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First, convert to an improper fraction
3 & 1/4 = 3 + (1/4)
3 & 1/4 = (12/4) + (1/4)
3 & 1/4 = 13/4
The mixed number 3&1/4 turns into the improper fraction 13/4
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-2/9 divided by (3&1/4) = -2/9 divided by 13/4
To divide two fractions, you flip the second one and then you multiply
"-2/9 divided by 13/4" turns into "-2/9 times 4/13" after this happens
Then you multiply straight across. The numerators stick together. The denominators stick together.
numerators: -2*4 = -8
denominators: 9*13 = 117
We end up with the fraction -8/117
This cannot be reduced as there are no common factors (other than 1) between 8 and 117.
