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in this example were going to use fraction circles to represent both improper fractions and mixed numbers notice in the directions it says that one circle is the unit so this is equivalent to one so we have four circles here not all of them are completely shaded but we can see that this is not our unit is not all four circles our unit is one circle so first it says determine the improper fraction that represents the shaded portion of the circles so lets see how we can do this so first lets think theyre broken into some amount of pieces lets see how many pieces theyre broken into because the number of pieces one unit is broken into is our denominator so theres one two three four five six seven eight pieces per circle and theyre equal 8 equal pieces per circle which is our unit so now how many of those pieces are shaded well here we have a total of 8 shaded heres another 8 lets write this we have 8 8 here 8 and here theres two shaded so we have a total of 8 times 3 which is 2