The fraction 11/12 is converted to the decimal 0.916666, which can be rounded to 0.9167. Students can find the answer either by performing a long division of 11 by 12 or by using certain facts, such as the fact that 1/12 is equal to the decimal 0.083333 in which 3 is a repeating digit.
Using this fact, students can find that the fraction 11/12 is equivalent to multiplying 0.083333 by 11. The answer is 0.916663, and it can be rounded to 0.9167. Another way to find the answer is to know that 6/12 +5/12 = 11/12. The fraction 6/12 is equal to the decimal 0.5000. The fraction 5/12 is the same as multiplying 0.08333 by 5, which is 0.416665. By adding 0.5 and 0.416665, it is evident that the result is 0.916665, which can be rounded to 0.9167.