Adam used 3/12, 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.
1/6 = 2/12
1/3 = 4/12
2/12 + 4/12 + 3/12 = 9/12 = 3/4
4/4 - 3/4 = ?
To find out what fraction of the graph is not colored, we need to add up the fractions Adam used to make the circle graph and subtract that sum from 1. Here's how you can calculate it step by step:
Step 1: Add up the fractions Adam used:
3/12 + 1/6 + 1/3
To add fractions with different denominators, we need to first find a common denominator. In this case, the least common multiple (LCM) of 12, 6, and 3 is 12. Now, let's convert the fractions to have a denominator of 12:
3/12 + 2/12 + 4/12
Step 2: Add the numerators together while keeping the common denominator:
(3 + 2 + 4) / 12
Step 3: Simplify the numerator:
9/12
Now we have the sum of the fractions Adam used, which is 9/12.
Step 4: Calculate the fraction of the graph that is not colored:
1 - 9/12
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 12, so we can write 1 as 12/12:
12/12 - 9/12
Step 5: Subtract the numerators:
(12 - 9)/12
Step 6: Simplify the numerator:
3/12
Now we have the fraction of the graph that is not colored, which is 3/12.
Therefore, the fraction of the graph that is not colored is 3/12.