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Matthew is six and nine twentieths feet tall.
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Express his height as an improper fraction.
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First, we need to remember what an improper fraction is.
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In a fraction, we know that the numerator is the number on top and the denominator is a number on the bottom.
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In an improper fraction, there is a larger numerator than the denominator.
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Matthew’s height is given to us with a whole number and a fraction.
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In the fractional piece, nine, the numerator, is smaller than 20, which is the denominator.
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Nine over 20 is not an improper fraction.
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In order to make an improper fraction, we’ll need to turn this whole number six into a fraction and add that value to the nine twentieths.
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So how do we do that?
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We want to turn the whole number six into a fraction and then add that to nine twentieths.
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That means that the fraction that we turn six into must have a denominator of 20.
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We must have something that’s equal to six with a denominator of 20.
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To do that, imagine that the whole number six has a denominator of one, and we multiply one times 20 to get a denominator of 20.
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If we multiply something on the bottom of a fraction, we need to multiply something on the top of our fraction.
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So we multiply our numerator six by 20.
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Six times 20 equals 120.
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To write the whole number six as a fraction out of 20, you write 120 over 20.
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And that is equal to six.
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Our next step is to add this value to the nine twentieths we already had.
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120 over 20 plus nine over 20 equals 129 over 20.
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Six and nine twentieths represented as an improper fraction looks like this: 129 over 20.
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Matthew is one hundred and twenty-nine twentieths feet tall.