Question

A) Describe the mixed numbers that come between 1 and 2 on the number line. B) Write a mixed number that comes between 1 and 2 on the number line.

Answer 1

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.



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:



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.