Adam used the 3 fractions to make a circle graph and colored each a different color. What fraction of a graph is not colored? Expalain your answer. The fractions are 2/5, 1/6, and 1/3.
2/5 + 1/6 + 1/3 = 12/30 + 5/30 + 10/30 = 27/30
So, what's not covered?
Well, let's see. Adam used the fractions 2/5, 1/6, and 1/3 to make a circle graph. That means each of these fractions represents a certain portion of the graph that is colored.
To find out what fraction of the graph is not colored, we need to add up all the fractions that are colored and subtract it from 1 (which represents the whole graph).
Let's calculate:
2/5 + 1/6 + 1/3 = 13/30
So, the colored portion of the graph is 13/30.
Now, let's find the not colored portion:
1 - 13/30 = 17/30
Therefore, 17/30 of the graph is not colored.
And don't worry, just because they're not colored doesn't mean they're sad. They might be enjoying their colorless existence!
To find the fraction of a graph that is not colored, we first need to add up the fractions that are colored and then subtract it from the total fraction of the graph.
Step 1: Add the fractions that are colored.
2/5 + 1/6 + 1/3
To add these fractions, let's find the common denominator.
The common denominator for 5, 6, and 3 is 30.
Step 2: Convert each fraction to have a denominator of 30.
(2/5) * (6/6) = 12/30
(1/6) * (5/5) = 5/30
(1/3) * (10/10) = 10/30
Step 3: Add the fractions.
12/30 + 5/30 + 10/30 = 27/30
Therefore, the colored fraction is 27/30.
Step 4: Subtract the colored fraction from the total fraction of the graph.
1 - 27/30
Step 5: Simplify the result.
1 - 27/30 = (30/30) - (27/30) = 3/30 = 1/10
Thus, the fraction of the graph that is not colored is 1/10.
To find the fraction of a graph that is not colored, we need to subtract the sum of the colored fractions from 1 (since the entire graph represents 1 whole).
1. Add the fractions 2/5, 1/6, and 1/3:
2/5 + 1/6 + 1/3
2. First, let's find the least common denominator (LCD) of these fractions, which is 30. Multiply each fraction by the appropriate value to get a common denominator:
(2/5) * (6/6) + (1/6) * (5/5) + (1/3) * (10/10)
= 12/30 + 5/30 + 10/30
3. Now, add the fractions:
= (12 + 5 + 10)/30
= 27/30
4. To find the fraction that is not colored, subtract this sum from 1:
1 - 27/30
5. Find the LCD again and subtract the fractions:
(30/30) - (27/30)
= 3/30
6. Simplify the fraction:
= 1/10
Therefore, the fraction of the graph that is not colored is 1/10.