# Common denominators and equivalent fractions

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## Finding Common Denominators of Fractions Subtract Fractions with Different Demoninators trick - mentally minus fractions instantly!

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What would happen if we did not have shapes such as circles and rectangles to refer to? Look at example 4 below. The numerator and the denominator of a fraction must be multiplied by the same nonzero whole number in order to have equivalent fractions. You may be wondering why this is so. In the last lesson, we learned that a fraction that has the same numerator and denominator is equal to one.

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. After students have a visual concept for adding fractions, the next step is to have them practice adding fractions by using an algorithm. Remind students that in order to add fractions, they need to find a common denominator a common multiple for the denominators.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Arithmetic Fractions Common denominators. Finding common denominators. Practice: Common denominators. Common denominators review.

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.

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.

## How to Create Equivalent Fractions Using Common Denominators

Let's look at a few ways that we can find the LCM of two numbers., Teaching students to add and subtract fractions can get very tiresome quickly. It can definitely get tedious quickly.

## Least Common Denominator

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. Similarly, when we add fractions with different denominators we have to convert them to equivalent fractions with a common denominator.

. Common Denominators and Equivalent Fractions - Lesson 6.4

## 4 Ways to Teach Students to Make Common Denominators

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## 2 thoughts on “Common denominators and equivalent fractions”

1. Tawicappso on said:

Learning Objective s.

2. Jay E. on said: