30/120 Simplified

What is 30/120 Simplified?

Answer: Fraction 30/120 simplified to lowest terms is 1/4 (¼)
30
/
120
=
1
/
4

1/4 (¼) is the simplified fraction of 30/120.

Simplifying Fraction 30/120 using GCF

The first way to simplify the fraction 30/120 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [120].

GCF of 30 and 120 is 30

And then divide both the numerator [30] and denominator [120] by the GCF [30].

30 ÷ 30
/
120 ÷ 30
=
1
/
4

Simplifying Fraction 30/120 using Prime Factors

Another method to reduce the fraction 30/120 to its simplest form is to use the Prime Factors of numerator [30] 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 × 5
/
2 × 2 × 2 × 3 × 5
=
1
/
4

Simplifying Fraction 30/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] 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.

30 ÷ 2
/
120 ÷ 2
=
15
/
60
15 ÷ 3
/
60 ÷ 3
=
5
/
20
5 ÷ 5
/
20 ÷ 5
=
1
/
4

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 30/120 Simplified? (The answer is: 1/4 (¼)). Enter the fraction (numerator and denominator) (e.g. '30/120') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 30/120) 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
30/10615/53
30/10730/107
30/10930/109
30/11110/37
30/11215/56
30/11330/113
30/114
30/115
30/11615/58
30/11710/39
30/11815/59
30/11930/119
30/12130/121
30/12215/61
30/123
30/12415/62
30/125
30/126
30/12730/127
30/12815/64
30/12910/43
30/13130/131
30/13330/133
30/13415/67

FAQ

What is 30/120 Simplified?

Fraction 30/120 simplified to lowest terms is 1/4 (¼)