What fraction of a circle is 33-1/3% of a circle?
Ah, let me put on my clown nose for this one! 33-1/3% of a circle is equivalent to one-third. So, it would be fair to say that it's like cutting a pizza into three equal slices, and you're trying to figure out how much of the whole pizza that one slice represents. So, one-third of a circle is equal to one-third of the whole thing! 🍕😄
To find the fraction of a circle that is 33-1/3% of a circle, we need to convert the percentage to a fraction.
First, let's convert 33-1/3% to decimal form. Divide 33-1/3 by 100:
33-1/3 ÷ 100 = 0.3333...
This decimal form corresponds to one-third, as 0.3333... is equivalent to 1/3.
In a circle, the total angle measure is 360 degrees. To find the fraction of the circle, we need to determine the fraction of 360 degrees that corresponds to one-third.
To do that, multiply 360 degrees by one-third:
360 degrees × 1/3 = 120 degrees
So, 33-1/3% of a circle is equal to a fraction of 120 degrees out of 360 degrees.
To express this as a fraction, we simplify 120/360 by dividing both the numerator and denominator by their greatest common divisor, which is 120:
120 ÷ 120 / 360 ÷ 120 = 1/3
Therefore, 33-1/3% of a circle is equivalent to 1/3 of a circle.
1/3
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