References Khan Academy: Fractions in Lowest Terms About the Author Lisa studied mathematics at the University of Alaska, Anchorage, and spent several years tutoring high school and university students through scary -- but fun! But you still have to pay attention to the fractional remainder part of the mixed number.
This calculator also simplifies proper fractions by reducing to lowest terms and showing the work involved.
This calculator will also simplify improper fractions into mixed numbers. You only temporarily ignored the whole number component in order to deal with the fraction. List Factors Make a list of the factors for the numerator of the fraction, followed by a list of factors for the denominator: Numerator: 1, 2, 4 Denominator: 1, 2, 4, 8 Identify the Greatest Common Factor The greatest common factor, or the greatest factor present in both numbers, is 4.
The primary reason is that it utilizes Euclid's Algorithm for reducing fractions, as shown on The Math Forum.
Divide by the Greatest Common Factor Factor 4 out of both the numerator and denominator of the fraction or, to put it another way, divide both numbers by 4. If your improper fraction numbers are large you can use the Long Division with Remainders Calculator to find whole number and remainder values when simplifying fractions by hand.