# How To Do Simplify Fractions

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This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as advising on college admissions and test preparation for the SAT, ACT, ISEE, and more. After scoring a perfect 800 in math and 690 in English on the SAT, David received a Dickinson scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

## How To Do Simplify Fractions

Math is hard. When you’re trying to remember so many different principles and techniques, it’s easy to forget even the most basic concepts. Here is your update on two ways to reduce fractions.

### Number And Algebra: Simplifying Fractions

This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as advising on college admissions and test preparation for the SAT, ACT, ISEE, and more. After scoring a perfect 800 in math and 690 in English on the SAT, David received a Dickinson scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article was read 201,756 times.

To reduce fractions, start by listing the factors of the numerator and denominator, which are numbers that multiply together to form another number. For example, the factors of 12 are: 1, 2, 3, 4, 6, and 12. Then find the greatest common factor between the numerator and the denominator, which is the largest number in both factor lists. Once you’ve found the highest common factor, simply divide the numerator and denominator by that number to reduce the fraction to the lowest number! If you want to learn how to reduce fractions using prime factor trees, read on! Here you will find a wide range of printable fraction worksheets to help your child learn to convert fractions to their simplest form.

This involves dividing the numerator and denominator by a common factor to reduce the fraction to an equivalent fraction with the lowest possible numerator and denominator.

### Math Example Fraction Properties Simplifying Fractions Example 10

The Fraction Simplifier Calculator also shows you how you’ve managed to simplify a fraction if you’re really stuck!

Fraction equivalents, converting fractions to decimals and fraction properties are all learned in our fun games.

At the end of the quiz, you can see your results by clicking “View Result”.

### Ex 7.3, 7

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#### Reducing Fractions 3rd Grade Practice Worksheet

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## Simplifying Fractions Is Just Not That Simple!

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## How To Tell If A Proper Fraction Is Simplified: 8 Steps

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Remember that the numerator and denominator are called the “factors” of the fraction. So if we simplify the fraction, we reduce the fraction to its simplest terms.

## Ways To Add And Simplify Fractions

For example, consider the three rectangles below, where the left side of each rectangle is shaded, and the resulting part represents the shaded part of the entire rectangle.

All three images represent the same part, with each part of the result equal to the other. However, it is important to recognize that even though they are equal, only one fraction is 1/2.

And as this example shows, our goal is to convert a fraction by creating an equivalent fraction whose terms have no other common factors, as noted by Lumen Learning.

#### Simplifying Fractions Worksheets

The way to guess and check is that we pick a number that we know is divisible by both the numerator and the denominator, but we’re not sure if it’s the largest. So we need to reduce the fraction further.

Using guess and check, we see that 24 and 36 are divisible by 3.

Notice that this new fraction of 2/3 is completely simplified because neither the numerator nor the denominator have any common factors.

#### Simplifying Fractions…oh Boy

Whereas the Greatest Common Factor (GCF) method always gives us the largest number we need to divide by.

And then we determine the GCF based on the prime factor. Note that when we find the GCF from the list of prime factors, we choose the lowest factor.

This means that when reducing the fraction 24/26, we must divide both sides by 12, since this is the GCF of both terms.

### Lesson Video: Simplifying Algebraic Fractions

Both methods are perfectly acceptable and it comes down to personal preference which technique you want to use.

Obviously, if your “pin” is also a GCF, you will simplify your fraction quickly, because the GCF always gives the lowest reduction.

In this lesson, we’ll look at several examples of how to reduce fractions to their simplest form, as well as some programming problems where we first create a fraction and then reduce it to its lowest terms. Before class, let’s wrap up Christmas break with my fun attempt to teach equivalent fractions and simplify fractions to students who haven’t understood the meaning of “real” multiplication and division. I know there are many skills students need to learn to simplify fractions. I had to face the fact that the students in my class did not have the necessary skills to understand how to simplify fractions. Trust me, it showed! Every time I tried to show them another way to simplify fractions, the students mentally checked out.

#### How To Multiply Fractions

So out of desperation I cut the class of 28 students in half. I started teaching students how to use a bar graph as an example for adding fractions with like denominators. After adding the fractions, I asked the students if the answer was the simplest. Then I showed how to simplify a fraction, and as soon as I finished, one of my students raised his hand and said, “I don’t understand this GCF thing.”

I took a deep breath, looked at the problem, and started writing on 9/12. I then took the GCF which was 3 and divided the numerator into groups of 3 and the denominator into groups of 3 to show 3/4. After I did, there was a collective… “Ohhhhhhhhhh, I got it!”

As you can imagine, as a 5th grade math teacher, I felt like I hit rock bottom because I had to get the grades. I ask myself how I can teach these students how to understand the difference between multiplication and addition patterns when their understanding of multiplication and division is poor. Like most teachers who feel defeated, I needed someone to talk to about it. I came back home to help math teachers in my Facebook group on Exploring Mathematics. After posting my photo and expressing my disappointment, the teachers commented one by one. It belongs to them