Addition and Subtraction of Like Fractions will begin by checking the denominators of the given fractions. We first confirm whether the given fractions are like fractions or not. The like fractions will have the same denominator. It is really easy to add and subtract the Like Fractions compared to unlike fractions. Learn how to add or subtract Like Fractions in this article with a detailed explanation.
Also, different examples are given for the best practice of students. You can also check the images for the best clarity on the concept. We will help you in all the ways to learn in the best way. Check out our website to get the 6th Grade Math Concepts, worksheets, and also practice questions, etc. It is completely free and you can refer to our website online and also offline.
Like Fractions: Like fractions are the fractions that have the same denominator. By simply adding and subtracting the numerators of like fractions, we can find the addition and subtraction value of like fractions. It is because the denominator remains the same for the given fractions.
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How to Add Like Fractions?
The addition of like fractions is the process of adding fractions having the same denominators. Check out the addition of like fractions with the following procedure.
1. Firstly, check the denominators of the given fractions are the same or not.
2. Add the numerators of the given like fractions.
3. Write the sum of the given like fractions.
4. Finally, simplify the fractions and write down the final answer.
Addition of Like Fractions Examples
We have given different problems along with their explanation and answers. Go through the all problems and learn the complete concept clearly.
Question 1. \(\frac { 3 }{ 4 } \) + \(\frac { 5 }{ 4 } \)
Solution:
Given two fractions are \(\frac { 3 }{ 4 } \) and \(\frac { 5 }{ 4 } \).
The denominator is similar for both given fractions i.e, 4.
Now, add the numerators of given fractions.
The numerators are 3 + 5 = 8.
Therefore, the addition of the given fractions becomes \(\frac { 8 }{ 4 } \).
Question 2. \(\frac { 1 }{ 6 } \) + \(\frac { 2 }{ 6 } \) + \(\frac { 3 }{ 6 } \)
Solution:
Given fractions are \(\frac { 1 }{ 6 } \), \(\frac { 2 }{ 6 } \), and \(\frac { 3 }{ 6 } \).
The denominator is similar for both given fractions i.e, 6.
Now, add the numerators of given fractions.
The numerators are 1 + 2 + 3 = 6.
Therefore, the addition of the given fractions becomes \(\frac { 6 }{ 6 } \) = 1.
Question 3. 2\(\frac { 4 }{ 5 } \) + \(\frac { 7 }{ 5 } \) + 4\(\frac { 2 }{ 5 } \)
Solution:
Given fractions are 2\(\frac { 4 }{ 5 } \), \(\frac { 7 }{ 5 } \), and 4\(\frac { 2 }{ 5 } \).
The denominator is similar for both given fractions i.e, 5.
To add the numerators, change the mixed fractions into fractions.
2\(\frac { 4 }{ 5 } \) = \(\frac { 14 }{ 5 } \)
4\(\frac { 2 }{ 5 } \) = \(\frac { 22 }{ 5 } \).
Now, add the numerators of given fractions.
The numerators are 14 + 7 + 22 = 43.
Therefore, the addition of the given fractions becomes \(\frac { 43 }{ 5 } \).
Question 4. 4\(\frac { 7 }{ 2 } \) + 4\(\frac { 3 }{ 2 } \) + 3\(\frac { 8 }{ 2 } \)
Solution:
Given fractions are 4\(\frac { 7 }{ 2 } \), 4\(\frac { 3 }{ 2 } \), and 3\(\frac { 8 }{ 2 } \).
The denominator is similar for both given fractions i.e, 2.
To add the numerators, change the mixed fractions into fractions.
4\(\frac { 7 }{ 2 } \) = \(\frac { 15 }{ 2 } \)
4\(\frac { 3 }{ 2 } \) = \(\frac { 11 }{ 2 } \)
3\(\frac { 8 }{ 2 } \) = \(\frac { 14 }{ 2 } \).
Now, add the numerators of given fractions.
The numerators are 15 + 11 + 14 = 40.
Therefore, the addition of the given fractions becomes \(\frac { 40 }{ 2 } \).
How to Subtract Like Fractions?
The subtraction of like fractions is the process of subtracting fractions having the same denominators. Check out the Subtraction of like fractions with the following procedure.
1. Firstly, check the denominators of the given fractions are the same or not.
2. Subtract the numerators of the given like fractions.
3. Write the subtraction of the given like fractions.
4. Finally, simplify the fractions and write down the final answer.
Subtraction of Like Fractions Examples
We have given different problems along with their explanation and answers. Go through the all problems and learn the complete concept clearly.
Question 1. Subtract \(\frac { 3 }{ 9 } \) from \(\frac { 7 }{ 9 } \).
