Final answer:
To find an equivalent fraction for 5/8, multiply both the numerator (5) and the denominator (8) by the same number, resulting in a fraction like 10/16 or 15/24.
Step-by-step explanation:
To find an equivalent fraction for 5/8 using multiplication, you multiply both the numerator and the denominator by the same nonzero number. For instance, if you multiply both by 2, you would calculate 5 times 2 to get 10 for the numerator, and 8 times 2 to get 16 for the denominator. Hence, an equivalent fraction to 5/8 would be 10/16. This process does not change the value of the fraction; it simply scales it up or scales it down. Multiplying by different numbers will yield different equivalent fractions, such as multiplying by 3 to get 15/24.