Final answer:
0.45 pounds written as a fraction in simplest form is 9/20, and as a percent, it is 45%.
Step-by-step explanation:
To express the weight of a package of candy, 0.45 pounds, as a fraction in simplest form, we first write it as a fraction over 1:
0.45/1. Since there are two digits after the decimal point, we multiply both the numerator and denominator by 100 to get rid of the decimal, resulting in 45/100.
We then simplify the fraction by finding the greatest common divisor (GCD) of 45 and 100, which is 5, and dividing both by 5:
45 ÷ 5 / 100 ÷ 5 = 9/20.
So, the fraction in simplest form is 9/20.
To convert this fraction to a percent, we divide the numerator by the denominator and then multiply by 100:
(9 ÷ 20) × 100 = 45%. Therefore, 0.45 as a percent is 45%.