If you’re wondering what 16 out of 22 as a percentage is, you’re in luck. We’ve got the answer for you right here.
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Introduction
16 out of 22 as a percentage is 72.7%. To find the answer, divide 16 by 22 and then multiply by 100.
What is 16 out of 22 as a Percentage?
To work out 16 out of 22 as a percentage, you need to know two things. What is a percentage? And what is a fraction? A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, or the abbreviations “pct.”, “pct”; sometimes the abbreviation “pc” is also used. A fraction is a number that indicates a part of a whole.
Step One: Convert the Mixed Number to an Improper Fraction
Converting a mixed number to an improper fraction is easy! Simply multiply the whole number by the denominator and add it to the numerator. For example, if someone were to ask you “What is 2 3/4 as a decimal?” You would first want to convert it to an improper fraction. To do so, you would multiply 2 by 4 (the denominator) and add that result (8) to 3 (the numerator). So, 2 3/4 as an improper fraction would be written as 11/4.
Step Two: Find the Greatest Common Factor
In order to convert a fraction to a percent, you first need to convert it to an equivalent fraction with a denominator of 100. You can do this by finding the greatest common factor of the numerator and denominator and then multiplying both the numerator and denominator by that number. In the case of 16 out of 22, the greatest common factor is 2. This means that we need to multiply both 16 and 22 by 2 in order to get an equivalent fraction:
16 * 2 = 32
22 * 2 = 44
Therefore, 16 out of 22 can be simplified as 32 out of 44.
Step Three: Reduce the Improper Fraction
In order to calculate the percentage, we need to first convert the fraction 16/22 into a decimal. We can do this by dividing the numerator (16) by the denominator (22):
16 ÷ 22 = 0.727272…
This gives us the decimal equivalent of 16/22, which is 0.727272…. To convert this decimal into a percentage, we need to multiply it by 100:
0.727272… × 100 = 72.727272…%
Therefore, 16/22 is equivalent to 72.727272…%.
Step Four: Convert the Reduced Improper Fraction to a Percent
Now that the fraction has been reduced, it can be turned into a percent. This is done by multiplying the fraction by 100 and adding the “%” sign. In this problem, 100 * (16/22) = 72.73%. The answer is, “16 out of 22 as a percentage is equal to 72.73%.”
Conclusion
16 out of 22 is a little over 72%.
