Video: Arranging Given Fractions in Ascending Order Using Visual Fraction Models

Find the fraction of each circle that is shaded. Arrange these fractions in ascending order.

02:31

Video Transcript

Find the fraction of each circle that is shaded. Arrange these fractions in ascending order.

We’re given three circles with different factions. And the first thing we have to do is work out what fraction of each circle is shaded. Let’s look at the first circle. How many equal parts does it have? One, two, three, four, five, six, seven, eight, nine. The first circle has been divided into ninths. How many ninths are shaded? There are four. The fraction of the first circle that is shaded is four-ninths.

The second circle has been divided into one, two, three, four, five, six, seven equal parts. We can call these parts sevenths. And two of the sevenths have been shaded. The third circle has been divided into six equal parts, or sixths. And five out of the six parts, or sixths, have been shaded. So, five-sixths of the circle is shaded.

And we’re asked to arrange the fractions in ascending order. This means we have to arrange the fractions in order from the fraction which is the smallest in value to the largest. An easy way to work this out would be to look at the blue part of the circle to see how much of the circle has been shaded.

The circle with the least amount shaded is two-sevenths. So, we need to write this fraction first. Next, it’s four-ninths, four over nine. The circle which has the most shaded is five-sixths. We found the fraction of each circle that is shaded and arranged the fractions in ascending order, two-sevenths, four-ninths, and five-sixths.

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