Final answer:
To write a fraction with common factors of 1, 2, 4, and 8, we can use the lowest common multiple (LCM) of 8. A possible fraction is 16/32, but it can be simplified to 1/2.
Step-by-step explanation:
To write a fraction with the numerators and denominators having 1, 2, 4, and 8 as common factors, we need to find the lowest common multiple (LCM) of 1, 2, 4, and 8. The LCM is 8. Therefore, our fraction will have the numerator and denominator as multiples of 8. A possible fraction is 16/32. However, we need to simplify this fraction to its simplest form. Both the numerator and denominator are divisible by 16, so we can simplify the fraction to 1/2.