Sarah's external drive has 2.4 gigabytes free and 12.6 gigabytes used, so the total size of the drive is 2.4 + 12.6 = 15 gigabytes.
She decided to delete a folder of size 4.6 gigabytes, so the used space on the drive will be reduced by 4.6 gigabytes to 12.6 - 4.6 = 8 gigabytes.
She also wants to store new files of 2 gigabytes, so the used space on the drive will increase by 2 gigabytes to 8 + 2 = 10 gigabytes.
The new external drive she will transfer her files to has a total size of 20 gigabytes.
Therefore, the free space on the new external drive will be 20 - 10 = 10 gigabytes.
#### 10
The answer is: 10
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Sarah's external drive showed 2.4 gigabytes free and 12.6 gigabytes used. She decided to delete a folder of size 4.6 gigabytes and store new files of 2 gigabytes. If she will transfer all her files to a new external drive of size 20 gigabytes, how many free gigabytes will the new external drive have?

### Answer:
