What is 42/38 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 42/38 Simplified?

Answer

Fraction 42/38 simplified to lowest terms is 21/19

42

38

=

21

19

21/19 is the simplified fraction of 42/38.

Since the numerator [42] is greater than the denominator [38] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

21

19

=1

2

19

Simplifying Fraction 42/38 using GCF

The first way to simplify the fraction 42/38 is to use the Greatest Common Factor (GCF) of our numerator [42] and denominator [38].

GCF of 42 and 38 is 2

And then divide both the numerator [42] and denominator [38] by the GCF [2].

42 ÷ 2

38 ÷ 2

=

21

19

Simplifying Fraction 42/38 using Prime Factors

Another method to reduce the fraction 42/38 to its simplest form is to use the Prime Factors of numerator [42] and denominator [38].

Prime Factors of 42: 2,3,7

Prime Factors of 38: 2,19

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

2 × 3 × 7

2 × 19

=

21

19

Simplifying Fraction 42/38 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [42] and denominator [38] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

42 ÷ 2

38 ÷ 2

=

21

19

Fraction Simplification Table

Fraction	Lowest Terms
42/23	42/23
42/24	7/4
42/25	42/25
42/26	21/13
42/27	14/9
42/28	3/2
42/29	42/29
42/30	7/5
42/31	42/31
42/32	21/16
42/33	14/11
42/34	21/17
42/35	6/5
42/36	7/6
42/37	42/37
42/38	21/19
42/39	14/13
42/40	21/20
42/41	42/41
42/42	1/1
42/43	42/43
42/44	21/22
42/45	14/15
42/46	21/23
42/47	42/47
42/48	7/8 (⅞)
42/49	6/7
42/50	21/25
42/51	14/17
42/52	21/26

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 42/38 Simplified? (The answer is: 21/19). Enter the fraction (numerator and denominator) (e.g. '42/38') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 42/38) 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).

42/38 Simplified