jamie wants to be able to find the simplest form for any fraction by using the division rule and dividing only once . what should she do

Find the greatest common factor.

http://www.mathsisfun.com/simplifying-fractions.html

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To find the simplest form of a fraction using the division rule, Jamie can follow these steps:

1. Start by dividing the numerator (the number on the top) by the denominator (the number on the bottom).
2. Simplify the fraction by canceling out any common factors between the numerator and the denominator.
3. Repeat the division process if there are still common factors that can be canceled out.
4. Keep dividing until there are no more common factors between the numerator and the denominator.

For example, let's say Jamie wants to simplify the fraction 12/20:

1. Divide 12 by 20: 12 ÷ 20 = 0.6
2. Both 12 and 20 can be divided by 4: 12 ÷ 4 = 3 and 20 ÷ 4 = 5
3. The simplified fraction is now 3/5.

It's important to note that not all fractions can be simplified further using the division rule. If there are no common factors between the numerator and the denominator, then the fraction is already in its simplest form.