Solution: Given two fractions are \(\frac { 3 }{ 9 } \) and \(\frac { 7 }{ 9 } \).
The denominator is similar for both given fractions i.e, 9.
Now, subtract the numerators of given fractions.
\(\frac { 7 }{ 9 } \) – \(\frac { 3 }{ 9 } \)
The subtraction of numerators is 7 – 3 = 4.
Therefore, the subtraction of the given fractions is \(\frac { 4 }{ 9 } \).
Question 2. Compute: \(\frac { 2 }{ 7 } \) – \(\frac { 8 }{ 7 } \) + \(\frac { 12 }{ 7 } \).
Solution: Given fractions are \(\frac { 2 }{ 7 } \), \(\frac { 8 }{ 7 } \), and \(\frac { 12 }{ 7 } \).
The denominator is similar for both given fractions i.e, 7.
Now, subtract the numerators of given fractions.
\(\frac { 2 – 8 + 12 }{ 7 } \).
The subtraction of numerators is 2 – 8 + 12 = 6.
Therefore, the subtraction of the given fractions is \(\frac { 6 }{ 7 } \).
Question 3. Simplify: 3\(\frac { 4 }{ 6 } \) + \(\frac { 3 }{ 6 } \) – 2\(\frac { 5 }{ 6 } \).
Solution: Given fractions are 3\(\frac { 4 }{ 6 } \), \(\frac { 3 }{ 6 } \), and 2\(\frac { 5 }{ 6 } \).
The denominator is similar for given fractions i.e, 6.
Firstly, convert the mixed fractions to fractions.
3\(\frac { 4 }{ 6 } \) = \(\frac { 22 }{ 6 } \)
2\(\frac { 5 }{ 6 } \) = \(\frac { 17 }{ 6 } \)
Now, subtract the numerators of given fractions.
\(\frac { 22 + 3 – 17 }{ 6 } \).
The subtraction of numerators is 22 + 3 – 17 = 8.
Therefore, the subtraction of the given fractions is \(\frac { 8 }{ 6 } \).
Question 4. Subtract \(\frac { 2 }{ 5 } \) from \(\frac { 6 }{ 5 } \).
Solution: Given two fractions are \(\frac { 2 }{ 5 } \) and \(\frac { 6 }{ 5 } \).
The denominator is similar for both given fractions i.e, 5.
Now, subtract the numerators of given fractions.
\(\frac { 6 }{ 5 } \) – \(\frac { 2 }{ 5 } \)
The subtraction of numerators is 6 – 2 = 4.
Therefore, the subtraction of the given fractions is \(\frac { 4 }{ 5 } \).
Question 5. Alex has \(\frac { 9 }{ 24 } \) hrs to reach his office. He takes \(\frac { 5 }{ 24 } \) hrs to finish his breakfast. How much time is left with Alex to reach his office?
Solution:Â Given that a lex has \(\frac { 9 }{ 24 } \) hrs to reach his office. He takes \(\frac { 5 }{ 24 } \) hrs to finish his breakfast.
Now, subtract \(\frac { 5 }{ 24 } \) hrs from \(\frac { 9 }{ 24 } \) hrs to know his breakfast time.
\(\frac { 9 }{ 24 } \) – \(\frac { 5 }{ 24 } \)
Now, subtract the numerators of given fractions.
The subtraction of numerators is 9 – 5 = 4.
Therefore, the subtraction of the given fractions is \(\frac { 4 }{ 24 } \).
\(\frac { 4 }{ 24 } \) hrs left with him.
FAQs on Addition and Subtraction of Like Fractions
Question 1. What is a Like Fraction with Example?
Like fraction can defined as the fractions consisting of same denominators. That means the fractions having same number in the denominator are called as the like fractions. Examples of Like fractions are \(\frac { 4 }{ 5 } \), \(\frac { 1 }{ 5 } \), \(\frac { 6 }{ 5 } \).
Question 2. How to Add Like Fractions?
To add like fractions, check the denominators are similar or not. Then, just add their numerators and note down the sum as the addition of numerators over the common denominator. For example, 2/10 + 3/10 = (2 + 3)/10 = 5/10.
Question 3. How to Subtract Like Fractions?
To subtract like fractions, check the denominators are similar or not. Then, just subtract their numerators and note down the subtraction as the subtraction of numerators over the common denominator. For example, 6/10 – 4/10 = (6 – 4)/10 = 2/10.
Question 4. Is it possible to convert unlike fractions as like fractions?
Yes, it is possible to convert unlike fractions as like fractions. We can use two methods to convert unlike fractions as like fractions. One method is LCM and the other method is cross multiplication. By using these two methods, we can do the conversion.
Wrapping Up
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