Shade the fractions of the shapes. Shade one-half. Shade three-quarters. And shade one-third.
In this problem, we’re given three different shapes. And each shape has been split into equal parts. We’re told to shade fractions of the shapes. And we’re given three different fractions to shade, half of the first shape, three-quarters of the second shape, and one-third of the final shape. Let’s go through each shape one by one.
The first shape has been split into four equal parts. So each part is worth a quarter. But we’re asked to shade a half, which is one out of two equal parts. How could we shade a half if the shape has been split into quarters? We need to shade two-quarters in, because two-quarters is the same as a half. There’s more than one way to answer this question. We could shade these two-quarters in or these two-quarters. And we could even shade a half like this. As long as we shade two-quarters, we’ve got the correct answer.
Now, let’s look at the second shape. We’re asked to shade three-quarters. We can see that the shape is split into four equal parts. So just like the first shape, it’s been split into quarters again. But this time, we are asked to shade a number of quarters. Three-quarters is the same as three out of four equal parts. Again, it doesn’t matter which three parts we colour in as long as we shade three out of four. Let’s shade in these three parts for now. We’ve shaded in three-quarters.
For the final shape, we’re asked to shade one-third. The shape has been divided into three equal triangles. Even though one of them is upside down, they are all the same size. So each triangle represents one-third. We need to shade one-third. That’s one out of three equal parts. So we need to shade in any one of these triangles. Let’s colour in this one. One out of three is the same as a third.
We’ve used our knowledge of fractions to help us answer the question. Remember, there’s more than one way to solve the problem. To shade half of the first shape, we need to shade any two parts because two-quarters is the same as one-half. To shade the second shape correctly, we need to shade any three parts. This will show three-quarters. And to shade the final shape correctly, we need to shade any one out of the three triangles. This is the same as one-third. If you have time, here’s a challenge for you. How many different ways can you find to answer this question correctly? Happy shading!