51/42 Simplified
What is 51/42 Simplified?
17/14 is the simplified fraction of 51/42.
Since the numerator [51] 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:
Simplifying Fraction 51/42 using GCF
The first way to simplify the fraction 51/42 is to use the Greatest Common Factor (GCF) of our numerator [51] and denominator [42].
GCF of 51 and 42 is 3
And then divide both the numerator [51] and denominator [42] by the GCF [3].
Simplifying Fraction 51/42 using Prime Factors
Another method to reduce the fraction 51/42 to its simplest form is to use the Prime Factors of numerator [51] and denominator [42].
Prime Factors of 51: 3,17
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:
Simplifying Fraction 51/42 by Dividing by the Smallest Possible Number
In order to simplify our fraction we can start dividing both the numerator [51] 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 reminder.
Fraction Simplification Table
Fraction | Lowest Terms |
---|---|
51/27 | 17/9 |
51/28 | 51/28 |
51/29 | 51/29 |
51/30 | 17/10 |
51/31 | 51/31 |
51/32 | 51/32 |
51/33 | 17/11 |
51/34 | 3/2 |
51/35 | 51/35 |
51/36 | 17/12 |
51/37 | 51/37 |
51/38 | 51/38 |
51/39 | 17/13 |
51/40 | 51/40 |
51/41 | 51/41 |
51/42 | 17/14 |
51/43 | 51/43 |
51/44 | 51/44 |
51/45 | 17/15 |
51/46 | 51/46 |
51/47 | 51/47 |
51/48 | 17/16 |
51/49 | 51/49 |
51/50 | 51/50 |
51/51 | 1/1 |
51/52 | 51/52 |
51/53 | 51/53 |
51/54 | 17/18 |
51/55 | 51/55 |
51/56 | 51/56 |