Understanding fractions can be complicated, but with our 6th grade fraction worksheets, it doesn't have to be! Test your skills and knowledge of fractions with these fun and engaging worksheets that are perfect for sixth-grade students.

Identify Equivalent Fractions.

One of the best ways to begin understanding fractions is by recognizing equivalent fractions. Identify pairs of fractions that are equal to each other. For example, if given fractions such as 3/5 and 6/10, students should be able to recognize that they are equivalents of each other and represent the same amount. Practice problems like these can help build a strong foundation for further learning in this area.

Compare Proper Fractions and Improper Fractions.

In this worksheet, students will practice comparing proper fractions and improper fractions. It is important for students to be able to compare both types of fractions in order to accurately add and subtract them. For example, if given two fractions with different denominators, such as 3/5 and 6/10, students should recognize that the larger numerator (6) makes the second fraction an improper fraction. This can help differentiate between common error when adding or subtracting these numbers.

Add, Subtract, Multiply and Divide Mixed Numbers. 

Knowing how to compare fractions is an important step towards understanding how to add, subtract, multiply and divide them. On this worksheet, students will practice combining proper and improper fractions to create a sum. It is important for students to recognize the sum of 1 when adding two or more fractions with different denominators. For example, if given 4/5 + 2/3, the sum would come out to be 22/15, or 1 7/15.

Add Like Fractions Using Visual Models.

Help your 6th graders become familiar with placing three like fractions onto a number line and combining them to create one resulting fraction. Fractions can be combined by either adding the numerators and keeping the same denominator or by finding their common denominator and then adding the numerators. Visual models of fraction addition can help students better understand these concepts.

Convert Decimals to Fractions Worksheet.

Give your students a chance to practice converting decimals to fractions with our 6th grade fraction worksheet! Using visual models like number lines and grids, students will be able to identify the fraction equivalent of decimal numbers. Once they understand how to convert, they can then use their understanding of fractions to divide, subtract, add and multiply.

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FAQs on fractions class 6

1. What are equivalent fractions? Equivalent fractions are fractions that represent the same value or proportion, even though they may have different numerators and denominators.

   
   

2. How can a fractions calculator help? A fractions calculator is a tool that can perform operations such as addition, subtraction, multiplication, and division with fractions, simplifying the process and providing accurate results.

   
   

3. How do you perform fractions addition? To add fractions, you need to have a common denominator. Once you have the common denominator, you add the numerators and keep the denominator the same. Finally, simplify the fraction if possible.

   
   

4. What is meant by fractions of addition? Fractions of addition refer to the process of adding two or more fractions together.

   
   

5. What are the types of fractions? There are three main types of fractions: proper fractions, improper fractions, and mixed numbers.

   
   

6. How do you perform fractions division? To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.

   
   

7. How do you convert fractions to percentages? To convert a fraction to a percentage, you divide the numerator by the denominator and multiply the result by 100.

   
   

8. How do you perform fractions subtraction? To subtract fractions, you need to have a common denominator. Once you have the common denominator, you subtract the numerators and keep the denominator the same. Finally, simplify the fraction if possible.

   
   

9. What is the meaning of fractions? Fractions represent parts of a whole. They consist of a numerator, which indicates the number of parts being considered, and a denominator, which represents the total number of equal parts in the whole.

   
   

10. How do you convert fractions into percentage? To convert fractions into a percentage, you divide the numerator by the denominator and multiply the result by 100.

    
    

11. How do you convert fractions to decimals? To convert a fraction to a decimal, you divide the numerator by the denominator.

    example:

    
    

12. How do you convert fractions to percentage? To convert a fraction to a percentage, you divide the numerator by the denominator and multiply the result by 100.

    
    

13. How do you convert fractions to decimals?

    To convert a fraction to a decimal, you divide the numerator by the denominator.

    
    

14. What is the significance of fractions in class 6? In class 6, students learn about fractions in-depth, including operations, types, and conversions. This knowledge serves as a foundation for more advanced mathematical concepts in later grades.

    
    

15. How do you perform fractions addition and subtraction? To add or subtract fractions, first, find a common denominator. Then, add or subtract the numerators while keeping the denominator the same. Finally, simplify the fraction if possible.

    
    

    Useful tips on fractions topic:

    
    

    1. Addition of fractions: Example: Add 2/3 and 1/4.

    First, find the least common denominator (LCD). The LCD of 3 and 4 is 12. Now, rewrite the fractions with the LCD: (2/3) * (4/4) = 8/12 and (1/4) * (3/3) = 3/12. Add the fractions: 8/12 + 3/12 = 11/12.

    So, 2/3 + 1/4 = 11/12.

    2. Subtraction of fractions: Example: Subtract 3/5 from 7/10.

    First, find the least common denominator (LCD). The LCD of 5 and 10 is 10. Now, rewrite the fractions with the LCD: (3/5) * (2/2) = 6/10 and 7/10. Subtract the fractions: 7/10 - 6/10 = 1/10.

    So, 7/10 - 3/5 = 1/10.

    3. Multiplication of fractions: Example: Multiply 2/3 by 4/5.

    To multiply fractions, multiply the numerators and then multiply the denominators: (2 * 4) / (3 * 5) = 8/15.

    So, (2/3) * (4/5) = 8/15.

    4. Division of fractions: Example: Divide 3/4 by 2/3.

    To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (3/4) * (3/2) = (3 * 3) / (4 * 2) = 9/8.

    So, (3/4) ÷ (2/3) = 9/8.

Basic conversion of fractions into various operations

1. Fraction to decimal: To convert a fraction to a decimal, divide the numerator by the denominator.

Example: Convert 3/4 to a decimal. 3 ÷ 4 = 0.75

So, 3/4 as a decimal is 0.75.

2. Decimal to fraction: To convert a decimal to a fraction, write the decimal as the numerator and the power of 10 corresponding to the number of decimal places as the denominator. Then, simplify the fraction if possible.

Example: Convert 0.6 to a fraction. 0.6 has one decimal place, so the denominator will be 10^1 = 10. The fraction is 6/10, which simplifies to 3/5.

So, 0.6 as a fraction is 3/5.

3. Fraction to percentage: To convert a fraction to a percentage, divide the numerator by the denominator and multiply the result by 100.

Example: Convert 1/4 to a percentage. (1 ÷ 4) * 100 = 25%

So, 1/4 as a percentage is 25%.

Class 6 fractions important fractions questions for revision

1. Simplify the following fractions: a) 18/24 b) 45/60

2. Convert the following mixed numbers to improper fractions: a) 3 2/5 b) 4 3/7

3. Convert the following improper fractions to mixed numbers: a) 19/4 b) 25/6

4. Add the following fractions: a) 2/3 + 5/6 b) 3/8 + 1/4

5. Subtract the following fractions: a) 5/12 - 1/4 b) 7/10 - 3/5

6. Multiply the following fractions: a) 3/5 × 2/7 b) 4/9 × 3/8

7. Divide the following fractions: a) 6/7 ÷ 3/5 b) 5/8 ÷ 2/3

8. Convert the following fractions to decimals: a) 3/8 b) 7/25

9. Convert the following decimals to fractions: a) 0.45 b) 0.125

10. Convert the following fractions to percentages: a) 3/5 b) 1/8

These questions cover various aspects of fractions, such as simplification, conversion between different forms, and operations involving fractions. Practising these types of questions will help class 6 students build a strong foundation in fractions.