Reduced fractions are fractions that have been reduced to their simplest form. The process is complete when the numerator and the denominator have no more factors in common. When reducing fractions by hand it may be easier to repeatedly divide numerator and denominator by factors that are common to both of them. How are fractions reduced to their lowest termsįractions can be simplified by dividing the numerator and denominator by their greatest common factor. This calculator may generate improper fractions, that is, fractions that have the numerator larger than their denominator. Partial fractions laplace imaginary numbers, simplify radical form calculator, algebra solving. You may enter positive or negative numbers for both numerator and denominator as long as their value is between -21474836483647. Simplifying Fractions With Negative Exponents Lesson. Then press the "Simplify Fraction" button, to calculate and display the simplified fraction. Enter the numerator and denominator as integer numbers. Just simply enter the input fields in the.
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"2" is the GCD because it is the largest number by which both the numerator (6) and the denominator (8) can be evenly divided, and as such is the number that must be factored out of both the numerator and denominator to reduce the fraction to lowest terms.Use this page to reduce a fraction to it's lowest terms. Utilize this simple and free Reducing Fraction Calculator tool which is very useful for reducing the fractions.
In the example above "2" is the greatest common divisor, or GCD, for the fraction 6 / 8.
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Here's an example of how to reduce a fraction: 6 8 = 3 4 x 2 2 = 3 4 x 1 = 3 4 removed) from both the numerator and denominator of the fraction, after which it cancels itself out, becomes 1, and can disappear from the equation. When you find a fraction's GCD it can be factored out (i.e. The largest possible number by which you can evenly divide both the numerator and the denominator of fraction is called their "greatest common divisor," or GCD. it will reduce the fraction to "lowest terms").
If you can come up with more than one number by which you can evenly divide both the numerator and the denominator then you want to use the largest number you can find, because this number will reduce your fraction the furthest (i.e. the number on the bottom) can be evenly divided. the number on the top) and the denominator (i.e. You'll know you can reduce a fraction if you can find a number (other than 1) by which both the numerator (i.e. You should always reduce a fraction so that it's got the lowest possible numbers on top and bottom, it's just considered good form. The number on top of a fraction is called the "numerator" and the number on the bottom is called the "denominator." How to Reduce Fractionsįractions like 8 / 16, or 6 / 9, or 55 / 66, are examples of fractions that can be reduced, which just means that it's possible to show them with smaller numbers on top and bottom without changing their overall value. In addition to providing the reduced fraction answer, this fraction reduction calculator also provides a detailed method explanation to show you how to get the answer. It provides the reduced fraction answer in proper or improper form, and also as a mixed fraction if the answer is an improper fraction. This fraction reduction calculator will reduce any fraction to its lowest terms.
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