280/120 Simplified

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].

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

FractionLowest Terms
280/105
280/106140/53
280/107280/107
280/10870/27
280/109280/109
280/11028/11
280/111280/111
280/112
280/113280/113
280/114140/57
280/11556/23
280/11670/29
280/117280/117
280/118140/59
280/119
280/121280/121
280/122140/61
280/123280/123
280/12470/31
280/12556/25
280/126
280/127280/127
280/12835/16
280/129280/129
280/130
280/131280/131
280/13270/33
280/13340/19
280/134140/67

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).

FAQ

What is 280/120 Simplified?

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