42/39 Simplified
What is 42/39 Simplified?
14/13 is the simplified fraction of 42/39.
Since the numerator [42] is greater than the denominator [39] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:
Simplifying Fraction 42/39 using GCF
The first way to simplify the fraction 42/39 is to use the Greatest Common Factor (GCF) of our numerator [42] and denominator [39].
GCF of 42 and 39 is 3
And then divide both the numerator [42] and denominator [39] by the GCF [3].
Simplifying Fraction 42/39 using Prime Factors
Another method to reduce the fraction 42/39 to its simplest form is to use the Prime Factors of numerator [42] and denominator [39].
Prime Factors of 42: 2,3,7
Prime Factors of 39: 3,13
Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:
Simplifying Fraction 42/39 by Dividing by the Smallest Possible Number
In order to simplify our fraction we can start dividing both the numerator [42] and denominator [39] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.
Fraction Simplification Table
Fraction | Lowest Terms |
---|---|
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 |
42/53 | 42/53 |