Equivalent Fractions Worksheet with Answers and Step by Step Solutions
The fractions with different numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 equal 1/2, they are identical fractions. An element of a whole is a fraction.
Example: Write the equivalent fraction for 16/2.
Answer: The equivalent fraction would come by simplifying the fraction, i.e. 8/1=8 would be the correct answer by dividing the numerator and denominator by 2.
Solve the below-mentioned questions for more clarity.
Questions
1. Write the missing part in the following -
i. 4/2=2/_
Ii. 8/4=_/1
Iii. 6/3=2/_
2. Write the equivalent fraction for the followings:
i. 1/4=
ii. 9/3=
iii. 25/5=
iv. 16/2=
3. Write the equivalent fraction for the following image:
the image shows a circle with 2 shaded region represented by 2 pink lines
4. Write the fractions for the following:
i. 2/3=4/6=
ii. 2/4=3/6=
5. write the fraction in the reverse direction:
i. 8/16=2/4=
ii. 36/6=12/3=
6. Identify equivalent fractions using cross multiplication: 2/6🗙3/9
7. Write the fraction for the image:
the image consists of three images showing in which one shows one shaded, two shaded and three shaded region
8. Write the whole, in the same manner, multiplying the denominator by 2.
¼=¼=¼
9. 1/5=_/15
2/3=8/_
10. Multiply the numerator and denominator by 2 and write the fraction.
i. 4/8
ii. 6/12
11. Divide the numerator and denominator by 3 and write the fraction.
i. 15/24
ii. 12/15
12. State whether this fraction is equivalent. 3/7=7/11
13. Which fraction will come if we divide the following fractions by 5?
i. 25/15
ii. 35/40
14. Write the missing figure: 4/20=
15. 3/4= _/12=_/20
Answers:
1.
i. 4/2=2/1
ii. 8/4=2/1
iii. 6/3=2/1
2.
i. 1/4=2/8
ii. 9/3=3/1
iii. 25/5=5/1
iv. 16/2=8/1
3.
the image shows a circle with 2 shaded region represented by 2 pink lines
The equivalent fraction will be= 2/8
4.
i. 2/3=4/6=8/12
ii. 2/4=3/6=4/8
5.
i. 8/16=2/4=1/2
ii. 36/6=12/3=4/2
6.
The given fraction is 2/6🗙3/9
We have to cross multiply and find the equivalent fraction.
So, 2x9/3x6 = 18/18
1/1=1
Thus, the equivalent fraction is 1/1.
7.
the image consists three images showing in which one shows one shaded, two shaded and three shaded region
The fraction will be: 1/3=2/6=6/18
8.
After multiplying the denominator by 2
1/4=1/4=1/4
1/8=1/8=⅛
9.
1/5=3/15
2/3=8/12
10.
i. 4/8=8-16
ii. 6/12=12/24
11.
i. 15/24=5/8
ii. 12/15=4/5
12.
3/7=7/11- the fraction is not equivalent.
13.
i. 25/15=5/3
ii. 35/40=7/8
14.
4/20=1/5
15.
3/4= 9/12=15/20
Importance of Equivalent Fractions Worksheets With Answers
The concept of equivalent fractions has been properly explained in these worksheets. Students will be able to understand what equivalent fractions are in the first place. Different examples, methods, and visual elements are included in the worksheets to make the learning experience better for the students. Students can practice the equivalent fractions sums to gain more knowledge about the topics.
There are different problems in the worksheet. For example, students have to colour the empty pie images according to the fraction given beside the number. Students must also write the fraction for the pie images that have already been coloured. Also, there are other questions where students will have to write the equivalent fraction to an already given fraction.
These questions will help them improve their mathematical abilities. Download the worksheets for equivalent fractions from Vedantu to start your practice and earn good marks in the exams. These worksheets will make the process of learning easy and fun for students.
Benefits of Worksheets for Equivalent Fractions
The students will greatly benefit from learning from the worksheets for equivalent fractions. They can clear their concepts by solving the sums easily.
