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:
The second way
1. Let's decompose the numerator and denominator into prime factors (you can use
the prime factorization calculator)
64 = 2โ2โ2โ2โ2โ2
88 = 2โ2โ2โ11
2. We represent the numerator and denominator of the fraction in the form of their decomposition into prime factors.

2โ2โ2โ2โ2โ2 

2โ2โ2โ11 
3. Cross out those factors that are repeated in both the numerator and denominator.

2โ2โ2โ2โ2โ2 
= 
2โ2โ2โ11 

2โ2โ2โ2โ2โ2 

2โ2โ2โ11 
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.

2โ2โ2โ2โ2โ2 
= 
2โ2โ2โ11 

2โ2โ2โ2โ2โ2 
= 
2โ2โ2โ11 
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:
The second way
1. Let's decompose the numerator and denominator into prime factors (you can use the prime factorization calculator)
20 = 2โ2โ5
48 = 2โ2โ2โ2โ3
2. We represent the numerator and denominator of the fraction in the form of their decomposition into prime factors.
6 
2โ2โ5 

2โ2โ2โ2โ3 
3. Cross out those factors that are repeated in both the numerator and denominator.
6 
2โ2โ5 
= 
2โ2โ2โ2โ3 
6 
2โ2โ5 

2โ2โ2โ2โ3 
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 
2โ2โ5 
= 
2โ2โ2โ2โ3 
6 
2โ2โ5 
= 
2โ2โ2โ2โ3 
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:
The second way
1. Let's decompose the numerator and denominator into prime factors (you can use the prime factorization calculator)
246 = 2โ3โ41
764 = 2โ2โ191
2. We represent the numerator and denominator of the fraction in the form of their decomposition into prime factors.
3. Cross out those factors that are repeated in both the numerator and denominator.
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.
Go to calculator