Final answer:
To find the fraction of a pie chart that is not colored, add up the fractions representing the colored portions and subtract this sum from 1, which represents the whole. If the given fractions do not sum to 1, the difference is the uncolored portion.
Step-by-step explanation:
Understanding Pie Graphs and Fractions
When constructing a circle graph or pie chart, each slice represents a portion of the whole circle. The fractions of the graph colored by Adam represent portions of the circle that have already been accounted for. To determine the fraction of the graph that is not colored, one must add up the fractions representing the colored portions and subtract this sum from the whole, which is 1 (or 100%). If the three fractions Adam used sum up to less than 1 when added together, the remainder will represent the fraction of the graph that is not colored. For example, if Adam colored ½, ¼, and ±8 of the circle, the colored portion would be (1/2) + (1/4) + (1/8) = 4/8 + 2/8 + 1/8 = 7/8. Therefore, the uncolored portion would be 1 - 7/8 = 1/8. Without the specific fractions Adam used, we cannot determine the exact fraction that remains uncolored.
However, if we discovered the fractions did not sum up to 1, for instance, they added up to 3/4 only, then the fraction of the graph that is not colored would be 1 - 3/4 = 1/4. In the case where the fractions exceed 1, it would indicate an error because the proportions of a pie chart must always sum to the whole.