Final answer:
The method to convert 2/15 to a decimal without division is Decimal Decomposition, which requires expanding the fraction, but an easier way is to recognize that 1/15 is approximately 0.0666, and multiplying by 2 gives 0.1332 as an approximation.
Step-by-step explanation:
To convert the fraction 2/15 to a decimal without performing division, one method that can be employed is Decimal Decomposition. This process involves expanding the fraction until the denominator is a power of 10, which can easily be converted to a decimal. In this case, we could try to find a number to multiply 15 by to get 100 or a simpler number, but that doesn't easily work without division. However, recognizing common fractions and their decimal equivalents could be helpful. Since 1/15 is approximately 0.0666, multiplying this by 2 gives us 0.1332 as an approximation without direct division..