What fraction is shaded?
The shape in the diagram is a pentagon. We know this because it has five sides. But more importantly than this, it’s a pentagon that’s been split into equal parts. Each part is a triangle. And if we count the number of triangles, we can see that the number of equal parts is five. Now, the question asked us to write the fraction of the shape that’s shaded.
We know that a fraction is made up of two numbers with a line in between. The denominator, which is the bottom number, shows the number of equal parts that the shape has been divided into. And as we’ve said already, our pentagon has been split into five equal triangles. So, we can complete the denominator using the number five. The fraction that’s shaded will be a number of fifths.
The top number in the fraction, which is the numerator, shows the number of selected parts, the number of parts that we’re talking about. And in this particular question, we’re talking about the number of parts that are shaded. And if we count those, we can see that there are three shaded parts. So, the numerator in our fraction will be the number three. Three out of five equal parts are shaded, and so we can say that the fraction of the shape that’s shaded is three-fifths.