Adam used the three fractions to make a circle graph and colored each a different color. What fraction of the graph is not colored?
wouldn't this depend on what the fractions were?
1/5
To find the fraction of the graph that is not colored, we need to first determine the sum of the fractions that are colored. Once we have this sum, we can subtract it from 1 to find the fraction that is not colored.
Let's assume Adam used fractions \( \frac{a}{b} \), \( \frac{c}{d} \), and \( \frac{e}{f} \) to color the graph.
To find the sum of the colored fractions, we need to find the common denominator for \( b \), \( d \), and \( f \).
The common denominator can be obtained by finding the least common multiple (LCM) of \( b \), \( d \), and \( f \). Once we have the LCM, we can use it as the common denominator.
Once we have the common denominator, we can convert each fraction to have that denominator and add them together. Let's call the sum of the fractions \( \frac{g}{h} \).
The fraction that is not colored can be found by subtracting the sum of the colored fractions from 1. Let's call this fraction \( \frac{i}{j} \).
So, to summarize:
1. Find the common denominator by calculating the least common multiple (LCM) of \( b \), \( d \), and \( f \).
2. Convert each fraction to have the common denominator.
3. Add the fractions together to find the sum of the colored fractions, \( \frac{g}{h} \).
4. Subtract \( \frac{g}{h} \) from 1 to find the fraction that is not colored, \( \frac{i}{j} \).