420/189 Simplified

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What is 420/189 Simplified?

Answer

Fraction 420/189 simplified to lowest terms is 20/9
420
189
=
20
9

20/9 is the simplified fraction of 420/189.

Since the numerator [420] is greater than the denominator [189] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

20
9
=2
2
9

Simplifying Fraction 420/189 using GCF

The first way to simplify the fraction 420/189 is to use the Greatest Common Factor (GCF) of our numerator [420] and denominator [189].

GCF of 420 and 189 is 21

And then divide both the numerator [420] and denominator [189] by the GCF [21].

420 ÷ 21
189 ÷ 21
=
20
9

Simplifying Fraction 420/189 using Prime Factors

Another method to reduce the fraction 420/189 to its simplest form is to use the Prime Factors of numerator [420] and denominator [189].

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

2 × 2 × 3 × 5 × 7
3 × 3 × 3 × 7
=
20
9

Simplifying Fraction 420/189 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [420] and denominator [189] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

420 ÷ 3
189 ÷ 3
=
140
63
140 ÷ 7
63 ÷ 7
=
20
9

See Also

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 420/189 Simplified? (The answer is: 20/9). Enter the fraction (numerator and denominator) (e.g. '420/189') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 420/189) 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).

Fraction Simplifier Calculator

Simplify the Fraction

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Fraction Simplification Table

FractionLowest Terms
420/17470/29
420/17512/5
420/176105/44
420/177140/59
420/178210/89
420/179420/179
420/1807/3
420/181420/181
420/18230/13
420/183140/61
420/184105/46
420/18584/37
420/18670/31
420/187420/187
420/188105/47
420/18920/9
420/19042/19
420/191420/191
420/19235/16
420/193420/193
420/194210/97
420/19528/13
420/19615/7
420/197420/197
420/19870/33
420/199420/199
420/20021/10
420/201140/67
420/202210/101
420/20360/29

FAQ

What is 420/189 Simplified?

Fraction 420/189 simplified to lowest terms is 20/9

How do you simplify 420/189?

420/189 simplified to lowest terms is 20/9. Divide both the numerator and denominator by their GCF (21).

What is the GCF of 420 and 189?

The Greatest Common Factor of 420 and 189 is 21.