lead waste pipe in my kitchen broken?

john this a waste pipe not a water feed pipe. lol
you'll need to rip it out and fit complete new waste as the can't get a fitting lead to plastic waste.

hi-spec plumbing & heating
July 2008

There certainly is - the fitting you need is called a 'Leadlok' and they are available from Screwfix direct - and maybe B&Q or other plumbing specialists. They work perfectly well, are easy to fit, so long as the access to the lead pipe (which needs to be straight) is good. Fitting one really depends on your confidence - and naturally the water needs to be turned off outside your house. Water boards do this for free - but charge £50 to turn it back on.....which you can also do yourself with the correct key.

John
July 2008