120/30 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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What is 120/30 Simplified?

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

4/1 is the simplified fraction of 120/30.

Since the numerator [120] is greater than the denominator [30] and numerator is a multiple of the denominator, so we can convert it into a whole number:

4
/
1
=4

Simplifying Fraction 120/30 using GCF

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

GCF of 120 and 30 is 30

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

120 ÷ 30
/
30 ÷ 30
=
4
/
1

Simplifying Fraction 120/30 using Prime Factors

Another method to reduce the fraction 120/30 to its simplest form is to use the Prime Factors of numerator [120] and denominator [30].

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

Prime Factors of 30: 2,3,5

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

2 × 2 × 2 × 3 × 5
/
2 × 3 × 5
=
4
/
1

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

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [30] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

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

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Fraction Simplification Table

FractionLowest Terms
120/158/1
120/1615/2
120/17120/17
120/1820/3
120/19120/19
120/206/1
120/2140/7
120/2260/11
120/23120/23
120/245/1
120/2524/5
120/2660/13
120/2740/9
120/2830/7
120/29120/29
120/304/1
120/31120/31
120/3215/4
120/3340/11
120/3460/17
120/3524/7
120/3610/3
120/37120/37
120/3860/19
120/3940/13
120/403/1
120/41120/41
120/4220/7
120/43120/43
120/4430/11

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 120/30 Simplified? (The answer is: 4/1). Enter the fraction (numerator and denominator) (e.g. '120/30') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 120/30) 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 Simplifier Calculator

Simplify the Fraction

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FAQ

What is 120/30 Simplified?

Fraction 120/30 simplified to lowest terms is 4/1

See Also