Question

A department store has a discount box of cell phone cases. In the box are 10 leather cases, 12 protective plastic cases, and 6 fabric cases. If a customer randomly selects a case, what is the probability that it is a fabric case? Enter your answer as a fraction, in simplified form, in the box.

Answer 1

28 cell phone cases in all. 
6 of the 28 cases are fabric. 

6/28 simplified to 3/14 

So the answer to your question would be 3/14

Hope this helps! :) 

Answer 2

Let me help assist you.
This question is asking for, in simplified form, the fraction that the customer will select the fabric case. We will start by making the fraction.
First, let's add the total number of cases.
10 + 12 + 6 = 28.
There is 28 cases in all. Let's subtract the number of fabric cases.
28 - 6 = 22.
With this information, we can make the fraction, which is 6/28.
The question asks for simplest form, however. Now that we have the fraction, we can proceed to this step.
We have to find the GCD of the numerator and denominator, which is 2.
Now, we have to divide both 6 and 28 by the GCD (2).
6 ÷ 2 = 3
28 ÷ 2 = 14
The simplest form of 6/28 is 3/14.

Hope this answers your question correctly.