equivalent fraction with a denominator of 16.

2. Identify which are like fractions: 2/5, 4/5, 6/7, 8/9.

3. Write three improper fractions and convert them into mixed fractions.

 

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Operations on Fractions

1. Equivalent Fractions

Equivalent fractions have different numerators and denominators but represent the same value.

Example:

• 1/2 = 2/4 = 3/6 = 4/8

How to Find Equivalent Fractions?

Multiplying or dividing both the numerator and denominator by the same number results in equivalent fractions.

Example:

• Multiply 1/3 by 2/2 → 2/6

• Multiply 2/5 by 3/3 → 6/15

Questions:

1. Find two equivalent fractions for 5/6.

2. Determine if 4/9 and 8/18 are equivalent fractions.

3. Simplify the fraction 12/18.
   
   

2. Comparing and Ordering Fractions

To compare fractions:

• If they have the same denominator, compare the numerators.

• If they have different denominators, convert them to like fractions by finding the Least Common Denominator (LCD).

Example: Compare 3/4 and 5/8.

• Convert 3/4 to 6/8.

• Since 6/8 > 5/8, 3/4 > 5/8.

Questions:

1. Arrange the fractions 2/5, 3/4, and 5/6 in ascending order.

2. Compare 7/9 and 5/6 using the LCD method.

3. Which is greater: 2/3 or 3/5?
   
   

3. Addition and Subtraction of Fractions

• If the denominators are the same, add/subtract numerators directly.

• If the denominators are different, find the LCM of the denominators, then add/subtract.

Example:

• 2/5 + 1/3

• LCM of 5 and 3 = 15

• Convert: 2/5 = 6/15, 1/3 = 5/15

• 6/15 + 5/15 = 11/15

Questions:

1. Solve: 5/8 + 3/8.

2. Subtract: 7/9 - 2/9.

3. Add 1/4, 2/6, and 3/8 by finding the LCM.
   
   

4. Multiplication of Fractions

Multiply the numerators together and the denominators together.

Example:

• 2/3 × 4/5 = (2×4) / (3×5) = 8/15

Questions:

1. Multiply: 3/7 × 2/5.

2. Multiply: 5/8 × 4/9 and simplify.

3. Find the product of 2 1/3 and 4/7.
   
   

5. Division of Fractions

To divide fractions, multiply by the reciprocal of the second fraction.

Example:

• 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8

Questions:

1. Divide: 7/9 ÷ 2/3.

2. Solve: 5/6 ÷ 1/2.

3. Find the quotient of 2/5 ÷ 7/10.

 

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Real-Life Applications of Fractions

1. Cooking & Baking – Recipes often use fractions to measure ingredients, such as 1/2 cup of flour or 3/4 teaspoon of salt.

2. Time Management – A day is divided into hours, minutes, and seconds. We often use fractions like 1/4 hour (15 minutes) or 3/4 of an hour (45 minutes).

3. Shopping & Discounts – Discounts and sales often use fractions, such as 1/2 price sale or buy 3/4 kg of apples.

4. Splitting a Bill – When dining with friends, the total bill is divided among the people, e.g., if three people share a bill equally, each pays 1/3 of the total.

5. Sports & Performance – Running races, swimming events, and other sports track fractions of a second, like finishing a race in 9 3/4 seconds.

6. Construction & Carpentry – Builders measure wood and materials in fractions, such as 1/4 inch plywood or 3/8-inch nails.

7. Medical Dosages – Medicines are often prescribed in fractional doses, such as 1/2 tablet twice a day or 3/4 teaspoon of syrup.

 

Questions:

1. If a cake is cut into 12 pieces and 5 are eaten, what fraction of the cake is left?

2. A car fuel tank holds 40 liters. If it is filled to 3/4 of its capacity, how many liters of fuel does it contain?

3. If a rope of 20 meters is cut into 5 equal parts, what fraction of the original length is each part?

 

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Fun Facts

1. Fractions were used in Ancient Egypt over 4000 years ago.

2. The word ‘fraction’ comes from the Latin word “fractio,” meaning ‘to break’.

3. A fraction where the denominator is 1 is just a whole number.

4. Decimal numbers are just another way to write fractions.

5. 1/7 is a recurring decimal: 0.142857142857...

 

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Formula Charts

 

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Orchids' Resources

Click the button to download the ebook on fractions

 

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Things You Have Learned!

• Fractions represent parts of a whole.
• Types of fractions include proper, improper, and mixed fractions.
• Using rules, we can compare, add, subtract, multiply, and divide fractions.
• Fractions are used in daily life, from cooking to shopping.