Transforming a Negative Denominator into a Positive


Note: No need for numbers

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<h3>Transforming a Negative Denominator into a Positive</h3> <br /><h4>Note: No need for numbers</h4>

A fraction represents part of a whole. The bottom number is the denominator, which tells you how many equal parts the whole is divided by. The top number is the numerator, which tells you how many parts of the whole the fraction represents. If a fraction has a negative number as its denominator, it’s easy to convert it into a positive.

1. Write Your Fraction

Write your fraction. For example,



(frac{3}{-6})

2. Multiply the Numerator and Denominator

Multiply both the numerator and the denominator by −1. Work out 3 × −1 = −3 for the numerator. Work out −6 × −1 = 6 for the denominator. The fraction is now

(frac{-3}{6})

3. Reduce Fraction to Its Simplest Form

If possible, reduce the fraction to its simplest form. For example, divide −3 and 6 by 3 to make ( −1)/2. The fraction in its simplest form is



(frac{-1}{2})

TL;DR (Too Long; Didn’t Read)

Remember, a fraction with a negative sign anywhere is a negative fraction; in other words, it represents a negative quantity. As long as you write only one negative sign, it doesn’t matter whether you put it before the denominator, before the numerator or before the entire fraction. For example, these fractions are all equal: (−1)/2, 1/( −2), −(1/2) and −1/2.

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.