Question Video: Writing Fractions Using Part–Whole Models Mathematics • 4th Grade

The large square represents one whole. Write the fraction that represents the shaded area.

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Video Transcript

The large square represents one whole. Write the fraction that represents the shaded area.

In this question, we’re shown a model of a large square, and we’re told this square represents one whole. We have to write the fraction represented by the shaded part. In other words, what fraction of the square is shaded? Let’s start by thinking about the denominator. The large square has been divided into lots of smaller squares. This is a 100 square. It measures 10 squares by 10 squares. And we know that 10 times 10 is 100. So this is a 100 square. If our whole amount or our large square has been divided into 100 equal parts, then each part is worth a hundredth.

We’re just writing the shaded part. So how many squares out of 100 have been shaded orange? Here’s 10, 20, 30, and seven more. If 37 out of 100 squares have been shaded orange, then the shaded area is thirty-seven hundredths. If the large square represents one whole, the fraction of the square which has been shaded is thirty-seven hundredths.

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