What is 105/120 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 105/120 Simplified?

Answer

Fraction 105/120 simplified to lowest terms is 7/8 (⅞)

105

120

=

7

8

7/8 (⅞) is the simplified fraction of 105/120.

Simplifying Fraction 105/120 using GCF

The first way to simplify the fraction 105/120 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [120].

GCF of 105 and 120 is 15

And then divide both the numerator [105] and denominator [120] by the GCF [15].

105 ÷ 15

120 ÷ 15

=

7

8

Simplifying Fraction 105/120 using Prime Factors

Another method to reduce the fraction 105/120 to its simplest form is to use the Prime Factors of numerator [105] and denominator [120].

Prime Factors of 105: 3,5,7

Prime Factors of 120: 2,2,2,3,5

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

3 × 5 × 7

2 × 2 × 2 × 3 × 5

=

7

8

Simplifying Fraction 105/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [105] and denominator [120] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

105 ÷ 3

120 ÷ 3

=

35

40

35 ÷ 5

40 ÷ 5

=

7

8

Fraction Simplification Table

Fraction	Lowest Terms
105/105	1/1
105/106	105/106
105/107	105/107
105/108	35/36
105/109	105/109
105/110	21/22
105/111	35/37
105/112	15/16
105/113	105/113
105/114	35/38
105/115	21/23
105/116	105/116
105/117	35/39
105/118	105/118
105/119	15/17
105/120	7/8 (⅞)
105/121	105/121
105/122	105/122
105/123	35/41
105/124	105/124
105/125	21/25
105/126	5/6 (⅚)
105/127	105/127
105/128	105/128
105/129	35/43
105/130	21/26
105/131	105/131
105/132	35/44
105/133	15/19
105/134	105/134

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 105/120 Simplified? (The answer is: 7/8 (⅞)). Enter the fraction (numerator and denominator) (e.g. '105/120') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 105/120) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

105/120 Simplified