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Christi, Joey, and Lisa have 2 1/3, 3 1/2, and 6 5/6 dozen cookies, respectively. How many dozens do they have combined?

User Cavalcade
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1 Answer

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Answer: 12 2/3 dozens.

Explanation: First we can add the whole numbers together. 2+3+6= 11.

Then, we can change the fractions (1/3, 1/2, and 5/6) so that they all have a common denominator. The largest denominator is 6, which is a multiple of both 3 and 2, so that is a good denominator to choose for all the fractions. To do this, we can start with adding 1/3 to 5/6.

We set up the equation 1/3 + 5/6. For 3 to become 6, it has to be multiplied by 2.

This creates 2(1/3) + 5/6. Multiplying 2 by both the numerator and denominator gives us the equation 2/6 +5/6. We can then add, which equals 7/6.

We can then add 1/2 to 7/6.

We set up the equation the same, 1/2 + 7/6. For 2 to equal 6, it has to be multiplied by 3.

This creates 3(1/2) + 7/6. Multiplying by the numerator and denominator, this gives us a 3/6 +7/6, = 10/6.

To simplify this, we know that 6 goes into 10 one time, so we can subtract 6 from 10. We then have a whole one (1) and 4/6 leftover (1 4/6.) Simplifying 4/6, we divide both by 2, giving us 2/3, in addition to 1.

1 2/3 + 11 = 12 2/3 dozens.

User Mstruebing
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