WEBVTT
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What fraction of the circle is shaded?
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a) 18 out of 25, b) 18 out of 24, c) 19 out of 25, or d) 19 out of 24.
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Remember that when we talk about fractions, we’re talking about the parts to the whole.
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And in this case, we’re talking about the shaded parts to the whole.
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We count the red-shaded parts.
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We counted six red parts and eight total parts to make up the circle.
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So we say that the fraction of the circle that’s shaded is six-eighths.
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But when we look at our answer choices, we’re not given a choice of six-eighths.
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So we need to find an equivalent fraction, a fraction that means the same thing as six-eighths.
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Let’s start with 18 25ths.
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Is six-eighths equal to 18 25ths?
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Remember, when we work with equivalent fractions, we multiply the numerator and the denominator by the same number.
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I recognised that six times three equals 18.
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Then I try to multiply eight times three.
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But that doesn’t equal 25.
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So we know that a does not work, 18 25ths.
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We can try the same process with 18 24ths.
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We need to multiply the numerator and the denominator by the same number.
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Six times three equals 18.
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And eight times three does equal 24.
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This means that 18 24ths is an equivalent fraction.
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And it accurately represents the fraction of the circle that is shaded, making 18 24ths the correct answer.