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
-
Addition of Capacity | Add the Different Units of Capacity | Examples
Nov 14, 24 03:03 PM
In addition of capacity we will learn how to add the different units of capacity and volume together. While adding we need to follow that the units of capacity i.e., liter and milliliter -
Measuring Capacity | Standard Unit of Capacity | Litre | Millilitres
Nov 14, 24 02:40 PM
We will discuss about measuring capacity. The milkman measures milk in liters. Petrol is given in liters. Mobil oil is sold in liters. Two milk bottles contain 1 liter of milk. One milk bottle -
Subtraction of Mass | Difference Between the Units of Mass | Examples
Nov 14, 24 09:16 AM
In subtraction of mass we will learn how to find the difference between the units of mass or weight. While subtracting we need to follow that the units of mass i.e., kilogram and gram -
Worksheet on Subtraction of Mass |Word Problems on Subtraction of Mass
Nov 13, 24 02:00 PM
Practice the third grade math worksheet on subtraction of mass or weight. This sheet provides different types of questions where you need to arrange the values of mass under different columns -
Worksheet on Addition of Mass | Word problems on Addition of Mass
Nov 13, 24 10:24 AM
Practice the third grade math worksheet on addition of mass/weight. This sheet provides different types of questions where you need to arrange the values of mass under different columns
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.