420/189 Simplified

Fraction Simplifier Calculator

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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].

Prime Factors of 420: 2,2,3,5,7

Prime Factors of 189: 3,3,3,7

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

Fraction Lowest Terms
420/174 70/29
420/175 12/5
420/176 105/44
420/177 140/59
420/178 210/89
420/179 420/179
420/180 7/3
420/181 420/181
420/182 30/13
420/183 140/61
420/184 105/46
420/185 84/37
420/186 70/31
420/187 420/187
420/188 105/47
420/189 20/9
420/190 42/19
420/191 420/191
420/192 35/16
420/193 420/193
420/194 210/97
420/195 28/13
420/196 15/7
420/197 420/197
420/198 70/33
420/199 420/199
420/200 21/10
420/201 140/67
420/202 210/101
420/203 60/29

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.

See Also