What is 280/120 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 280/120 Simplified?

Answer: Fraction 280/120 simplified to lowest terms is 7/3

280

/

120

=

7

/

3

7/3 is the simplified fraction of 280/120.

Since the numerator [280] 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:

7

/

3

=2

1

/

3

Simplifying Fraction 280/120 using GCF

The first way to simplify the fraction 280/120 is to use the Greatest Common Factor (GCF) of our numerator [280] and denominator [120].

GCF of 280 and 120 is 40

And then divide both the numerator [280] and denominator [120] by the GCF [40].

280 ÷ 40

/

120 ÷ 40

=

7

/

3

Simplifying Fraction 280/120 using Prime Factors

Another method to reduce the fraction 280/120 to its simplest form is to use the Prime Factors of numerator [280] and denominator [120].

Prime Factors of 280: 2,2,2,5,7

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:

2 × 2 × 2 × 5 × 7

/

2 × 2 × 2 × 3 × 5

=

7

/

3

Simplifying Fraction 280/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [280] 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.

280 ÷ 2

/

120 ÷ 2

=

140

/

60

140 ÷ 2

/

60 ÷ 2

=

70

/

30

70 ÷ 2

/

30 ÷ 2

=

35

/

15

35 ÷ 5

/

15 ÷ 5

=

7

/

3

Fraction Simplification Table

Fraction	Lowest Terms
280/105	8/3
280/106	140/53
280/107	280/107
280/108	70/27
280/109	280/109
280/110	28/11
280/111	280/111
280/112	5/2
280/113	280/113
280/114	140/57
280/115	56/23
280/116	70/29
280/117	280/117
280/118	140/59
280/119	40/17
280/120	7/3
280/121	280/121
280/122	140/61
280/123	280/123
280/124	70/31
280/125	56/25
280/126	20/9
280/127	280/127
280/128	35/16
280/129	280/129
280/130	28/13
280/131	280/131
280/132	70/33
280/133	40/19
280/134	140/67

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 280/120 Simplified? (The answer is: 7/3). Enter the fraction (numerator and denominator) (e.g. '280/120') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 280/120) 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).

280/120 Simplified