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txmedteach eNotes educator| Certified Educator

You could go a couple of ways doing this. The first would be the remainder method.

Start by seeing how many times 67 goes into 79 as a whole number. Clearly we only get 1. However, we are left with a remainder such that:

`67*1 + R = 79`

So, our remainder will be the difference between 79 and 67: 12

So, our quotient will be `67 R12` .

Another way is do to it via the fraction method. Here, we don't want any non-numerical terms in the quotient. We want it so the following is true:

`67*Q = 79`

Well, the fraction will have a whole component and a fraction component. The whole component will be the same whole number we found with the remainder method: 1. The fraction component is simply the remainder over 79. We get the following as our answer:

`Q = 1 12/79`

You might be worried about reducing the fraction, but it is not a concern here because both 67 and 79 are prime.

Finally, we have the decimal method. This one is important for approximations and a lot of real-world applications. In this method, we treat 79 as 79.0, 79.00, etc to the precision desired. We then divide 67 into it using the same sort of division you would do for 790 or 7900, just ensuring you place the decimal point the same number of spaces away from the right as the number of zeros you added. Let's use 79.00 as the example:

`7900-: 67 = 117`

This is interesting because the remainder left afterward is fairly large relative to 67: 61. Because it is more than half of 67, we'll add 1 to the last spot to give us less rounding error:

`7900 -: 67 = 118`

Now, we need to add our decimal. Remember, since we added 2 zeros to 79 to get 79.00, we'll need to place the decimal two spaces from the right, giving us our final answer:


aishukul | Student

To find the answer to 79÷67, you can convert the numbers into fractions, and take the opposite reciprocal of the second number which is 67. 

`79/1 * 1/67=`



You can round this to 1.8. This is the final answer.

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