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Two and one-third plus five-sixths equals what?
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The question is asking us to add together two different types of number: a mixed number and a fraction.
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We can partition two and one-third into its two parts: the whole number which is two and the fraction which is a third.
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So we’re adding two plus a third plus five-sixths.
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We could add together the two fractions first: one-third plus five-sixths.
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These two fractions have different denominators.
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We’re being asked to add together thirds and sixths.
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So before we can add these fractions, we need to find a common denominator.
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We know that six is a multiple of three.
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Three multiplied by two is six.
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So we need to find out how many sixths are equivalent to one-third?
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We’ve multiplied the denominator three by two.
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So we need to do the same to the number on top, the numerator.
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And one times two is two.
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So one-third is equal to two-sixths.
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So now, we can add together two and two-sixths and five-sixths.
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Two-sixths plus five-sixths equals seven-sixths.
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Seven-sixths is an improper fraction.
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The numerator or the number on top is larger than the denominator or the number on the bottom.
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Seven-sixths is the same as one whole and one-sixth.
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So the final step of the calculation is to add together the two from earlier plus one and one-sixth.
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Two plus one is three plus the sixth equals three and one-sixth.
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Two and one-third plus five-sixths equals three and one-sixth.
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Three and one-sixth is equal to nineteen sixths.
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Either of these answers is correct.
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Two and one-third plus five-sixths equals three and one-sixth or nineteen sixths.