## MIXED FRACTIONS INSTRUCTIONS |

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.

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:

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: