Before considering what an equivalent fraction is, let's recap our understanding of a fraction.

Definitions from a mathematical mouse

fraction:  a part of a whole or part of a group which has been split into equal parts or equal groups 

equivalent fractions:  two or more fractions that have  the same value - the same part of the whole or the same part of the group. 

So that this is possible, the equivalent fractions will have different sizes of pieces/sections (denominators) but also will have a different number of those pieces (numerators). 

I think it’s  time for some classic MwaM diagrams to explain more clearly.

In each of the diagrams below, the whole group is made up of 18 squirrels - this is always the same even if the fraction is expressed in a different way.

Next, before we consider how to find lowest common denominators, let’s recap, our understanding of what a denominator is, and then, we need to learn how to find the lowest common multiples. Yes, you heard me correctly… Lowest common multiples!

If you want to practise finding common multiples, this manipulative from Mathsframe is perfect. You can view the multiples of a chosen number separately as you can see above or...wait for it...combine them to create diagrams like those below. I especially love how they use stripes for the common multiples!

This exact skill can be transferred to finding lowest common denominators, which is so important when adding and subtracting fractions.

ACTIVITY TIME

All aboard the Multiples and Factors train! Iin this activity, choo choo choose multiples rather than factors and then identify the lowest common multiple. Make sure you use my tips (see my guide above) to ensure that you find the lowest common multiple. Remember, if these were denominators, this skill would help you find the lowest common denominator. Simples!

The first thing you will notice when you enter Fraction Forest is that it feels a bit like being in a theme park due to the great music! The maths is great too. To find the equivalent frwctions, you need to make some changes to the fractions. If it seems unclear about what to do, you can have a look at the teacher's guide. I have added a helpful link below. Hope you don’t get lost in the forest!

Although the first two challenges in this great game from mathplayground.com relate to fractions on a number line, the third challenge involves finding equivalent fractions to the one indicated on the number line. Can you complete the whole chart? Why I do believe that you can! Don't forget to shout out Bin-Bing-Bingo! (unless you are playing on your own and that might be a bit strange!)

Hang the monkeys on the number line. How often do you get to say that? Well, that's exactly what you need to do in this great  puzzle from digipuzzle.net With each level you manage to complete, the challenge increases until there are more and more and more monkeys!