420/300 Simplified

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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].

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 remainder.

420 ÷ 2
300 ÷ 2
=
210
150
210 ÷ 2
150 ÷ 2
=
105
75
105 ÷ 3
75 ÷ 3
=
35
25
35 ÷ 5
25 ÷ 5
=
7
5

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 420/300 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).
Fraction Simplifier Calculator
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Fraction Simplification Table

FractionLowest Terms
420/28528/19
420/286210/143
420/28760/41
420/28835/24
420/289420/289
420/29042/29
420/291140/97
420/292105/73
420/293420/293
420/29410/7
420/29584/59
420/296105/74
420/297140/99
420/298210/149
420/299420/299
420/3007/5
420/30160/43
420/302210/151
420/303140/101
420/304105/76
420/30584/61
420/30670/51
420/307420/307
420/30815/11
420/309140/103
420/31042/31
420/311420/311
420/31235/26
420/313420/313
420/314210/157

FAQ

What is 420/300 Simplified?

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

What is 420/300 as a decimal?

Divide the reduced numerator by the reduced denominator: 7 ÷ 5 = 1.4, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 420 and 300?

The Greatest Common Factor of 420 and 300 is 60, and dividing the numerator and the denominator by it is what brings the fraction to 7/5. A GCF of 1 means the fraction is already in lowest terms.