Final answer:
To subtract 2/28 from 5/8, find the common denominator (56), convert both fractions to this denominator, and subtract the numerators, resulting in -31/56, which is the final reduced answer.
Step-by-step explanation:
To subtract the fractions 2/28 and 5/8, you first need to find a common denominator. Since 28 and 8 don't directly multiply to each other, you can choose their least common multiple (LCM) as the common denominator. The LCM of 28 and 8 is 56. You can then convert each fraction to have this common denominator:For 2/28, since 28 multiplied by 2 gives 56, multiply the numerator by 2 as well to get 4/56.For 5/8, since 8 multiplied by 7 gives 56, multiply the numerator by 7 to get 35/56.Now that they have the same denominator, you can subtract the numerators: 4/56 - 35/56 equals -31/56. This fraction can be reduced by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 1 in this case. Thus, the final answer remains -31/56.