Final answer:
To find the decimal form of the fraction 3/11, divide 3 by 11, which results in the recurring decimal 0.2727.
Step-by-step explanation:
When finding the decimal form of the fraction 3/11, we would set it up as a division problem where a is the numerator and b is the denominator. Here, a represents 3, and b represents 11. To find the decimal form, we divide 3 by 11 using long division or a calculator. Upon dividing, the decimal form of 3/11 is approximately 0.2727, with the digits '27' repeating indefinitely. This is called a recurring decimal, and it often occurs when dividing numbers that don't result in a terminating decimal.
In mathematics, understanding the relationship between fractions, decimals, and division is essential. Division is the process of determining how many times one number is contained within another, while a fraction like 3/11 tells us that we have 3 parts out of a total of 11 parts. The concept of division and fractions is closely related because dividing the numerator by the denominator effectively gives us the fraction in decimal form.