Question Video: Recognizing the Shape of Nonunit Fractions for Halves, Thirds, and Quarters

What fraction is shaded?


Video Transcript

What fraction is shaded?

In the picture, we can see a rectangle. It’s this long strip of a rectangle here. And we can see that part of this rectangle has been shaded orange, but not all of it. If all of the rectangle had been shaded orange, we might say one rectangle is orange or one whole rectangle is orange. But this is only part of a whole rectangle. And we can use fractions to represent part of a whole.

What fraction of this long rectangle is shaded? Well, we know how to write fractions, don’t we? We need a line, a number on the top, and then a number on the bottom. To remember what each number represents, the denominator or the bottom number in a fraction shows us the number of equal parts that the whole amount has been split into. Firstly, we can look at our long strip of a rectangle. And we can see that each of the parts that it’s been split into they are all equal, aren’t they? And there are one, two, three, four parts. We call these quarters. Each of these separate parts is worth one-quarter. And because we’re talking about quarters, we know our denominator must be four, just like all those quarters that we’ve labeled our parts with.

So now that we know we’re talking about quarters, let’s go back to our question. What fraction is shaded is really asking us how many quarters are shaded. To remember what the numerator in the fraction represents, we use it to show the number of parts that we’re talking about. And in this question, we’re talking about the parts that are shaded. And there are one, two, three shaded parts. Three out of a possible four parts are shaded, or three-quarters. The number on the bottom tells us that we’re talking about quarters. And the number on the top tells us how many quarters. The fraction of this rectangle that’s shaded is three-quarters.

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