Simplify Calculator

Enter a fraction in this simplify fractions calculator and it will reduce it to most simplest form. Whether you have a proper, improper, or mixed fraction, insert it into the tool and get its reduced form, with complete steps.

How to Simplify Fractions?

Our fraction reducer considers a couple of ways to split simple & mixed fractions to their most simple notation. With that, it will also calculate an equivalent decimal number for the reduced fraction. The two methods include:

Method 1 _ Greatest Common Divisor (GCD) Method:

Get the simplest form of any fractional term in seconds with our simplify fractions calculator that accounts for the GCD method:

• Find the GCD of both the numerator and denominator
• Divide both the numerator and denominator by their GCD
• The result is the simplified or reduced fraction

Calculations:

To simplify the fraction 24/36, we would first find the GCD of 24 and 36:

GCD ( 24, 36 ) = 12

24 / 12 / 36 / 12

Therefore the simplified form of the fraction for the 24/36 is 2/3

Method 2 _ Prime Factorization Method:

Our simplify fraction calculator uses prime factorization to simplify the fractions to their lowest terms and also provides you with a deeper understanding of fractions and their relations. 

• Write the Prime Factorization of both the numerator and denominator.
• Cancel out common factors between the numerator and denominator.
• Multiply the remaining factors to get the simplified or reduced fraction.

Calculations:

To simplify the fraction 48/60 first, find the prime factors of the numerator and denominator:

Prime Factors for 48 = 2 x 2 x 2 x 2 x 3 
Prime Factors for 60 = 2 x 2 x 3 x 5 

Factors that are cancelled out = 2 x 2 x 3

Hence, after canceling out the common factors we simplified the form of the fraction 48/60 into 4/5.

Mixed and Improper Fractions to their Lowest:

Our fraction simplifier scales up to the point where the numerator and denominator can not be further divided. So, look at the below steps:

• If the numerator and denominator have no common factors, then the reduce fraction calculator simplify that the fraction is already in its simplest form.
• If you try to divide by a number that is not a common factor, the fraction will not be simplified correctly.
• You can continue dividing the numerator and denominator by common factors until there are no more common factors. Once there are no more common factors, the fraction is in its simplest form.

Convert Mixed Fractions to Improper Fractions:

Our simplify fractions calculator can convert fractions of all types, including mixed numbers, improper fractions, and complex fractions.

To convert a mixed fraction to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. 

For Example: 

Suppose a mixed fraction is 3 ¼ and needs to turn into an improper fraction. So, it involves the multiplication of 3 by 4 and after that adding 1. It maintains the denominator, resulting in 13/4. Simplify further if possible.

Convert Improper Fractions to Mixed Fractions:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, with the quotient becoming the whole number and the remainder as the new numerator over the original denominator.

For Example:

For instance, converting 17/4  into a mixed fraction entails dividing 17 by 4, resulting in 4 with a remainder of 1. Therefore 17/4 simplifies into 4 ¼.

How Fraction Simplifier Operates:

Our innovative simplify fractions calculator employs the techniques to simplified fractions effortlessly. To get the advantage from their functioning follow the below steps:

Enter Required Data:

• Chose a number of fractions you want to estimate
• Insert the operations and select their function 

Results Summary:

• Demonstrates the reduction of a fraction to its simplest form
• Highlight the process of canceling common factors to simplify the fraction
• Handles mixed fractions and emphasizes transforming fractions to simplify them 

Frequently Ask Questions: 

What is the Simplest Form of 5/25?

To find the simplest form of 5/25 you can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 5 and 25 is 5.

Dividing both by 5, we get:

5/25 ÷ 5/5 = 1/5

What Fractions are Equivalent to 6/30?

To get an answer that is equivalent to the 6/30 there is a need to multiply or divide the numerator and denominator by the same non-zero number. Here are a few equivalent fractions:

• 6/30 = 1/5 (divided both numerator and denominator by 6)
• 6/30 = 2/10 (divided both numerator and denominator by 3)
• 6/30 = 3/15 (divided both numerator and denominator by 2)
• 6/30 = 4/20 (divided both numerator and denominator by 5)

Citation:

Wikipedia: Fraction, Forms of fractions, Arithmetic with fractions, Fractions in abstract mathematics, Radical expressions.