Answer:
[tex]\frac{19}{180}[/tex] ≈ 0.1056
Step-by-step explanation:
From the information provided we know that:
[tex]\frac{4}{9}[/tex] of beads are silver
[tex]\frac{1}{5}[/tex] of beads are gold
[tex]\frac{1}{4}[/tex] beds are blue.
The rest are red.
To solve this problem in an easier way we can make the sum all the fractions. In this way we have to:
[tex]\frac{4}{9} + \frac{1}{5} + \frac{1}{4} = \frac{161}{180}[/tex]
We know that the rest are red beads
To calculate this fraction we perform the following operation.
[tex]1-(\frac{4}{9} + \frac{1}{5} + \frac{1}{4}) =\ red[/tex]
[tex]1- (\frac{161}{180}) = \frac{19}{180}[/tex]
The expression that gives the best estimate of the fraction of red beads that Julia has is:
[tex]1-(\frac{4}{9} + \frac{1}{5} + \frac{1}{4}) = \frac{19}{180}[/tex]
