What is 399/42 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 399/42 Simplified?

Answer

Fraction 399/42 simplified to lowest terms is 19/2

399

42

=

19

2

19/2 is the simplified fraction of 399/42.

Since the numerator [399] is greater than the denominator [42] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

19

2

=9

1

2

Simplifying Fraction 399/42 using GCF

The first way to simplify the fraction 399/42 is to use the Greatest Common Factor (GCF) of our numerator [399] and denominator [42].

GCF of 399 and 42 is 21

And then divide both the numerator [399] and denominator [42] by the GCF [21].

399 ÷ 21

42 ÷ 21

=

19

2

Simplifying Fraction 399/42 using Prime Factors

Another method to reduce the fraction 399/42 to its simplest form is to use the Prime Factors of numerator [399] and denominator [42].

Prime Factors of 399: 3,7,19

Prime Factors of 42: 2,3,7

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

3 × 7 × 19

2 × 3 × 7

=

19

2

Simplifying Fraction 399/42 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [399] and denominator [42] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

399 ÷ 3

42 ÷ 3

=

133

14

133 ÷ 7

14 ÷ 7

=

19

2

Fraction Simplification Table

Fraction	Lowest Terms
399/27	133/9
399/28	57/4
399/29	399/29
399/30	133/10
399/31	399/31
399/32	399/32
399/33	133/11
399/34	399/34
399/35	57/5
399/36	133/12
399/37	399/37
399/38	21/2
399/39	133/13
399/40	399/40
399/41	399/41
399/42	19/2
399/43	399/43
399/44	399/44
399/45	133/15
399/46	399/46
399/47	399/47
399/48	133/16
399/49	57/7
399/50	399/50
399/51	133/17
399/52	399/52
399/53	399/53
399/54	133/18
399/55	399/55
399/56	57/8

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 399/42 Simplified? (The answer is: 19/2). Enter the fraction (numerator and denominator) (e.g. '399/42') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 399/42) 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).

399/42 Simplified