# A study found that one out of every 16 smokers develops lung cancer. ​ (a) Write the fraction as a decimal. ​ (b) Out of a group of 8000 smokers, find the number of expected to develop lung cancer.

A study found that one out of every 16 smokers develops lung cancer. ​
(a) Write the fraction as a decimal. ​
(b) Out of a group of 8000 smokers, find the number of expected to develop lung cancer.
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(a) The fraction is: $\frac{1}{16}=0.625$
(b) Multiply 8000 by the fraction: $\frac{1}{16}\cdot 8000=0.625\cdot 8000=5000$