# How To Add And Subtract Fractions Step By Step

How To Add And Subtract Fractions Step By Step – We use cookies to do well. By using our site, you accept our cookie policy.Cookie settings

This article was co-authored by David Jia. David Jia is an Academic Tutor and the 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 preparation for the SAT, ACT, ISEE, etc. After achieving a perfect score of 800 in math and a score of 690 in English on the SAT, David was awarded a Dickinson Scholarship from 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 Add And Subtract Fractions Step By Step

There are 10 references mentioned in this article, which can be found at the bottom of the page.

#### Subtraction Of Fractions

Adding and subtracting fractions is an important skill to acquire. Fractions appear in everyday life all the time, especially in math classes, from elementary school to college. Just follow these steps to learn how to add and subtract fractions, if they are like fractions, unlike fractions, mixed or improper. Once you know a way, the rest is easy!

To add and subtract fractions with the same denominator, or a lower number, place the 2 fractions side by side. Add or subtract the numerators, or higher numbers, and write the result in a new fraction above. The bottom number in the answer will be the same as the denominator of the original fractions. To learn how to add and subtract fractions with different denominators, keep reading! We use cookies to make things better. By using our site, you accept our cookie policy.Cookie settings

#### Addition And Subtraction Of Fractions

This article was co-authored by David Jia and staff writer Jessica Gibson. David Jia is an Academic Tutor and the 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 preparation for the SAT, ACT, ISEE, etc. After achieving a perfect score of 800 in math and a score of 690 in English on the SAT, David was awarded a Dickinson Scholarship from 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.

Subtracting fractions can be a little confusing at first, but with some basic multiplication and division, you’ll be ready for simple subtraction. If the fractions are correct, make sure the denominators are the same before subtracting the numerators. If the fractions are mixed and you have whole numbers, make them improper fractions. You also need to make sure the denominators are the same before subtracting the numerators.

## Math In Demand: Operations With Fractions Wheel Foldable (adding, Subtracting, Multiplying, And Dividing Fractions)

To reduce fractions, first make sure the denominators are the same. Otherwise, find the least common multiple of the 2 denominators. Then, multiply each denominator so that it equals the least common multiple. Then, multiply the numerator by the same number you multiplied the denominator. Finally, subtract the numerators and leave the denominator as the lowest common denominator. To learn how to subtract mixed numbers, scroll down! Now that we’re done with geometry, let’s move on to Fractions. Oh Frazioni! Children come with preconceived notions that pieces are big and bad and scary and difficult and meaningful. I felt it was my job to prove them wrong. Posting a little out of order, but I wanted to post our addition and subtraction fraction anchor chart and folding.

Kids copy the anchor chart into their awesome folding addition and subtraction fraction, an amazing FREEBIE from 4mulaFun. Click the link to follow her on Pinterest. He is a great pinner to follow.

### Ways To Add Fractions With Unlike Denominators

I will be adding our anchor charts and notes pages for all of our fraction concepts soon. In the meantime, if you’re looking for fraction resources, they’re in my TpT shop. My current favorite? All the Task Fraction Cards you could ever want (256 cards, to be exact), all in one bundle. ðŸ™‚

And another great resource I use while teaching Fractions is Fun and Fabulous Fraction Stories. These kids can’t get enough of these stories, and they are perfect work activities because they review the concept we covered that day!

*Note: I receive nothing in return for discussing Funny and Fabulous Fraction Stories, and I am not paid to discuss. This is a book I have had for years and LOVE!

## Understand, Add & Subtract Fractions Visually: 3 In 1 Visual Maths Fractions By Eng S. Jama

If you’re looking for more resources for teaching operations with fractions, stop by my store to check out the Ultimate Fraction Operations Resource Bundle! At the bottom of this page, there are also three printable resource sheets that explain fractions a bit more. details.

If you want a calculator that will do the hard work for you, then try our Subtraction Fractions Calculator.

If you want to learn how to do this yourself, skip this part and keep reading.

## Nf.3 Adding & Subtracting Fractions

For those of you who like to see some algebra, here is a simple formula for subtracting two fractions:

It is as if you are subtracting two values, one given in inches and one in centimeters – you need to convert both measurements to the same units – centimeters or inches – before doing the subtraction!

If this is the case, simply multiply the numerator and denominator of the fraction with the lowest denominator so that the two denominators are equal.

## How To Multiply Fractions

The easiest and simplest way to convert two fractions into equivalent fractions with the same denominator is to multiply the numerator and denominator of each fraction by the denominator of the other.

When both fractions have the same denominator, we can subtract the second numerator from the first.

Notice that the second denominator (15) is a multiple of the first denominator (5) so we need to follow Step 1a)

### Addition And Subtraction Of Dissimilar Fractions

Now the denominators are the same, all we have to do now is subtract the second numerator from the first.

We need to write this answer in simplest form, so divide the numerator and denominator by a common factor of 5!

The denominator of the first fraction is 7. The denominator of the second fraction is 5. These numbers are not multiples of each other.

#### Adding & Subtracting Negative Fractions

Now convert both fractions into fractions with the same denominator, and change our subtraction to: [ – = – ]

The denominator of the first fraction is 4. The denominator of the second fraction is 6. These numbers are not multiples of each other.

Then we multiply the numerator and denominator of the 1st fraction by 6 and the numerator and denominator of the 2nd fraction by 4.

## Add And Subtract Fractions: Like And Unlike Denominators

First we convert the two fractions to the same denominator by multiplying the numerator and denominator of the first fraction by d, and the numerator and denominator of the second fraction by b.

Since b x d is the same as d x b, we now have two fractions that are equivalent fractions.