Addition and Subtraction of Fractions
Introduction
Fractions are a way of representing parts of a whole. Adding and subtracting fractions is an essential skill in mathematics and everyday life. To add or subtract fractions, you need to have a clear understanding of the concept of fractions and the operations involved.Adding Fractions
To add fractions with the same denominator:- Add the numerators together.
- Keep the common denominator.
- Simplify the resulting fraction, if necessary.
- Find the least common denominator (LCD).
- Rewrite each fraction with the LCD.
- Add the numerators together.
- Keep the common denominator.
- Simplify the resulting fraction, if necessary.
Subtracting Fractions
To subtract fractions with the same denominator:- Subtract the numerators.
- Keep the common denominator.
- Simplify the resulting fraction, if necessary.
- Find the least common denominator (LCD).
- Rewrite each fraction with the LCD.
- Subtract the numerators.
- Keep the common denominator.
- Simplify the resulting fraction, if necessary.
Study Guide
To master adding and subtracting fractions, follow these steps:- Understand the concept of fractions and how to find equivalent fractions.
- Practice finding the least common denominator (LCD) for pairs of fractions.
- Practice adding and subtracting fractions with the same and different denominators.
- Learn to simplify fractions to their lowest terms.
- Apply the concept to real-life problems such as cooking recipes, measurements, and sharing quantities.
Conclusion
.◂Math Worksheets and Study Guides Sixth Grade. Add/Subtract Fractions
Study Guide
Add/Subtract Fractions 
Worksheet/Answer key
Add/Subtract Fractions Worksheet/Answer key
Add/Subtract Fractions Worksheet/Answer key
Add/Subtract Fractions Worksheet/Answer key
Number Problems Worksheet/Answer key
Number Problems Worksheet/Answer key
Number Problems Worksheet/Answer key
Number Problems Worksheet/Answer key
Box It Up Worksheet/Answer key
Adding and Subtracting Mixed Numbers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyCreate And Print more Fractions worksheets with Comparing Fractions, Equivalent Fractions, and Simplifying Fractions
The resources above cover the following skills:
Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Work flexibly with fractions, decimals, and percents to solve problems.
Understand meanings of operations and how they relate to one another.
Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.
Compute fluently and make reasonable estimates.
Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.
Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.