30/66 as a percentage is 45.45%. This number tells you how much of a whole the fraction represents when you look at it in terms of hundredths. It’s a handy way to compare the fraction to other values that are already expressed as percentages.
The fraction 30/66 can be simplified by dividing both the top and bottom numbers by their greatest common divisor, which is 6. When you do that, you get 5/11. Even though the fraction looks smaller, it still represents the same amount—about 45.45% of a whole.
Thinking of it as a percent makes everyday situations easier. For example, if you had 66 pieces of candy and ate 30 of them, you’d have eaten roughly 45% of the candy. It’s a quick mental check that the fraction isn’t a half, but it’s close.
In school, you’ll often see fractions turned into percentages so that you can compare them side by side. Knowing that 30/66 equals 45.45% means you can instantly see its size relative to other percentages without doing any extra math.