102/120 Simplified

What is 102/120 Simplified?

Answer: Fraction 102/120 simplified to lowest terms is 17/20
102
/
120
=
17
/
20

17/20 is the simplified fraction of 102/120.

Simplifying Fraction 102/120 using GCF

The first way to simplify the fraction 102/120 is to use the Greatest Common Factor (GCF) of our numerator [102] and denominator [120].

GCF of 102 and 120 is 6

And then divide both the numerator [102] and denominator [120] by the GCF [6].

102 ÷ 6
/
120 ÷ 6
=
17
/
20

Simplifying Fraction 102/120 using Prime Factors

Another method to reduce the fraction 102/120 to its simplest form is to use the Prime Factors of numerator [102] and denominator [120].

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

2 × 3 × 17
/
2 × 2 × 2 × 3 × 5
=
17
/
20

Simplifying Fraction 102/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [102] 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.

102 ÷ 2
/
120 ÷ 2
=
51
/
60
51 ÷ 3
/
60 ÷ 3
=
17
/
20

See Also

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 102/120 Simplified? (The answer is: 17/20). Enter the fraction (numerator and denominator) (e.g. '102/120') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 102/120) 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).

Fraction Simplification Table

FractionLowest Terms
102/10534/35
102/10651/53
102/107102/107
102/108
102/109102/109
102/11051/55
102/11134/37
102/11251/56
102/113
102/114
102/115102/115
102/11651/58
102/11734/39
102/11851/59
102/119
102/121102/121
102/12251/61
102/12334/41
102/12451/62
102/125
102/126
102/127102/127
102/12851/64
102/12934/43
102/13051/65
102/131102/131
102/132
102/133102/133
102/13451/67

FAQ

What is 102/120 Simplified?

Fraction 102/120 simplified to lowest terms is 17/20