What is 420/300 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 420/300 Simplified?

Answer: Fraction 420/300 simplified to lowest terms is 7/5

420

/

300

=

7

/

5

7/5 is the simplified fraction of 420/300.

Since the numerator [420] is greater than the denominator [300] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

7

/

5

=1

2

/

5

Simplifying Fraction 420/300 using GCF

The first way to simplify the fraction 420/300 is to use the Greatest Common Factor (GCF) of our numerator [420] and denominator [300].

GCF of 420 and 300 is 60

And then divide both the numerator [420] and denominator [300] by the GCF [60].

420 ÷ 60

/

300 ÷ 60

=

7

/

5

Simplifying Fraction 420/300 using Prime Factors

Another method to reduce the fraction 420/300 to its simplest form is to use the Prime Factors of numerator [420] and denominator [300].

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

Prime Factors of 300: 2,2,3,5,5

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

/

2 × 2 × 3 × 5 × 5

=

7

/

5

Simplifying Fraction 420/300 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [420] and denominator [300] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

420 ÷ 2

/

300 ÷ 2

=

210

/

150

210 ÷ 2

/

150 ÷ 2

=

105

/

75

105 ÷ 3

/

75 ÷ 3

=

35

/

25

35 ÷ 5

/

25 ÷ 5

=

7

/

5

Fraction Simplification Table

Fraction	Lowest Terms
420/285	28/19
420/286	210/143
420/287	60/41
420/288	35/24
420/289	420/289
420/290	42/29
420/291	140/97
420/292	105/73
420/293	420/293
420/294	10/7
420/295	84/59
420/296	105/74
420/297	140/99
420/298	210/149
420/299	420/299
420/300	7/5
420/301	60/43
420/302	210/151
420/303	140/101
420/304	105/76
420/305	84/61
420/306	70/51
420/307	420/307
420/308	15/11
420/309	140/103
420/310	42/31
420/311	420/311
420/312	35/26
420/313	420/313
420/314	210/157

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 420/300 Simplified? (The answer is: 7/5). Enter the fraction (numerator and denominator) (e.g. '420/300') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 420/300) 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).

420/300 Simplified