WEBVTT
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What fraction is shaded?
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Here, we have a shape.
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This is a regular hexagon.
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It has been divided into equal parts.
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And we know that a fraction is made up of a numerator, which is our top number, and the denominator, which is the bottom number.
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If we think about the denominator to begin with, the denominator shows us how many equal parts our whole amount has been split into.
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Let’s count the number of equal parts that this hexagon has been split into: one, two, three, four, five, six equal parts.
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And so, the denominator in our fraction is six.
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We can describe the shaded amount as a number of sixths.
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But how many sixths?
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The numerator or the top number in our fraction shows us the number of parts that we’re talking about.
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And in this instant, we’re talking about the shaded parts.
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And there are one, two, three shaded parts, three out of six.
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And so, our numerator is going to be the number three.
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Three-sixths of the shape is shaded.
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Now, if we gave the answer three-sixths, this would be correct.
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But we can actually simplify this fraction.
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We can look for an equivalent fraction that has the same value as three-sixths, but it’s simpler.
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To find our equivalent fraction to simplify three-sixths, we need to think of a number that we can divide both three and six by.
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Which number is that?
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Well, apart from the number one, there’s only one of the number that the numbers three and six both have in common.
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They both have three as a factor.
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We can divide both numbers by three.
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So let’s do that.
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Three divided by three equals one and six divided by three equals two.
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Three-sixths is equivalent to one-half.
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And so, we can say one-half of the shape is shaded.
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Just to prove that the two fractions are equivalent, here is one-half and here is three-sixths.
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The shaded part is the same size.
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To find the answer, we first counted the number of parts and then the number of those parts that were shaded to give a fraction three-sixths.
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We then simplified the fraction by dividing both the numerator and the denominator by a factor that they had in common.
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And by doing this, we found an equivalent fraction.
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The fraction of our hexagon that’s shaded is one-half.