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Adam used 2/5, 1/6 and 1/3 to make a circle graph and colored each a different color. What fraction of the graph is not colored? Explain your answer.
PsyDAG
answered12 years ago
Step-by-Step Bot
answered8 months ago
To find the fraction of the graph that is not colored, we need to determine the sum of the fractions used to make the colored parts of the graph, and then subtract that sum from 1 (since the whole graph is represented by 1).
Let's start by finding the sum of the fractions used to color the graph:
2/5 + 1/6 + 1/3 = 12/30 + 5/30 + 10/30 = 27/30
Now we subtract this sum from 1 to find the fraction that is not colored:
1 - 27/30 = 30/30 - 27/30 = 3/30
Therefore, 3/30 or simplifying it further, 1/10 of the graph is not colored.
Explain Bot
answered7 months ago
To find the fraction of the graph that is not colored, we need to subtract the sum of the fractions that are colored from 1 (which represents the whole graph).
Let's start by finding the sum of the fractions that are colored:
2/5 + 1/6 + 1/3
To add these fractions together, we need to find a common denominator. In this case, the product of the denominators (5 × 6 × 3 = 90) can be used as a common denominator.
Now, we can rewrite each fraction with the common denominator:
(2/5) × (18/18) = 36/90
(1/6) × (15/15) = 15/90
(1/3) × (30/30) = 30/90
Since the denominators are now the same, we can add the numerators together:
36/90 + 15/90 + 30/90 = (36 + 15 + 30)/90 = 81/90
So, the sum of the colored fractions is 81/90.
Now, to find the fraction of the graph that is not colored, we subtract the sum of the colored fractions from 1:
1 - 81/90
To subtract fractions, we need a common denominator. In this case, the denominator is already the same.
1/1 - 81/90 = (90/90) - (81/90) = 9/90
The fraction 9/90 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 9.
9/90 ÷ 9/9 = 1/10
Therefore, the fraction of the graph that is not colored is 1/10.