Display Title
Definition--Factors and Multiples--Simplifying Fractions Using Factoring
Display Title
Simplifying Fractions with Factoring
Topic
Factors and Multiples
Definition
Simplifying fractions involves reducing the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common factor (GCF).
Description
Simplifying fractions is a fundamental concept in mathematics, particularly within the study of factors and multiples. This process involves breaking down both the numerator and the denominator of a fraction to their simplest forms by identifying and dividing by their greatest common factor (GCF). For example, to simplify the fraction 18/24, one would find that the GCF of 18 and 24 is 6. Dividing both the numerator and the denominator by 6 yields the simplified fraction 3/4.
Understanding how to simplify fractions is crucial because it allows for easier manipulation and comparison of fractions. It is a skill that is widely applicable in various areas of math, including algebra, calculus, and even in real-life scenarios such as cooking or budgeting. Simplifying fractions helps in performing operations like addition, subtraction, multiplication, and division of fractions more efficiently. Moreover, it lays the groundwork for understanding more advanced topics such as rational expressions and equations.
For a complete collection of terms related to factors and multiples click on this link: Factors and Multiples Collection.
| Common Core Standards | CCSS.MATH.CONTENT.3.OA.B.6, CCSS.MATH.CONTENT.4.OA.B.4, CCSS.MATH.CONTENT.6.NS.B.4, CCSS.MATH.CONTENT.HSA.SSE.A.1, CCSS.MATH.CONTENT.3.NBT.A.3, CCSS.MATH.CONTENT.4.NF.B.4.A |
|---|---|
| Grade Range | 3 - 8 |
| Curriculum Nodes |
Algebra • The Language of Math • Numerical Expressions |
| Copyright Year | 2021 |
| Keywords | multiples, factors, definitions, glossary term, factor |
