Addition and Subtraction of Like Fractions
Here we will learn about addition and subtraction of like fractions.
Addition of Like Fractions:
In order to add two or more like fractions, we may follow the following steps:
Step I:
Obtain the fractions.
Step II:
Add the numerators of all fractions.
Step III:
Retain the common denominator of all fractions.
Step IV:
Write the fraction as Result in Step II / Result in Step III.
For Example:
Add the following fractions.
1. 1/6 + 4/6
Solution:
We have,
1/6 + 4/6
= (1+4)/6
= 5/6
2. 2/7 + 3/7 + 4/7
Solution:
We have,
2/7 + 3/7 + 4/7
= (2+3+4)/7
= 9/7
3. 23/5 + 4/5 + 12/5
Solution:
We have,
23/5 + 4/5 + 12/5
= (2 × 5 + 3)/5 + 4/5 + (1 × 5 + 2)/5
= (10 + 3)/5 + 4/5 + (5 + 2)/5
= 13/5 + 4/5 + 7/5
= (13 + 4 + 7)/5
= 24/5
4. 11/4 + 23/4 + 71/4
Solution:
We have,
11/4 + 23/4 + 71/4
= (1 × 4 + 1)/4 + (2 × 4 + 3)/4 + (7 × 4 + 1)/4
= (4 + 1)/4 + (8 + 3)/4 + (28 + 1)/4
= 5/4 + 11/4 + 29/4
= (5 + 11 + 29)/4
= 45/4
Subtraction of Like Fractions:
To subtract two or more like fractions we simply subtract their numerators and keep the same denominator.
In order to subtract two like fractions, we may follow the following steps:
Step I:
Obtain the two fractions and their numerators.
Step II:
Subtract the smaller numerator from the bigger numerator.
Step III:
Retain the common denominator.
Step IV:
Write the fraction as Result in Step II / Result in Step III.
For Example:
1. Subtract 3/10 from 8/10
Solution:
We have to find,
8/10 – 3/10
= (8 – 3)/10
= 5/10
= (5 ÷ 5)/(10 ÷ 5) [Dividing the numerator and denominator by their HCF (highest common factor) 5].
= 1/2
2. Compute: 5/12 – 7/12 + 11/12
Solution:
We have,
5/12 – 7/12 + 11/12
= (5-7+11)/12
= (11-2)/12
= 9/12
= (9 ÷ 3)/(12 ÷ 3) [Dividing the numerator and denominator by their HCF (highest common factor) 3].
= 3/4
3. Simplify: 42/3 + 1/3 – 41/3
Solution:
We have,
42/3 + 1/3 – 41/3
= (4 × 3 + 2)/3 + 1/3 - (4 × 3 + 1)/3
= (12+2)/3 + 1/3 – (12+1)/3
= 14/3 + 1/3 - 13/3
= (14 + 1 – 13)/3
= (15 – 13)/3
= 2/3
4. Subtract \(\frac{3}{7}\) from \(\frac{5}{7}\).
Solution:
\(\frac{5}{7}\) - \(\frac{3}{7}\)
= \(\frac{5 - 3}{7}\)
= \(\frac{2}{7}\)
5. Emily has \(\frac{7}{12}\) hrs to reach her school. She takes \(\frac{5}{12}\) hrs to finish her breakfast. How much time is left with Emily to reach her school?
Solution:
We subtract \(\frac{5}{12}\) from \(\frac{7}{12}\).
\(\frac{7}{12}\) - \(\frac{5}{12}\)
= \(\frac{7 - 5}{12}\)
= \(\frac{2}{12}\) hrs is left with her.
For Example:
Add the following fractions.
1. 1/6 + 4/6Solution:
We have,
1/6 + 4/6
= (1+4)/6
= 5/6
2. 2/7 + 3/7 + 4/7
Solution:
We have,
2/7 + 3/7 + 4/7
= (2+3+4)/7
= 9/7
3. 23/5 + 4/5 + 12/5
Solution:
We have,
23/5 + 4/5 + 12/5
= (2 × 5 + 3)/5 + 4/5 + (1 × 5 + 2)/5
= (10 + 3)/5 + 4/5 + (5 + 2)/5
= 13/5 + 4/5 + 7/5
= (13 + 4 + 7)/5
= 24/5
4. 11/4 + 23/4 + 71/4
Solution:
We have,
11/4 + 23/4 + 71/4
= (1 × 4 + 1)/4 + (2 × 4 + 3)/4 + (7 × 4 + 1)/4
= (4 + 1)/4 + (8 + 3)/4 + (28 + 1)/4
= 5/4 + 11/4 + 29/4
= (5 + 11 + 29)/4
= 45/4
● Fraction
Representations of Fractions on a Number Line
Conversion of Mixed Fractions into Improper Fractions
Conversion of Improper Fractions into Mixed Fractions
Interesting Fact about Equivalent Fractions
Addition and Subtraction of Like Fractions
Addition and Subtraction of Unlike Fractions
Inserting a Fraction between Two Given Fractions
Numbers Page
6th Grade Page
From Addition and Subtraction of Like Fractions to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
5th Grade Highest Common Factor | HCF | GCD|Prime Factorization Method
Mar 24, 25 03:40 PM
The highest common factor (H.C.F.) of two or more numbers is the highest or greatest common number or divisor which divides each given number exactly. Hence, it is also called Greatest Common Divisor… -
5th Grade Factors and Multiples | Definitions | Solved Examples | Math
Mar 23, 25 02:39 PM
Here we will discuss how factors and multiples are related to each other in math. A factor of a number is a divisor which divides the dividend exactly. A factor of a number which is a prime number is… -
Adding 2-Digit Numbers | Add Two Two-Digit Numbers without Carrying
Mar 23, 25 12:43 PM
Here we will learn adding 2-digit numbers without regrouping and start working with easy numbers to get acquainted with the addition of two numbers. -
Worksheet on 12 Times Table | Printable Multiplication Table | Video
Mar 23, 25 10:28 AM
Worksheet on 12 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home. -
Vertical Subtraction | Examples | Word Problems| Video |Column Method
Mar 22, 25 05:20 PM
Vertical subtraction of 1-digit number are done by arranging the numbers column wise i.e., one number under the other number. How to subtract 1-digit number vertically?
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.