Steps taken according to Gilles' answer:

$ sudo fdisk /dev/sda

Welcome to fdisk (util-linux 2.27.1).
Changes will remain in memory only, until you decide to write them.
Be careful before using the write command.


Command (m for help): p
Disk /dev/sda: 9.8 GiB, 10485760000 bytes, 20480000 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 512 bytes
I/O size (minimum/optimal): 512 bytes / 512 bytes
Disklabel type: dos
Disk identifier: 0x0cd7105f

Device     Boot   Start      End  Sectors  Size Id Type
/dev/sda1  *       2048   999423   997376  487M 83 Linux
/dev/sda2       1001470 16775167 15773698  7.5G  5 Extended
/dev/sda5       1001472 16775167 15773696  7.5G 83 Linux

Command (m for help): d
Partition number (1,2,5, default 5): 2

Partition 2 has been deleted.

Command (m for help): n
Partition type
   p   primary (1 primary, 0 extended, 3 free)
   e   extended (container for logical partitions)
Select (default p): e
Partition number (2-4, default 2):
First sector (999424-20479999, default 999424): 1001470
Last sector, +sectors or +size{K,M,G,T,P} (1001470-20479999, default 20479999):

Created a new partition 2 of type 'Extended' and of size 9.3 GiB.

Command (m for help): n
All space for primary partitions is in use.
Adding logical partition 5
First sector (1003518-20479999, default 1003520):
Last sector, +sectors or +size{K,M,G,T,P} (1003520-20479999, default 20479999):

Created a new partition 5 of type 'Linux' and of size 9.3 GiB.

Command (m for help): x


Expert command (m for help): b
Partition number (1,2,5, default 5):
New beginning of data (1001471-20479999, default 1003520): 1001472

Expert command (m for help): p

Disk /dev/sda: 9.8 GiB, 10485760000 bytes, 20480000 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 512 bytes
I/O size (minimum/optimal): 512 bytes / 512 bytes
Disklabel type: dos
Disk identifier: 0x0cd7105f

Device     Boot   Start      End  Sectors Id Type    Start-C/H/S  End-C/H/S Attrs
/dev/sda1  *       2048   999423   997376 83 Linux       0/33/32   62/55/53    80
/dev/sda2       1001470 20479999 19478530  5 Extende    62/23/86 250/23/209
/dev/sda5       1001472 20479999 19478528 83 Linux     62/57/118 250/23/209

Then r(return to main menu) and w (write table to disk).