Simplifying Proper and Improper Fractions Calculator

Simplify Fractions
= ?
Answer:
= -
14
3
= - 4
2
3

Solution Work:

Rewriting the fraction
with the negative sign on the fraction
we have the negative fraction
= -
42
9
Find the Greatest Common Factor (GCF)
of 42 and 9

GCF = 3

We can reduce the fraction by dividing
the numerator and denominator by 3

= -
42 ÷ 3
9 ÷ 3
= -
14
3
Converting to a mixed number
using long division with remainders

14 ÷ 3 = 4 R2
= -
14
3
= - 4
2
3

Calculator Use

Simplify proper and improper fractions into 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 a round down to lowest denominator.

This script performs the reducing calculation faster than other scripts you might find. The primary reason is that it utilizes Euclid's Theorem for reducing fractions which can be found here http://mathforum.org/library/drmath/view/58134.html

How to find improper fractions

An improper fraction is any fraction such that p/q > 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.