150/120 Simplified

What is 150/120 Simplified?

Answer: Fraction 150/120 simplified to lowest terms is 5/4
150
/
120
=
5
/
4

5/4 is the simplified fraction of 150/120.

Since the numerator [150] is greater than the denominator [120] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

5
/
4
=1
1
/
4

Simplifying Fraction 150/120 using GCF

The first way to simplify the fraction 150/120 is to use the Greatest Common Factor (GCF) of our numerator [150] and denominator [120].

GCF of 150 and 120 is 30

And then divide both the numerator [150] and denominator [120] by the GCF [30].

150 ÷ 30
/
120 ÷ 30
=
5
/
4

Simplifying Fraction 150/120 using Prime Factors

Another method to reduce the fraction 150/120 to its simplest form is to use the Prime Factors of numerator [150] 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 × 5
/
2 × 2 × 2 × 3 × 5
=
5
/
4

Simplifying Fraction 150/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [150] 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.

150 ÷ 2
/
120 ÷ 2
=
75
/
60
75 ÷ 3
/
60 ÷ 3
=
25
/
20
25 ÷ 5
/
20 ÷ 5
=
5
/
4

Fraction Simplification Table

FractionLowest Terms
150/105
150/10675/53
150/107150/107
150/10825/18
150/109150/109
150/110
150/11150/37
150/11275/56
150/113150/113
150/11425/19
150/11530/23
150/11675/58
150/117
150/11875/59
150/119150/119
150/121150/121
150/12275/61
150/12350/41
150/12475/62
150/12625/21
150/127150/127
150/12875/64
150/12950/43
150/130
150/131150/131
150/13225/22
150/133150/133
150/13475/67

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 150/120 Simplified? (The answer is: 5/4). Enter the fraction (numerator and denominator) (e.g. '150/120') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 150/120) 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 150/120 Simplified?

Fraction 150/120 simplified to lowest terms is 5/4