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What fractions are marked on the number line?
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Remember that when we’re talking about fractions, we’re talking about a part to the whole.
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On this number line, all three of our points are falling between 12 and 13.
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Let’s start with the point furthest to the left.
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To figure out the fractional piece, we’ll need to know how many lines fall between 12 and 13.
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The point we’re looking at is on the third line, out of a total of 10 lines.
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But because it falls between 12 and 13, it’s not just three-tenths.
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We would call this fraction 12 and three-tenths.
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From there, we move on to our second point, which falls on the sixth line out of 10.
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Six-tenths works as a fraction, but it’s not reduced all the way.
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What we want to do here is divide the numerator and the denominator by two.
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This gives us three-fifths.
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We reduce six-tenths to three-fifths and then we remember that it falls between 12 and 13.
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So we can’t leave out our whole number.
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The second point falls on 12 and three-fifths.
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Our final missing piece falls on the ninth mark.
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That would be nine out of 10 spaces falling between the 12 and 13.
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The whole number piece would be 12 and nine-tenths, 12 and nine tenths.
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Our three fractions are then 12 and three-tenths, 12 and three-fifths, 12 and nine-tenths.