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420/300 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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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

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What is 420/300 Simplified to Simplest Form?. Simplify fraction 420/300 to lowest terms. Reduce 420/300 to its simplest form.
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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

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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