Triangle Fractions

What fraction of the triangle is shaded in?What fraction of the triangle is shaded in?

Not an easy problem.  Its often easier to start with something simple and work from there. So, what fraction of these triangles are shaded in (click on each image to get a bigger view):

Triangle fractiontriangle fractionTriangle FractionTriangle FractionTriangle FractionTriangle FractionTriangle FractionTriangle Fraction

Perhaps you can use your answers to those above to help you solve the more difficult problem at the top of this blog post.

I’ve put them all together for you on a Triangle Fractions Worksheet and you can find the Triangle Fractions Answers

Another version of the same question,  Below is an image of all nine triangles (again, click on the image to enlarge it). There are two pairs of the triangles that have the same fraction shaded (each pair has a different amount shaded in, if that makes sense?!) Can you find the pairs? Can you convince someone else that you are right?

Triangle FractionsTeaching Tip: Have the image of all nine triangles projected onto your interactive whiteboard as the pupils enter the class room.  Let the discussion and debate begin!


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  1. Posted 24/10/2015 at 3:05 pm | Permalink

    I like this as a resource and would like it more if learners could choose to use a pair of scissors to dissect the shapes so they could rearrange the pieces. I want learners to be able to hold and manipulate fractions as well as see them in pictures.

    • A Maths Teacher
      Posted 24/10/2015 at 7:31 pm | Permalink

      Good point.

      There’s nothing stopping you printing out the sheet and chopping it up (or getting your students to do so.)

  2. John Andrew
    Posted 03/03/2020 at 5:17 am | Permalink

    It’s really a great post! This would make the children understand deeply about fraction. Making them understand the whole concept of fraction would really make them prepared upcoming topics about fraction calculation that would tackle the steps on addition, subtraction, multiplication and division of fractions. Most students that don’t have deep understanding about fraction would really find it difficult even at the very basic arithmetic operation on fraction. Also they need some tools to practice fraction calculation. Fraction calculator with steps is a good tool to check the solution. Using this properly would accelerate their learning but being dependent to it would give bad results. So the important point is to make the concept of fraction sink in first to their minds and after they will be ready for the calculation.

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