Video: Expressing the Area of Part of a Shape as a Unit Fraction

Consider the shape shown. One out of _ equal parts is shaded. Pick the fraction that shows how much of the shape has been shaded. [A] 3/1, [B] 1/4, [C] 1/3, [D] 1/2.

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Video Transcript

Consider the shape shown. One out of blank equal parts is shaded. And then pick the fraction that shows how much of the shape has been shaded.

Using this shape, we need to fill in the blank. One out of how many parts is shaded? To answer this, we need to know how many equal parts make up the figure: one, two, three. This shape is made up of three equally sized rectangles. To answer this question, one out of how many equal parts is shaded, we say one out of three.

We need to use that information to pick the fraction that shows how much of the shape has been shaded. This fraction would be the number of shaded parts in the numerator and the total number of parts in the denominator. One of the rectangles is shaded. The numerator of our fraction would be one. The total number of rectangles is three. The fraction that shows how much of the shape has been shaded is one-third. One-third is answer choice c.

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