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## Main Question or Discussion Point

I need some help with this fraction problem. 8 5/6 - 1 1/3 you Need to rewrite the problem as 8 5/6 - 1 2/3 where did the two come from ?

- Thread starter jim1174
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I need some help with this fraction problem. 8 5/6 - 1 1/3 you Need to rewrite the problem as 8 5/6 - 1 2/3 where did the two come from ?

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Stephen Tashi

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Can you show the whole text of this problem and supposed solution?

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- #4

Mark44

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The expression isThe problem is 8 5/6 - 1 1/3 the answer is 8 5/6 - 1 2/3 answer 7 1/2

Since the answer is 7 1/2, the problem must have been 8 5/6 - 1 1/3. The only explanation for 8 5/6 - 1 2/3 is that it's a typo.

Edit: Jim, I didn't notice that you revised what you wrote in your later post. 1 1/3 is the same as 1 2/6.

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Stephen Tashi

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They changed 1/3 to 2/6 by multiplying the top and bottom of the fraction 1/3 by the number 2.

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NascentOxygen

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You can multiply the top of a fraction by any number so long as you multiply the bottom of that fraction by the same AND THIS DOESN'T CHANGE THE VALUE of that fraction.

So 1/3 is equivalent to 2/6 in all regards.

QUESTION: Would you prefer 1 slice of a pie after the pie was cut up into 3 equal pieces, or

would you prefer 2 slices of the same pie after it had been cut into 6 pieces?

ANS: there is no difference!

The decision to convert the denominator into a 6 was so that it matched the denominator of the first fraction in the problem.

So 1/3 is equivalent to 2/6 in all regards.

QUESTION: Would you prefer 1 slice of a pie after the pie was cut up into 3 equal pieces, or

would you prefer 2 slices of the same pie after it had been cut into 6 pieces?

ANS: there is no difference!

The decision to convert the denominator into a 6 was so that it matched the denominator of the first fraction in the problem.

Last edited:

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DrClaude

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$$

\frac{1}{3} = \frac{1}{3} \times 1 = \frac{1}{3} \times \frac{2}{2} = \frac{2}{6}

$$

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