105/120 Simplified

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].

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 reminder.

105 ÷ 3
/
120 ÷ 3
=
35
/
40
35 ÷ 5
/
40 ÷ 5
=
7
/
8

See Also

Fraction Simplification Table

FractionLowest Terms
105/105
105/106105/106
105/107105/107
105/10835/36
105/109105/109
105/11021/22
105/11135/37
105/112
105/113105/113
105/11435/38
105/11521/23
105/116105/116
105/11735/39
105/118105/118
105/119
105/121105/121
105/122105/122
105/12335/41
105/124105/124
105/125
105/126
105/127105/127
105/128105/128
105/12935/43
105/13021/26
105/131105/131
105/13235/44
105/133
105/134105/134

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).

FAQ

What is 105/120 Simplified?

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