What is 45/120 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 45/120 Simplified?

Answer

Fraction 45/120 simplified to lowest terms is 3/8 (⅜)

45

120

=

3

8

3/8 (⅜) is the simplified fraction of 45/120.

Simplifying Fraction 45/120 using GCF

The first way to simplify the fraction 45/120 is to use the Greatest Common Factor (GCF) of our numerator [45] and denominator [120].

GCF of 45 and 120 is 15

And then divide both the numerator [45] and denominator [120] by the GCF [15].

45 ÷ 15

120 ÷ 15

=

3

8

Simplifying Fraction 45/120 using Prime Factors

Another method to reduce the fraction 45/120 to its simplest form is to use the Prime Factors of numerator [45] and denominator [120].

Prime Factors of 45: 3,3,5

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

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

3 × 3 × 5

2 × 2 × 2 × 3 × 5

=

3

8

Simplifying Fraction 45/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [45] 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 remainder.

45 ÷ 3

120 ÷ 3

=

15

40

15 ÷ 5

40 ÷ 5

=

3

8

Related Calculations

What is 45 percent of 120?

Fraction Simplification Table

Fraction	Lowest Terms
45/105	3/7
45/106	45/106
45/107	45/107
45/108	5/12
45/109	45/109
45/110	9/22
45/111	15/37
45/112	45/112
45/113	45/113
45/114	15/38
45/115	9/23
45/116	45/116
45/117	5/13
45/118	45/118
45/119	45/119
45/120	3/8 (⅜)
45/121	45/121
45/122	45/122
45/123	15/41
45/124	45/124
45/125	9/25
45/126	5/14
45/127	45/127
45/128	45/128
45/129	15/43
45/130	9/26
45/131	45/131
45/132	15/44
45/133	45/133
45/134	45/134

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 45/120 Simplified? (The answer is: 3/8 (⅜)). Enter the fraction (numerator and denominator) (e.g. '45/120') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 45/120) 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).

45/120 Simplified