How can I resize root and home partitions on a encrypted system to give root more space?

edit

I have a Fedora 20 system. Which I installed allot of software on the last few months and I need to resize the / (root) partition to give it more space. The drive is encrypted with LUKS. Gparted doesn't support LUKS so I can't use that.

How can this be done?

Here is:
    ]# df -h
    Filesystem                       Size  Used Avail Use% Mounted on
    /dev/dm-3                         50G   46G  874M  99% /
    devtmpfs                         1.9G     0  1.9G   0% /dev
    tmpfs                            1.9G  3.0M  1.9G   1% /dev/shm
    tmpfs                            1.9G  944K  1.9G   1% /run
    tmpfs                            1.9G     0  1.9G   0% /sys/fs/cgroup
    tmpfs                            1.9G   59M  1.9G   4% /tmp
    /dev/sda2                        477M  131M  317M  30% /boot
    /dev/sda1                        200M  9.6M  191M   5% /boot/efi
    /dev/mapper/fedora_hostname-home  405G  202G  183G  53% /home

Here is:

~]$ df -i
Filesystem                        Inodes   IUsed    IFree IUse% Mounted on
/dev/dm-3                        3276800 1772040  1504760   55% /
devtmpfs                          488149     468   487681    1% /dev
tmpfs                             490792       7   490785    1% /dev/shm
tmpfs                             490792     659   490133    1% /run
tmpfs                             490792      13   490779    1% /sys/fs/cgroup
tmpfs                             490792      55   490737    1% /tmp
/dev/sda2                         128016      80   127936    1% /boot
/dev/sda1                              0       0        0     - /boot/efi
/dev/mapper/fedora_hostname-home 26959872  182663 26777209    1% /home

Here is:

]$ sudo fdisk -l

Disk /dev/sda: 465.8 GiB, 500107862016 bytes, 976773168 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes
I/O size (minimum/optimal): 4096 bytes / 4096 bytes
Disklabel type: gpt
Disk identifier: 7AE6E531-9898-4C7C-8C35-41B4FDB9374A

Device           Start          End   Size Type
/dev/sda1         2048       411647   200M EFI System
/dev/sda2       411648      1435647   500M Microsoft basic data
/dev/sda3      1435648    976773119 465.1G Microsoft basic data


Disk /dev/mapper/luks-e69b0b4c-a8e0-425f-988d-8c635729503b: 465.1 GiB, 499370688512 bytes, 975333376 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes
I/O size (minimum/optimal): 4096 bytes / 4096 bytes

Disk /dev/mapper/fedora_hostname-swap: 3.8 GiB, 4043309056 bytes, 7897088 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes
I/O size (minimum/optimal): 4096 bytes / 4096 bytes

Disk /dev/mapper/fedora_hostname-root: 50 GiB, 53687091200 bytes, 104857600 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes
I/O size (minimum/optimal): 4096 bytes / 4096 bytes

Disk /dev/mapper/luks-b7af1bce-82c4-4921-aac1-bce701e30256: 50 GiB, 53684994048 bytes, 104853504 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes
I/O size (minimum/optimal): 4096 bytes / 4096 bytes

Disk /dev/mapper/fedora_hostname-home: 411.3 GiB, 441639239680 bytes, 862576640 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes
I/O size (minimum/optimal): 4096 bytes / 4096 bytes

Here is:

~]$ sudo lvdisplay
  --- Logical volume ---
  LV Path                /dev/fedora_hostname/swap
  LV Name                swap
  VG Name                fedora_hostname
  LV UUID                qQQRVR-toXX-J0M7-lTH5-d8Lr-AUq3-EHJ6A4
  LV Write Access        read/write
  LV Creation host, time hostname.lan, 2014-03-24 15:51:10 +0000
  LV Status              available
  # open                 2
  LV Size                3 ...