Final answer:
The fraction 248:3248 simplifies to 1/13 by dividing both the numerator and the denominator by 248, which is the greatest common divisor of both numbers.
Step-by-step explanation:
To simplify the fraction 248:3248 in its simplest form, we must find the greatest common divisor (GCD) of both numbers and divide both the numerator and denominator by this value. In this case, since 248 is a factor of 3248, we can divide both terms by 248 directly. By dividing the numerator and the denominator of the fraction by 248, we get 1/13. No further simplification is possible, as these two numbers are relatively prime (meaning their GCD is 1).
Recognizing that 24 is divisible by 8, we can apply similar logic to simplification of fractions involving multiplication and powers of ten. For example, dividing exponents when working with scientific notation or applying rounding rules during division operations are common practices. Understanding these concepts is critical in performing mathematical operations accurately.