# How To Reduce Fractions Step By Step

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This article was co-authored by David Jia. David Jia is an academic teacher and founder of LA Math Tutoring, a private tutoring company based 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 college admissions counseling and test prep for SAT, ACT, ISEE, and more. After receiving a perfect score of 800 in math and 690 in English on the SAT, David received a Dickinson Scholarship from the University of Miami, where he earned 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 Reduce Fractions Step By Step

There are 8 references cited in this article, located at the bottom of the page.

### Simplify Fractions (easy How To W/ 8 Step By Step Examples!)

Once you understand the concept of fractions, you can start doing simple operations with them. You can add fractions just like you can add other types of numbers. The important thing to remember is that fractions must have the same denominator before you can add them. Once you’ve found the sum of two fractions, you’ll need to simplify or reduce them.

To add fractions with different denominators, he starts by finding the least common factor. Then, divide the denominator of each fraction by that number and multiply the numerator by the numbers you get. Finally, he adds the new numerators and uses the least common multiple as the denominator. To simplify a fraction, he factors only the numerator and denominator, cancels out the common factors, and rewrites the fraction without them. To learn how to add fractions with the same denominator, read on! Learning to multiply fractions, whether it’s fractions by fractions or multiplying fractions by whole numbers, is an important skill that every math student should learn at some point.

## Complex Rational Expressions

This complete guide to multiplying fractions will provide a step-by-step tutorial on how to multiply fractions and includes many examples, animated video mini-lessons and a free worksheet and answer key.

The rules for multiplying fractions are just as simple, and it’s just as easy to apply the rules to a variety of different problems. Let’s go ahead and apply this rule in some examples.

Note that the fraction (3/8) cannot be simplified (because 8 and 3 have no common divisor).

### Add And Subtract Fractions: Like And Unlike Denominators

Now that you understand how to use the rule for multiplying fractions, you can solve this problem where you need to multiply fractions and whole numbers.

Since you’re multiplying fractions by whole numbers, you’ll need to convert the whole number into a fraction.

15/24 can be simplified because both 15 and 24 are divisible by 3 (which is the gcd of 15 and 24). So you can simplify a fraction by dividing both the numerator and denominator by 3 as follows:

### Dividing Fractions In 3 Easy Steps: Your Complete Guide — Mashup Math

Watch the video lesson below to learn more about multiplying fractions and for other free practice problems:

Looking for a little extra practice on multiplying fractions? Click the link below to download the free worksheets and answer keys: We use cookies to do great things. By using our site, you agree to our cookie policy. Cookie settings

This article was co-authored by David Jia. David Jia is an academic teacher and founder of LA Math Tutoring, a private tutoring company based 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 college admissions counseling and test prep for SAT, ACT, ISEE, and more. After receiving a perfect score of 800 in math and 690 in English on the SAT, David received a Dickinson Scholarship from the University of Miami, where he earned a bachelor’s degree in business administration. Additionally, David has worked as an online video instructor for textbook companies such as Larsen Texts, Big Ideas Learning, and Big Ideas Math.

#### Dividing Fractions: 3/5 ÷ 1/2 (video)

Fractions are numbers that represent parts of whole numbers. If the numerator of a fraction is greater than its denominator, it is called an “improper fraction” and can be simplified as a mixed number (a number that combines a whole number and a fraction). There’s nothing wrong with improper fractions, and in fact they’re often easier to work with than mixed numbers in math; However, in our daily life we ​​use mixed numbers rather than improper fractions,

To simplify improper fractions, he starts by dividing the numerator by the denominator to make it a mixed number. Then, convert the remainder to a fraction by placing the denominator of the original fraction. If necessary, simplify the last fraction to get your answer. For example, if your improper fraction was 10/4, you’d start by dividing 10 by 4 to get 2 with a remainder of 2. Then, put the remainder above the original fraction’s denominator to get 2/4, and simplify to get 1/ 2, getting the answer 2 1/2. To learn how to simplify improper fractions using templates, read on! You’ll also find a printable resource sheet and practice sheets at the bottom of this page to help you understand and practice this math skill.

### How To Multiply Fractions In Four Easy Steps

Reduce by dividing both the numerator and denominator by a common factor. Now go back to step 1.

Both numbers have a common factor of 5, so we need to divide the numerator and denominator by 5.

Both numbers have a common factor of 2, so we need to divide the numerator and denominator by 2.

## Multiplying And Dividing Radical Expressions

Note: A quick way to simplify this fraction would be to divide the numerator and denominator by 4 since this is a more common factor than 2.

Note: We could have simplified this fraction more quickly by seeing that the greatest common factor is 15 and first dividing the numerator and denominator by this number.

Check out our new Simplifying Fractions practice area to find the simplest form for a range of fractions.

## How To Subtract Fractions: 11 Steps (with Pictures)

If you type in the numerator and denominator of the fraction you want to simplify, the calculator will tell you the highest factor to divide the two by.

She will also list the factors of each number and tell you whether they are coprime or not.

Math Salamanders hopes you enjoy using these free printable math worksheets and all of our other math games and resources.

## Question Video: Finding The Derivative Of A Rational Function Using The Limit Definition Of Derivatives

We’ve updated and improved our fraction calculator to show you how to solve fraction problems step by step!

#### Simplifying Fractions Worksheet

Check out some of our most popular pages to see a variety of math activities and ideas you can use with your child

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This article was co-authored by David Jia. David Jia is an academic teacher and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grade levels