How would the UK House of Commons look under MMP?

The UK House of Commons uses the first past the post voting system. This system doesn’t proportionally represent the votes cast by the population as there is only one winner in each seat. Hypothetically if one party gained 51% of the votes in every electorate, they would hold 100% of the seats in the house.
New Zealand’s Parliament is modelled after Westminster, but in 1996 New Zealand changed from the first past the post voting system to a proportional system of representation. So how would the house look if the Kiwi’s system was used in the UK?

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Further Reading : http://www.elections.org.nz/voting-system/mmp-voting-system
CGP Grey’s Politics in the animal Kingdom: https://www.youtube.com/playlist?list=PL7679C7ACE93A5638

Music:
Americana by Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/

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