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Simplifying Fractions Calculator

With the help of a fraction reduction calculator, you can reduce a fraction to an irreducible form, and also get a detailed solution. Enter non-negative integers in the numerator and denominator, if the fraction does not have a whole-number part, leave this field blank.

Whole-number part
Numerator
Denominator
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Examples of Reduction (Simplification) of Fractions

Reduce the fraction    64  
88


The first way
1. Find the greatest common divisor of the numerator and denominator (you can use the calculator for finding GCD)
    GCD (64 ; 88) = 8
2. Divide the numerator and denominator by their GCD
   64 : 8 = 8
   88 : 8 = 11

3. Substitute the division results into the numerator and denominator. We get a fraction:
8
11

The second way
1. Let's decompose the numerator and denominator into prime factors (you can use the prime factorization calculator)
   64 = 2โˆ™2โˆ™2โˆ™2โˆ™2โˆ™2
   88 = 2โˆ™2โˆ™2โˆ™11


2. We represent the numerator and denominator of the fraction in the form of their decomposition into prime factors.
   

64 =
88
2โˆ™2โˆ™2โˆ™2โˆ™2โˆ™2
2โˆ™2โˆ™2โˆ™11

3. Cross out those factors that are repeated in both the numerator and denominator.
   
64 =
88
2โˆ™2โˆ™2โˆ™2โˆ™2โˆ™2 =
2โˆ™2โˆ™2โˆ™11
2โˆ™2โˆ™2โˆ™2โˆ™2โˆ™2
2โˆ™2โˆ™2โˆ™11

4. The remaining factors are written in the numerator and denominator. If several factors remain in the numerator or denominator, then you need to multiply them together.
   
64 =
88
2โˆ™2โˆ™2โˆ™2โˆ™2โˆ™2 =
2โˆ™2โˆ™2โˆ™11
2โˆ™2โˆ™2โˆ™2โˆ™2โˆ™2 =
2โˆ™2โˆ™2โˆ™11
2โˆ™2โˆ™2 =
11
8
11
64 =
88
8
11
Go to calculator
Reduce the fraction   6 20  
48


The first way
1. Find the greatest common divisor of the numerator and denominator (you can use the calculator for finding GCD)
    GCD (20 ; 48) = 4
2. Divide the numerator and denominator by their GCD
   20 : 4 = 5
   48 : 4 = 12

3. Substitute the division results into the numerator and denominator. We get a fraction:
6 5
12

The second way
1. Let's decompose the numerator and denominator into prime factors (you can use the prime factorization calculator)
   20 = 2โˆ™2โˆ™5
   48 = 2โˆ™2โˆ™2โˆ™2โˆ™3


2. We represent the numerator and denominator of the fraction in the form of their decomposition into prime factors.
   

6 20 =
48
6 2โˆ™2โˆ™5
2โˆ™2โˆ™2โˆ™2โˆ™3

3. Cross out those factors that are repeated in both the numerator and denominator.
   
6 20 =
48
6 2โˆ™2โˆ™5 =
2โˆ™2โˆ™2โˆ™2โˆ™3
6 2โˆ™2โˆ™5
2โˆ™2โˆ™2โˆ™2โˆ™3

4. The remaining factors are written in the numerator and denominator. If several factors remain in the numerator or denominator, then you need to multiply them together.
   
6 20 =
48
6 2โˆ™2โˆ™5 =
2โˆ™2โˆ™2โˆ™2โˆ™3
6 2โˆ™2โˆ™5 =
2โˆ™2โˆ™2โˆ™2โˆ™3
6 5 =
2โˆ™2โˆ™3
6 5
12
6 20 =
48
6 5
12
Go to calculator
Reduce the fraction   246  
764


The first way
1. Find the greatest common divisor of the numerator and denominator (you can use the calculator for finding GCD)
    GCD (246 ; 764) = 2
2. Divide the numerator and denominator by their GCD
   246 : 2 = 123
   764 : 2 = 382

3. Substitute the division results into the numerator and denominator. We get a fraction:
123
382

The second way
1. Let's decompose the numerator and denominator into prime factors (you can use the prime factorization calculator)
   246 = 2โˆ™3โˆ™41
   764 = 2โˆ™2โˆ™191


2. We represent the numerator and denominator of the fraction in the form of their decomposition into prime factors.
   

246 =
764
2โˆ™3โˆ™41
2โˆ™2โˆ™191

3. Cross out those factors that are repeated in both the numerator and denominator.
   
246 =
764
2โˆ™3โˆ™41 =
2โˆ™2โˆ™191
2โˆ™3โˆ™41
2โˆ™2โˆ™191

4. The remaining factors are written in the numerator and denominator. If several factors remain in the numerator or denominator, then you need to multiply them together.
   
246 =
764
2โˆ™3โˆ™41 =
2โˆ™2โˆ™191
2โˆ™3โˆ™41 =
2โˆ™2โˆ™191
3โˆ™41 =
2โˆ™191
123
382
246 =
764
123
382
Go to calculator