Ms groves had trays of paint each tray has five colors one of the colors is purple.what fraction of the colors in 20 trays is purple

Verified Answer :

The correct answer is:
\(\frac{4}{20} = \frac{1}{5}\).

Explanation:
Since 1 out of 5 trays are purple, this means the fraction is 
\(\frac{1}{5}\).
However, to find the number of trays out of 20, we multiply 20 by 
\(\frac{1}{5}\):
 20*\(\frac{1}{5}\)=\(\frac{20}{1} * \frac{1}{5} = \frac{20}{5} = 4\).

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

Given : Ms groves had trays of paint each tray has five colors one of the colors is purple

To Find:. What fraction of the colors in 20 trays is purple

Solution:

Since each tray contains 5 colors

So, 20 tray contains no. of colors =  205

                                                          =100

Now we are also given that 1 out of five color is purple

So, each tray contain no. of purple color = 1

So, 20 tray contains purple color = 201 = 20

So, the fraction of the colors in 20 trays is purple :

\(=\frac{\text{No. of purple colors in 20 trays}}{\text{Total No. of colors in 20 trays}}\)

\(=\frac{20}{100}\)

\(=\frac{1}{5}\)

Thus the \(\frac{1}{5}\) fraction of the colors in 20 trays is purple