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Q: What is one third divided by two thirds?

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Three and two thirds divided by one third = 11/1 or 11

Four and one-third divided by two and two-thirds = 13/8 or 15/8

One third.

68 and two thirds divided by four and one third = 206/13 or 1511/13

1 third. This answer is incorrect. When you use the words "divided by", that means you use the regular process of dividing by a fraction. To do this, you take the reciprocal of the fraction (1/2 here) and then multiply. The actual problem here is 2/3 TIMES 2/1. The answer is 4/3. If you want to find half of some number, you multiply by half, not divide. The wording should be "divide into half" not "divide by half." These two are completely different. This is a frightfully common misunderstanding and leads to great confusion. Another example: 8 divided into half is 4 ` but 8 divided by half is 16. (8 times the reciprocal of 1/2) Just for background: I teach high school algebra; my husband has a BSc and a MSc in both Mathematics and Math Education.

2

Eight Third

two and two thirds (22/3)

1/2

one third is one half of two thirds. 2/3 divided by 2 equals 1/3.

six and two thirds = 6.66, so 6.66 divided by 5 = 1.33 (or one and 1 third)

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