Answer:
141/500.
Explanation:
Step 1: Convert 28.2% to a decimal:
To convert a percent to a decimal, we divide by 100.
This is the same as moving the decimal two places to the left, so 28.2% as a decimal is 0.282.
Step 2: Convert 0.282 to a fraction:
0.282 is two hundred and eight-two thousandths, so the number as a fraction is 282/1000.
Step 3: Divide the numerator and the denominator by the greatest common factor to have the fraction in lowest terms:
The greatest common factor (highest number by which both 282 and 1000 can be evenly divided by) of 282 and 1000 is 2.
Thus, we divide both 282 and 1000 by 2 to have the fraction in lowest terms:
(282 / 2) / (1000 / 2)
141/500
Thus, 28.2% as a fraction is 141/500.