Help with Fractions in Simplest Form
Putting fractions in their simplest form is an important elementary math skill, and to do it successfully, you'll need to understand equivalent fractions. Read on for an explanation and examples!
How to Reduce Fractions
Putting a fraction in its simplest form is also called reducing it. This means expressing the fraction using the smallest numerator and denominator possible, while maintaining its equivalence to the original fraction.
Equivalent Fractions
In order to reduce fractions, you need to understand the concept of equivalent fractions. Two fractions can be equivalent even if their numerators and denominators are different. This is possible because fractions express a relationship between the top and bottom numbers. For instance, in the fraction 1/2, one is half of two, and in the equivalent fraction 2/4, two is half of four.
If you multiply both the numerator and the denominator of any fraction by the same number, you'll get an equivalent fraction because the relationship between the top and bottom numbers will still be the same. For instance, 1/2 = 2/4 because 1 x 2 = 2 and 2 x 2 = 4. Below are some other fractions that are equivalent to 1/2. Notice that, in each example, the numerator is half of the denominator.
3/6
5/10
6/12
You can also generate equivalent fractions by dividing the numerator and the denominator by the same number. For example, imagine that you're asked to find equivalent fractions for 6/12. You could multiply both the numerator and the denominator by two to get 12/24, or you could divide them both by two to get 3/6 (6 ÷ 2 = 3 and 12 ÷ 2 = 6). Since 6 ÷ 3 = 2 and 12 ÷ 3 = 4, the fraction 2/4 is also equivalent to 6/12.
Simplest Form
To put a fraction in its simplest form, you'll find the equivalent fraction that's expressed with the lowest numbers. Here's how to do this:
 1. Find the largest number that both the numerator and the denominator are divisible by. For example, if the fraction is 4/8, this number is four.
 2. Divide the numerator and denominator both by this number to generate an equivalent fraction. For instance, 4/8 = 1/2 because 4 ÷ 4 = 1 and 8 ÷ 4 = 2.
 3. The fraction should be fully simplified now. However, you should still check your work by looking to see if there are any other numbers that both the numerator and denominator are divisible by.
Other Articles You May Be Interested In

Young gifted children don't develop at an even, predictable, rate. They usually experience peaks of extraordinary performance instead of consistently high skill levels of all abilities.

Be prepared to enter today's workforce by earning your General Education Development (GED) certificate. This article will discuss the state of South Dakota's requirements for earning a GED certificate.
We Found 7 Tutors You Might Be Interested In
Huntington Learning
 What Huntington Learning offers:
 Online and incenter tutoring
 One on one tutoring
 Every Huntington tutor is certified and trained extensively on the most effective teaching methods
K12
 What K12 offers:
 Online tutoring
 Has a strong and effective partnership with public and private schools
 AdvancEDaccredited corporation meeting the highest standards of educational management
Kaplan Kids
 What Kaplan Kids offers:
 Online tutoring
 Customized learning plans
 RealTime Progress Reports track your child's progress
Kumon
 What Kumon offers:
 Incenter tutoring
 Individualized programs for your child
 Helps your child develop the skills and study habits needed to improve their academic performance
Sylvan Learning
 What Sylvan Learning offers:
 Online and incenter tutoring
 Sylvan tutors are certified teachers who provide personalized instruction
 Regular assessment and progress reports
Tutor Doctor
 What Tutor Doctor offers:
 InHome tutoring
 One on one attention by the tutor
 Develops personlized programs by working with your child's existing homework
TutorVista
 What TutorVista offers:
 Online tutoring
 Student works oneonone with a professional tutor
 Using the virtual whiteboard workspace to share problems, solutions and explanations