Halves and Quarters

How to Overcome Your Math Fears in a Fraction

Enjoy this quick visual explanation of halves and quarters and become a “Born Again” fabulous fractions fan!

Forget boring lessons. Learn to use your own eyes to make fractions come alive with this entertaining quick assembly of fractions in action.

Fractions sound dull and and boring, don’t they?

That’s because fractions have often been associated with terms like “hard” or “difficult” or “only for the clever people”.

And yet fractions are everywhere. So in this short article, you can reinvent yourself and become a born again fraction fan.  It’s easier than you think. And here’s how…

The Simple Way to Teach Fractions

The biggest fear of fractions, whether this if for yourself or your family, is simply because you’ve been told “Fractions Are Difficult”

With an abstract subject like mathematics, it often helps to think in pictures. In fact, without images, fractions would be nigh on impossible to teach.

Sometimes one simple image can be worth a thousand words of explanation, and that’s certainly true in the world of fractions.

So lets dive in to some basic fractions and SEE what  fractions are all about. I hope you enjoy it.

Cut in Half

Here is a diagram of a popsicle (or “ice pop” or “ice lolly”):





Here the popsicle has been cut in half by the black line:

Writing Halves

In mathematics, you write a half like this:


And 2 halves make a whole one:

12 + 12 = 1

In the right-hand rectangle below, half of the rectangle has been shaded.

rectangle with one half white and one half shaded




Below is the same rectangle cut in half in a different way. One half has been shaded in yellow.

rectangle intersected by diagonal line running from top-left corner to bottom-right corner, with bottom half of rectangle shaded yellow and top half white.


Now let’s divide this rectangle into four quarters:

rectangle divided into 4 equal smaller rectangles.

Writing a Quarter

You write a quarter as:


Each of the four parts is 14 and so:

14 + 14 + 14 + 14 = 1


One of the quarters below has been colored in yellow:

rectangle divided into 4 quarter, with one quarter colored yellow.

Writing Three Quarters

In the diagram below 3 of the quarters are yellow:

rectangle divided into 4 quarter, with three quarter colored yellow.




You write 3 quarters as:


And notice that:

34 + 14 = 1


Here is another example of 34

rectangle divided into 4 quarter, with 3 quarters colored yellow.







In the shape above, 3 of the 4 parts are colored in yellow.

So 34 is colored and 14 is not colored.

Equal Shapes and Sizes

When halving or quartering a shape, each part must be the same size and shape.

If you divide a shape into two unequal parts, you can’t call them “halves”, because they’re not.

So there you go. I hope you learned more about fractions in this short article. And check out some of the other pages here on the Math2020.com website.

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