Video: KS2-M16S • Paper 2 • Question 4

Here are some shapes made of squares. A fraction of each shape is shaded. Match each shape to its equivalent fraction. One has been done for you.

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Video Transcript

Here are some shapes made of squares. A fraction of each shape is shaded. Match each shape to its equivalent fraction. One has been done for you.

Each of the rectangles have been divided into 10 squares or tenths. Then part of the rectangle has been shaded. If we look closely at the fractions that we need to match with each shape, we can see that they’re not all tenths. This is the only fraction which is tenths, three tenths. This is the shape which shows three tenths. Three out of its 10 squares has been shaded.

We’re also looking for a shape which has half of its squares shaded. We know that a half is equal to five tenths. Which of these shapes has five out of 10 squares shaded? It’s the bottom shape. Now, we’re looking for a shape that has three-fifths of its squares shaded. How many tenths are equal to three-fifths?

To change fifths to tenths, we need to multiply the denominator which is five by two. So we have to do the same to the numerator: multiply three by two which is six. Three-fifths is equal to six tenths. And this is the shape that has six out of 10 squares shaded or six tenths.

Now, we have to find is the shape which shows four-fifths. Four-fifths is equal to eight tenths. And the first shape has eight out of 10 squares shaded or eight tenths.

Now, we’ve matched each shape to its equivalent fraction. The first one had been done for us. It was easy to find three tenths. We just look for a shape where three out of 10 squares had been shaded. The other three fractions we’re not given as tenths. So we changed three-fifths to six tenths. We knew a half was equivalent to five tenths and four-fifths is equal to eight tenths. Once we found the equivalent fractions, we were able to match them to the correct shape.

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