How to Find Equivalent Fractions

      Equivalent fractions have the same value, even if their numerators and denominators are different.

In the last lessons, you learned to draw area models and number lines to recognize equivalent fractions.

But drawing models and number lines can be quite slow. 😌

Imagine drawing a model for 17/20!

Don't worry. 😃 There are faster ways to find equivalent fractions - you can use multiplication and division!

Equivalent Fractions Review

      Equivalent fractions have the same value.

They look different, but their values are the same.

How to Use Division to Find Equivalent Fractions

In the last lesson, you learned to simplify fractions by dividing both the numerator and the denominator by the same number:

Simplifying fractions is a way of using division to find equivalent fractions! 

😎 Think about this: If you can find equivalent fractions by dividing, can you also find equivalent fractions by multiplying?

Yes, you can! 👍

Equivalent Fractions by Multiplication

      If you multiply both the numerator and denominator by the same number, you'll get an equivalent fraction!

Just like when dividing, be sure to multiply the numerator and the denominator by the same number. 👍

Equivalent Fractions Practice

Try to use multiplication and division to solve this problem:

Find two fractions equivalent to 6/9.

Let's use division first.

What's the biggest number that you can divide both 6 and 9 by? 🤔 

That's right! Both numbers are divisible by 3. 👍

2/3 is equivalent to 6/9.

👉 Now, let's use multiplication.

Let's try to multiply 6 and 9 by 2.

We get 12/18.

We now have 2 equivalent fractions for 6/9! 🤗

They are 2/3 and 12/18! ✅ 

So What Did We Learn?

      To make equivalent fractions, multiply or divide both the numerator and the denominator by the same number.

Great job learning how to find equivalent fractions! 😀

Now, complete the practice. You'll understand more and remember for longer.