Smita can finish a work in 12 days and Sam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?
Smita's 1 days work =Â $$\frac{1}{12}$$
Sam's 1 days work =Â $$\frac{1}{9}$$
Both's 1 days work =Â $$\frac{1}{12}+\frac{1}{9}=\frac{7}{36}$$
Both's 4 days work =Â $$4\times\ \frac{7}{36}=\frac{7}{9}$$
Remaining work =Â $$1-\frac{7}{9}=\frac{2}{9}$$
So, required fraction of work unfinished =Â $$\frac{2}{9}$$
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