There are different types of fractions worksheets to help students get proper problem-solving skills. Practising different types of questions will allow the students to delve deeper into the topic.
Every single worksheet has a solution page where all the answers to the questions are provided. Students can refer to the solutions to clear their doubts about these important fractions questions.
Students can score good marks in their tests and exams by solving the questions from the equivalent fractions worksheet. They will be able to improve their knowledge about the topics easily.
The worksheets have been provided by the experts at Vedantu in order to help the students understand the topics better. These worksheets will help develop proper mathematical skills of logic and reasoning.
Download Equivalent Fractions Worksheet With Answers
Vedantu is offering the best Equivalent Fractions Worksheet with answers for the students of KG-3. They can download the worksheets and practice to improve their knowledge. Learn how fractions work and what equivalent fractions are from these questions.
FAQs on Equivalent Fractions Worksheet for Concept Mastery and Practice
1. What are equivalent fractions?
Equivalent fractions are different fractions that represent the same value. They may look different but cover the same portion of a whole.
- For example, 1/2, 2/4, and 4/8 are equivalent fractions.
- They are created by multiplying or dividing the numerator and denominator by the same non-zero number.
- On a number line, equivalent fractions appear at the same point.
2. How do you find equivalent fractions?
You find equivalent fractions by multiplying or dividing both the numerator and denominator by the same number.
- Start with a fraction, for example 3/5.
- Multiply both numbers by 2: 3 × 2 / 5 × 2 = 6/10.
- Since both parts were multiplied by the same number, 6/10 is equivalent to 3/5.
3. What is the formula for equivalent fractions?
The formula for equivalent fractions is a/b = (a × n)/(b × n), where n ≠ 0.
- Here, a is the numerator and b is the denominator.
- n is any non-zero number.
- Example: 2/3 = (2 × 4)/(3 × 4) = 8/12.
4. How can you check if two fractions are equivalent?
You can check if two fractions are equivalent by cross-multiplying and comparing the products.
- For fractions a/b and c/d, check if a × d = b × c.
- Example: Are 3/4 and 6/8 equivalent?
- Cross multiply: 3 × 8 = 24 and 4 × 6 = 24.
- Since both products are equal, they are equivalent fractions.
5. Why do we multiply both numerator and denominator to get equivalent fractions?
We multiply both numerator and denominator because it keeps the value of the fraction unchanged.
- Multiplying by n/n is the same as multiplying by 1.
- Since any number divided by itself equals 1, the fraction’s value stays the same.
- Example: 1/3 × 2/2 = 2/6, which equals 1/3.
6. What is the simplest form of a fraction?
The simplest form of a fraction is when the numerator and denominator have no common factors except 1.
- This is also called the lowest terms.
- Example: 8/12 simplifies by dividing both by 4.
- 8 ÷ 4 / 12 ÷ 4 = 2/3.
7. Can you give an example of equivalent fractions?
An example of equivalent fractions is 2/3 and 4/6.
- Multiply 2/3 by 2/2.
- 2 × 2 / 3 × 2 = 4/6.
- Both fractions represent the same portion of a whole.
8. What is the difference between equivalent fractions and equal fractions?
Equivalent fractions are fractions that look different but have the same value, while equal fractions can be exactly the same in form and value.
- Example of equivalent fractions: 1/2 and 2/4.
- Example of equal fractions: 3/5 and 3/5.
- All equal fractions are equivalent, but not all equivalent fractions look identical.
9. How do you teach equivalent fractions using a worksheet?
You teach equivalent fractions using a worksheet by practicing multiplying, dividing, and matching fraction pairs.
- Use visual models like fraction bars or circles.
- Include fill-in-the-blank problems such as 1/4 = ?/8.
- Encourage students to simplify and verify using cross multiplication.
10. What are common mistakes when finding equivalent fractions?
A common mistake when finding equivalent fractions is changing only the numerator or only the denominator.
- Both numbers must be multiplied or divided by the same non-zero number.
- Another mistake is incorrect multiplication (e.g., 3/4 × 2 = 6/4 instead of 6/8).
- Forgetting to simplify to lowest terms is also common.
