Reviewed by Jessica Kaminski
66 2/3 Percent as a Fraction
Answer: 66 2/3 percent as a fraction is 2/3
Percentages can be converted to fractions to express proportions in a different form. 66 2/3 percent is a mixed number percentage that can be transformed into a simple fraction by following a few steps. Understanding this conversion helps in mathematical operations where working with fractions might be easier or more precise than with percentages.
Methods
Math Tutor Explanation Using the Mixed Number to Fraction Method
This method focuses on first converting the mixed number percentage into an improper fraction, then changing it to a fraction over 100, and finally simplifying.
Step 1: Step 1: Convert 66 2/3 to an improper fraction by multiplying 66 by 3 and adding 2, giving 200/3
Step 2: Step 2: Write the percent as a fraction over 100: (200/3) / 100
Math Tutor Explanation Using the Decimal Conversion Method
This approach involves first converting the percentage into a decimal, and then writing that decimal as a fraction.
Step 1: Step 1: Convert 66 2/3 percent to a decimal by dividing by 100, so 66.666... ÷ 100 = 0.6666...
Step 2: Step 2: Recognize that 0.6666... is the repeating decimal for 2/3
Step 1:
Step 2:
Math Tutor suggests: Convert Between Percents, Fractions, and Decimals
Strengthen your skills by practicing problems that involve converting between percents, fractions, and decimals.
FAQ on Converting Percentages to Fractions
How do you convert a percent to a fraction?
Divide the percent value by 100 and simplify the resulting fraction.
What does 66 2/3 percent mean?
It means 66 and two-thirds parts out of 100, or 66.666...%
Is 66 2/3% the same as 2/3?
Yes, 66 2/3 percent is equivalent to the fraction 2/3.
Why does 66 2/3 percent convert to a simple fraction?
Because it represents a repeating decimal (0.666...) which is exactly equal to 2/3.
How do I check if my fraction is correct?
You can divide the fraction’s numerator by its denominator and multiply by 100 to get the original percent.
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