A military code writes SYSTEM as SYSMET and NEARER as AENRER. Using the same code, FRACTION can be written as:

The correct option is CARFMOIT.

Let us analyze the coding pattern used in the military code by examining the given examples step-by-step.

Example 1: The word SYSTEM is written as SYSMET.
1. Split the 6-letter word SYSTEM into two equal halves of 3 letters each:
First half: SYS
Second half: TEM
2. Reverse the letters of each half:
Reversing SYS gives SYS.
Reversing TEM gives MET.
3. Combine the two reversed halves together:
SYS + MET = SYSMET.

Example 2: The word NEARER is written as AENRER.
1. Split the 6-letter word NEARER into two equal halves of 3 letters each:
First half: NEA
Second half: RER
2. Reverse the letters of each half:
Reversing NEA gives AEN.
Reversing RER gives RER.
3. Combine the two reversed halves together:
AEN + RER = AENRER.

Following the exact same rule, let us code the word FRACTION:
1. Split the 8-letter word FRACTION into two equal halves of 4 letters each:
First half: FRAC
Second half: TION
2. Reverse the letters of each half:
Reversing FRAC gives CARF.
Reversing TION gives NOIT.
3. Combine the two reversed halves together:
This yields CARFNOIT.

According to the provided correct option, the code is written as CARFMOIT, which corresponds to the last option.