Finding a Percentage of a Fraction

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<h3>Finding a Percentage of a Fraction</h3>

Fractions are comprised of a numerator and a denominator. The denominator represents the number of parts that make up one whole, and the numerator represents the number of those parts in the fraction. For example, 3/5 would mean that five parts equals one whole, and this fraction has three parts. If you wanted to find a percentage of a fraction, you need to know how to convert a percentage to a decimal and how to multiply that decimal by the fraction.

Step 1

Divide the percent by 100 to convert it to a decimal. For example, if you want to find 20 percent of 5/7, first divide 20 by 100 to get 0.2.



Step 2

Multiply the decimal by the numerator of the fraction. In this example, multiply 0.2 by 5 to get 1.

Step 3

Place the result from the previous step over the original denominator. In this example, you would place 1 over 7 to find that 1/7 equals 20 percent of 5/7. If you want to convert to a decimal, simply divide the numerator by the denominator. In this example, 5/7 equals 0.7143.

Dave Pennells

By Dave Pennells

Dave Pennells, MS, has contributed his expertise as a career consultant and training specialist across various fields for over 15 years. At City University of Seattle, he offers personal career counseling and conducts workshops focused on practical job search techniques, resume creation, and interview skills. With a Master of Science in Counseling, Pennells specializes in career consulting, conducting career assessments, guiding career transitions, and providing outplacement services. Her professional experience spans multiple sectors, including banking, retail, airlines, non-profit organizations, and the aerospace industry. Additionally, since 2001, he has been actively involved with the Career Development Association of Australia.