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MIXED FRACTIONS INSTRUCTIONS

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

The illustration below was made by Identify Mixed Numbers Designer.

The number line model shows the fraction 26/9.  You are to write the fraction in mixed number form with a whole number, numerator, and denominator.

The whole numbers in the illustration are 0, 1, 2, and 3. Because the arrow is to the right of 2, you will enter 2 for the whole number. The numerator is 8 because the arrow points to the 8th of the 9 parts between 2 and 3. The denominator is 9 because there are 9 parts between 2 and 3.

Mixed Fraction Image

Other methods can be used to arrive at the answer. One method is to see how many units of 9/9 there are in the fraction 26/9. In this case there are 2 groups of 9/9 in 26/9 giving a whole number 2. After 2 units of 9/9 there are 8 more parts, giving a numerator of 8. The denominator is 9 because there are 9 equal parts between 2 and 3.  This method can be seen by the picture and by the illustrated below:

Mixed Numbers Example

Another method is to divide the numerator by the denominator. The denominator divides twice into the numerator with a remainder of 8, giving a whole number of 2, a numerator of 8, and a denominator of 9. This method is illustrated below.

By Division