To find out how far Joey is from home, we need to take into account his movements to the east and west.
- Joey first walks east for 1523 meters.
- Then, he walks west for 2134 meters.
To find the net distance from home, we can calculate the total distance he walked east minus the distance he walked west:
\[ \text{Net Distance} = \text{Distance East} - \text{Distance West} \] \[ \text{Net Distance} = 1523 - 2134 \] \[ \text{Net Distance} = -611 \text{ meters} \]
The negative sign indicates that he is 611 meters to the west of his starting point (home).
Now, to express 611 as a mixed number. Since 611 is a whole number, it can be expressed simply as:
\[ 611 = 611 \frac{0}{1} \]
Since it's a pure number, we can conclude that Joey is \(611\) meters from home.
Thus, the final answer is: \[ 611 \]