This article was co-authored by Jake Adams. Jake Adams is an academic tutor and the owner of Simplifi EDU, a Santa Monica, California based online tutoring business offering learning resources and online tutors for academic subjects K-College, SAT & ACT prep, and college admissions applications. With over 14 years of professional tutoring experience, Jake is dedicated to providing his clients the very best online tutoring experience and access to a network of excellent undergraduate and graduate-level tutors from top colleges all over the nation. Jake holds a BS in International Business and Marketing from Pepperdine University.
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Have you spotted a mixed number, and are you not sure what its percentage value is? There are multiple methods used to convert a mixed number to percentage.
Steps
Writing the Mixed Number as a Decimal
Convert the mixed number to decimal. To do this, divide the numerator of the fraction by its denominator, and then add the whole number to this value. For example, 2 3/6 would be 2.5 in decimal form, since 3/6 is equal to 0.5.
Convert the decimal to percent by multiplying it by 100. An easy way to multiply it by 100 is to move the decimal two spaces to the right. For example, 2.5 as a percent is 250% because 2.5 times 100 is 250%.Advertisement
Add a percent (%) sign so others know that the number is being compared to 100%.Advertisement
Breaking the Mixed Number into Parts
Create two pieces of the mixed number; the whole number and the fraction. For example, if you had 4 4/5, you would break this mixed fraction into two pieces.
Find the whole number's percentage by moving the decimal point two spaces to the right. When moving the decimal point, you will need to add zeros to serve as placeholders.
Divide the top number of your fraction by the bottom number. Doing this will turn it into a decimal number.
Change your decimal number to a percent. For example, if your decimal value is 0.80, you would move it two spaces to the right to get 80.
Put it all together! Add up the two numbers you ended with, as soon as you converted them to percent. For example, if you had 4 4/5, you would add 400 and 80 to get 480, so 480% would be the total percentage.Advertisement
Expert Q&A
Tips
- To convert a percentage back into a mixed number, do the following:
- Turn the percentage into an improper fraction over 100. For example, 240% would be 240/100.
- Change this fraction into a mixed number. For example, if you divided 240 by 100, you would get 2 40/100.
- Simplify as needed. For example, 2 40/100 would be 2 2/5 in simplest form, since 40 divided by 20 is 2, and 100 divided by 2 is 5.
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