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Well, firstly, the LCM (Lowest Common Multiple) of 3 and 7 is 21. Try to convert those fractions into fractions with denominators of 21. Multiply 3x7 in one thirds and 1x7, which changes one third to seven twenty-oneths. Multiply 7x3 in two sevenths and 2x3, which changes two sevenths to six twenty-oneths. Therefore, one third (seven twenty-oneths) is greater than two sevenths (six twenty-oneths).

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One third

Q: What is larger one third or two sevenths?

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2/21

Nine sevenths, or one and two sevenths.

Convert both to fifteenths (3x5). One third is 5/15 and two fifths is 6/15, so two fifths is larger.

4 sevenths just over half

The sum of 1/3 and 2/7 is 13/21

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