im trying to complete this input output table

input 0 output blank
input 3/2 output 17/6
input 11/4 output blank
input 3 output 13/3
input blank output 13/2

Input 0 output blank input 3/2 output 17/6 input 11/4 output blank input 3 output 13/3 input blank output 13/2

To complete the input-output table, we need to find the missing values. Let's start by analyzing the given values.

We have the following pairs of input and output values:
1. (0, blank)
2. (3/2, 17/6)
3. (11/4, blank)
4. (3, 13/3)
5. (blank, 13/2)

Let's break down the patterns and relationships in the table to find the missing values.

1. Analyzing the relationship between input and output:
- When the input is multiplied by 2, the output is multiplied by 3.
- For example, (3/2 * 2 = 3) and (17/6 * 3 = 13/2).

2. Applying the relationship to find the missing values:
- Since input 0 multiplied by 2 is 0, the output should be multiplied by 3. Therefore, the output for input 0 will be calculated as (blank * 3 = blank).
- Similarly, since input 11/4 multiplied by 2 is 11/2, the output should be multiplied by 3. Therefore, the output for input 11/4 will be calculated as (blank * 3 = blank).

3. Using the available values to determine the missing values:
- From the given pairs, we can see that the output for input 0 is 13/2, and the output for input 3 is 13/3. Since input 3 is multiplied by 2, we can calculate the output for input 0 as follows:
(13/3 * 2 = 26/3). So, the missing value for input 0 is 26/3.

Therefore, the completed input-output table is as follows:
- input 0 → output 26/3
- input 3/2 → output 17/6
- input 11/4 → output blank
- input 3 → output 13/3
- input blank → output 13/2