 # How To Simplify Fractions Step By Step

How To Simplify Fractions Step By Step – We use cookies to make it great. By using our website, you agree to our cookie policy. Cookie settings

David Jia co-authored the article. David Jia is an academic teacher and founder of LA Math Tutoring, a tutoring company based in Los Angeles, California. With more than 10 years of teaching experience, David works with students of all ages and grades on a variety of subjects, provides college admissions counseling, and prepares for the SAT, ACT, ISEE, and other tests. After scoring 800 in Math and 690 in English on the SAT, David received a Dickinson Scholarship from the University of Miami and earned a Bachelor of Business Administration. Additionally, David has worked as an online video tutor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

## How To Simplify Fractions Step By Step A fraction is a number that represents parts of an integer. If a fraction has a numerator greater than its denominator, it is called an “improper fraction” and can be simplified as a mixed number (both integer and fraction). There is nothing wrong with fractions, and in fact, in mathematics, it is easier than rational numbers. However, we use mixed numbers more than improper fractions in our daily life.

#### Simplifying Fractions Worksheet And Template

David Jia co-authored the article. David Jia is an academic teacher and founder of LA Math Tutoring, a tutoring company based in Los Angeles, California. With more than 10 years of teaching experience, David works with students of all ages and grades on a variety of subjects, provides college admissions counseling, and prepares for the SAT, ACT, ISEE, and other tests. After scoring 800 in Math and 690 in English on the SAT, David received a Dickinson Scholarship from the University of Miami and earned a Bachelor of Business Administration. Additionally, David has worked as an online video tutor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article has been viewed 121,453 times. To simplify fractions, start by dividing the numerator by the denominator to convert it to a mixed number. Then put the remainder on the denominator of the original fraction to make a fraction. If necessary, simplify the last fraction to get your answer. For example, if the improper fraction is 10/4, then divide 10 by 4 to get 2 with a remainder of 2. Then put the remainder over the denominator of the original fraction to get 2/4 and simplify it. Divide the answer by 2 1/2 to get 1/2. Read on to find out how to simplify improper fractions using patterns! We use cookies to make it great. By using our website, you agree to our cookie policy. Cookie settings

It is a “wiki” similar to Wikipedia, which means that many of our articles have been co-authored by multiple authors. To create this article, around 29 anonymous people worked on editing and improving it over time. #### Simplifying Fractions. How To Simplify Improper Fractions

Math is difficult. When trying to remember dozens of principles and methods, it is easy to forget even the basics. You are updating two methods to reduce fractions.

It is a “wiki” similar to Wikipedia, which means that many of our articles have been co-authored by multiple authors. To create this article, around 29 anonymous people worked on editing and improving it over time. This article has been viewed 201,698 times. To reduce a fraction, start by listing the factors of the numerator and divisor, which are numbers that are multiplied together to create another number. For example, the factors of 12 would be 1, 2, 3, 4, 6, and 12. Then find the greatest common factor of the numerator or divisor, which is the largest number in the list of factors. Once you find the greatest common factor, divide the numerator and denominator by this number to minimize the fraction! If you want to know how to reduce fractions using prime factor trees, keep reading! At the bottom of this page you will find a printable fact sheet and some practice sheets to help you understand and practice this math skill.

## Math Example Fraction Properties Simplifying Fractions Example 10

Reduce both the numerator and denominator by dividing by a common factor. Now go back to step 1. Since both numbers have a common factor of 5, both the numerator and denominator must be divided by 5.

The common factor of both numbers is 2, so both the numerator and denominator must be divided by 2. ### What Are Equivalent Fractions? Explained For Primary School

Note – the fastest way to simplify this fraction is to divide the numerator and denominator by 4, since its common factor is greater than 2.

Note – when we see that the GCF is 15, we can simplify this fraction more quickly by dividing the numerator and denominator first by that number. Check out our new Simplified Fractions practice area to find the simplest forms of multiple fractions.

## A Lesson On Simplifying Fractions

If you enter the numerator and denominator of the fraction you want to simplify, the calculator will tell you the largest factor that divides both. It also lists the factors of each number and tells you if they are prime.

Math Salamanders hope you enjoy using our free printable math worksheets and all of our other math games and resources. ### How To Simplify Fractions

We welcome comments about our site or careers page in the Facebook comment box at the bottom of each page. We have updated and improved our Fraction Calculator, providing step-by-step solutions to our fraction problems!

## Simplifying Algebraic Fractions

Take a look at our most popular pages to see a variety of sports activities and ideas that you can use with your child If you are a regular user of our site and appreciate what we do, please consider making a small donation to cover our costs. When children first encounter fractures in school, everything will seem strange to them. They should know how to reduce and express fractions in their simplest form. That’s why creative teachers use simplified fraction worksheets to guide students’ first steps with fractions.

The illustrations on the worksheet help students relate fractions to real life. This relationship allows children to better understand simple fractions. But the advantages of simplifying the fraction sheet do not end there and are as follows. #### Simplifying And Evaluating Complex Fractions

Worksheets create a conducive learning environment. There is no peer pressure or competition when kids use the worksheets to learn how to simplify fractions. Simplifying Fraction Worksheets PDF allows kids to experiment with fractional questions, make mistakes, and try again without feeling like someone is scolding them if they don’t get it right.

Repetitive learning forces children to meticulously study concepts and retain what they have learned. Daily practice with simplified fractions worksheets is repetitive learning. Children will learn to simplify whole or mixed fractions as they work with exercises. As students begin to simplify fractions, worksheets can make their journey easier. The selection of the Simple Fractions worksheet depends on the grade and skill level of the students. In addition to helping children simplify fractions, the worksheet encourages children to focus in class.

### What Are Equivalent Fractions And Simplifying Fractions?

Simplified fraction worksheets in PDF format for parents, teachers, and children. It can be easily found and used offline and has online answers for kids to correct their mistakes after checking math questions. Kids can print the worksheets and use them at school, at home, or at a friend’s place while learning in groups. Simplifying partial worksheets can help parents and teachers monitor children’s learning. This evidence encourages parents to get more involved in their children’s education and pay more attention to their children’s learning.

We use cookies to provide you with the best possible service. If you continue to use the Site, we will understand that you agree to the Terms and Conditions. These cookies are safe and secure. We will not share your historical records with third parties. Show more I called this school year the “Year of Fractures” for my daughter. He is currently in Singapore Maths 4A and has been working on fractions almost since he started studying. Add and subtract them, write them with mixed numbers, change improper fractions to mixed numbers, and make them easy to load. #### Fractions For Kids Explained: How To Teach Your Child Fractions At Home

I was a bit worried about simplifying fractions. To determine whether it is possible to reduce the fraction further, you need to analyze the numbers in the numerator and denominator, sometimes this is a difficult concept for children. At first I thought it would be helpful to have a guide to use it. I created this flip chart for him to put in his math notebook, and wrote six questions to keep in mind when I ask him to simplify fractions.

1. If the fraction number is one, it cannot be simplified further. 