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To convert a fraction to lowest terms, we must divide the numerator (the top number) and the denominator (the bottom number) by a common number until we can't reduce it any more. A method for doing this is to factor the numerator and denominator by their common factors.
So let's factor 711 and 22.
1 x 711
9 x 79
3 x 3 x 79
I don't think I can factor 79. We should check the numbers from 2 up to the square root of 79, or approximately 9.
Factoring 22,
1 x 22
2 x 11
Unfortunately, none of the factors of 711 are common with the factors of 22, so it is already in its lowest terms, and cannot be reduced.
(4 1/3) / (1 2/3) = (make the two numbers proper fractions) (13 / 3) / (5 / 3) = (the "/ 3" on the left and right cancel out each others) 13 / 5 = (go to lowest term) 2 3/5
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