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MIXED FRACTIONS INSTRUCTIONS

Identify Mixed Numbers uses circle models to demonstrate the meaning of whole number, numerator and denominator.

The illustration below was by Identify Mixed Numbers with Circles Designer.

The circles show the fraction 23/6. You are to write the fraction in mixed number form with a whole number, numerator, and denominator.

Each whole numbers is represented by a complete filled-in circle. Enter 3 for the whole number because there are three filled circles. The numerator is 5 because there are 5 filled-in parts in the partial circle. The denominator is 6 because there are 6 equal parts in the partial circle.

Mixed Numbers with Circles

Other methods can be used to arrive at the answer. One method is to see how many units of 6/6 there are in the fraction 23/6. In this case there are 3 groups of 6/6 in 23/6, giving a whole number 3. After 3 units of 6/6 there are 5 more parts, giving a numerator of 5. The denominator is 6 because there are 6 equal parts in a complete circle.  This method can be seen by the picture and by the illustrated below:

Mixed Numbers Example 1

The other method is to divide the numerator by the denominator. The quotient is three with a remainder of 5, giving a whole number of 3, a numerator of 5, and a denominator of 6. This method is illustrated below:

Mixed Numbers Example 2