# Common denominators and equivalent fractions

## Finding Common Denominators of Fractions When the denominators of two or more fractions are the same, they have Common Denominators it is the smallest of all the common denominators. Change each fraction (using equivalent fractions) to make their denominators the same as.

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Teaching students to add and subtract fractions can get very tiresome quickly. It can definitely get tedious quickly. One area that I have almost perfected because nothing is perfect in teaching is teaching my student to make common denominators. On this post, I will share four ways I teach students to make common denominators, the order I teach each way, and my rationale behind it. This one is pretty much just what it sounds like. The students use manipulatives, either fraction strips or an equivalent fraction chart similar to what is shown on the chart shown below to convert the fractions to equivalent fractions with the same denominator.

It's easy to add and subtract like fractions, or fractions with the same denominator. You just add or subtract the numerators and keep the same denominator. The tricky part comes when you add or subtract fractions that have different denominators. To do this, you need to know how to find the least common denominator. In an earlier lesson, you learned how to simplify, or reduce, a fraction by finding an equivalent, or equal, fraction where the numerator and denominator have no common factors. To do this, you divided the numerator and denominator by their greatest common factor.

## Finding common denominators

If you're seeing this message, it means we're having trouble loading external resources on our website. - What would happen if we did not have shapes such as circles and rectangles to refer to? Look at example 4 below.

## Equivalent Fractions

Learning Objective s. You often need to know when one fraction is greater or less than another fraction. Since a fraction is a part of a whole, to find the greater fraction you need to find the fraction that contains more of the whole. If the two fractions simplify to fractions with a common denominator , you can then compare numerators. If the denominators are different, you can find a common denominator first and then compare the numerators.

Working with fractions can be difficult for students, because they may have a hard time relating their understanding of operations with whole numbers to operations with fractions. Students have learned that addition can be thought of as joining two or more groups, or sets, to form a new set. They have also learned to add units of like quantities, such as tens to tens, ones to ones, and so on. Addition of fractions should be an extension of these concepts. Understanding the need to use common denominators will help students remember to look for them when adding fractions or mixed numbers.

In the previous section, we explained how to add and subtract fractions with a common denominator. But how can we add and subtract fractions with unlike denominators? Can you add one quarter and one dime? To find the total value of one quarter plus one dime, you change them to the same kind of unit—cents. See the image below. Finding common denominators - Fractions - Pre-Algebra - Khan Academy

## 4 Ways to Teach Students to Make Common Denominators

In order to add or subtract fractions, we have to have common denominators. Those are definitely not common denominators! In order to get the denominators the same, follow these steps:. List multiples of both numbers. Start by listing four multiples for each number. Underline any numbers that are on both lists.

In the previous section, we explained how to add and subtract fractions with a common denominator. But how can we add and subtract fractions with unlike.
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## 5 thoughts on “Common denominators and equivalent fractions”

1. Celide A. says:

You must find a common denominator if you want to add, subtract, or compare fractions that have different denominators. A common denominator, which means .

2. Cenkasate says:
3. Eloise M. says:

How to Find Common Denominators | Wyzant Resources

4. Ruby P. says:
5. Siolusici says:

Let's look at a few ways that we can find the LCM of two numbers.