105/30 Simplified
What is 105/30 Simplified?
7/2 is the simplified fraction of 105/30.
Since the numerator [105] is greater than the denominator [30] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:
Simplifying Fraction 105/30 using GCF
The first way to simplify the fraction 105/30 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [30].
GCF of 105 and 30 is 15
And then divide both the numerator [105] and denominator [30] by the GCF [15].
Simplifying Fraction 105/30 using Prime Factors
Another method to reduce the fraction 105/30 to its simplest form is to use the Prime Factors of numerator [105] and denominator [30].
Prime Factors of 105: 3,5,7
Prime Factors of 30: 2,3,5
Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:
Simplifying Fraction 105/30 by Dividing by the Smallest Possible Number
In order to simplify our fraction we can start dividing both the numerator [105] and denominator [30] 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 |
---|---|
105/15 | 7/1 |
105/16 | 105/16 |
105/17 | 105/17 |
105/18 | 35/6 |
105/19 | 105/19 |
105/20 | 21/4 |
105/21 | 5/1 |
105/22 | 105/22 |
105/23 | 105/23 |
105/24 | 35/8 |
105/25 | 21/5 |
105/26 | 105/26 |
105/27 | 35/9 |
105/28 | 15/4 |
105/29 | 105/29 |
105/30 | 7/2 |
105/31 | 105/31 |
105/32 | 105/32 |
105/33 | 35/11 |
105/34 | 105/34 |
105/35 | 3/1 |
105/36 | 35/12 |
105/37 | 105/37 |
105/38 | 105/38 |
105/39 | 35/13 |
105/40 | 21/8 |
105/41 | 105/41 |
105/42 | 5/2 |
105/43 | 105/43 |
105/44 | 105/44 |