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Simplifying Fractions Calculator

Simplifying Fractions
\[ = - \frac{14}{3}= -4 \frac{2}{3} \]Solution

Rewriting the fraction with the negative sign on the fraction gives us a negative fraction:\[ = - \frac{42}{9} \]Find the Greatest Common Factor (GCF) of 42 and 9, if it exists, and reduce our fraction by dividing both numerator and denominator by it, GCF = 3,\[ = - \frac{42 \div 3}{9 \div 3}= - \frac{14}{3} \]Converting to a mixed number using long division with remainders for 14 ÷ 3.

\[ 14 \div 3 = 4 \; R2 \]Therefore:\[ = - \frac{14}{3}= -4 \frac{2}{3} \]

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Calculator Use

Simplify proper and improper fractions to a reduced fraction or mixed number. To perform operations on fractions before you simplify them try our fractions calculator. This calculator will also simplify improper fractions into mixed numbers.

Simplify Fraction Calculator Notes

Simplifies fractions and returns an answer in a reduced fraction and a mixed number, if it exists. Some people refer to this as rounding down to the lowest denominator.

This script performs the reducing calculation faster than other scripts you might find. The primary reason is that it utilizes Euclid's Algorithm for reducing fractions, as shown on The Math Forum.

How to find improper fractions

An improper fraction is any fraction such that the numerator divided by the denominator is > 1. This calculator also turns improper fractions into mixed numbers. For example, 5/2 = 2 1/2.


Cite this content, page or calculator as:

Furey, Edward "Simplifying Fractions Calculator"; from http://www.calculatorsoup.com - Online Calculator Resource.

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