For 2 years, I was seconded to work as a benefits adviser. In my first year alone, I achieved gains of over £1m in unclaimed or wrongly refused benefits. I dealt with around 30-40 clients a month, in a county with a population of only about 450,000. Try extrapolating that over the entire adult population of the UK to get an idea of the vast amount that goes unclaimed.
Benefit fraud OTOH, is very small, even by the government's own estimates.
www.gov.uk/government/statistics/fraud-and-error-in-the-benefit-system-financial-year-201516-estimates
Benefit bashers are quick to make judgments about how claimants spend their money, too, without really thinking about how limited their choices are. The tv that the DM readers think claimants shouldn't have is possibly their only entertainment and works out pretty cheap over a year compared to meals out, trips to the cinema, theatre etc. The expensive mobile phone contract quite possibly works out cheaper than landline rental and internet subscription plus cheap mobile, and for many people on benefits internet access is essential if they are to comply with the DWPs jobseeking agreement. A lot of government services are online only nowadays.
The gripers who moan about people on tax credits not increasing their working hours also don't realise that if you're on WTC and housing benefit, you lose around 80% of every extra £ you earn in lost WTC, HB, tax and NI. Who in their right mind would work 10 extra hours just to be £15 better off?
Imo, the 5 things that would give people more incentive to work and increase hours would be:
affordable childcare
rent controls on private tenancies
reduce the taper rates for housing benefit and working tax credit
restoration of council tax benefit
big increase in minimum wage