280/120 Simplified

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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 remainder.

280 ÷ 2
120 ÷ 2
=
140
60
140 ÷ 2
60 ÷ 2
=
70
30
70 ÷ 2
30 ÷ 2
=
35
15
35 ÷ 5
15 ÷ 5
=
7
3

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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).
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Fraction Simplification Table

FractionLowest Terms
280/1058/3
280/106140/53
280/107280/107
280/10870/27
280/109280/109
280/11028/11
280/111280/111
280/1125/2
280/113280/113
280/114140/57
280/11556/23
280/11670/29
280/117280/117
280/118140/59
280/11940/17
280/1207/3
280/121280/121
280/122140/61
280/123280/123
280/12470/31
280/12556/25
280/12620/9
280/127280/127
280/12835/16
280/129280/129
280/13028/13
280/131280/131
280/13270/33
280/13340/19
280/134140/67

FAQ

What is 280/120 Simplified?

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

What is 280/120 as a decimal?

Divide the reduced numerator by the reduced denominator: 7 ÷ 3 = 2.333, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 280 and 120?

The Greatest Common Factor of 280 and 120 is 40, and dividing the numerator and the denominator by it is what brings the fraction to 7/3. A GCF of 1 means the fraction is already in lowest terms.

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