300/70 Simplified
What is 300/70 Simplified?
30/7 is the simplified fraction of 300/70.
Since the numerator [300] is greater than the denominator [70] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:
Simplifying Fraction 300/70 using GCF
The first way to simplify the fraction 300/70 is to use the Greatest Common Factor (GCF) of our numerator [300] and denominator [70].
GCF of 300 and 70 is 10
And then divide both the numerator [300] and denominator [70] by the GCF [10].
Simplifying Fraction 300/70 using Prime Factors
Another method to reduce the fraction 300/70 to its simplest form is to use the Prime Factors of numerator [300] and denominator [70].
Prime Factors of 300: 2,2,3,5,5
Prime Factors of 70: 2,5,7
Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:
Simplifying Fraction 300/70 by Dividing by the Smallest Possible Number
In order to simplify our fraction we can start dividing both the numerator [300] and denominator [70] 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 |
---|---|
300/55 | 60/11 |
300/56 | 75/14 |
300/57 | 100/19 |
300/58 | 150/29 |
300/59 | 300/59 |
300/60 | 5/1 |
300/61 | 300/61 |
300/62 | 150/31 |
300/63 | 100/21 |
300/64 | 75/16 |
300/65 | 60/13 |
300/66 | 50/11 |
300/67 | 300/67 |
300/68 | 75/17 |
300/69 | 100/23 |
300/70 | 30/7 |
300/71 | 300/71 |
300/72 | 25/6 |
300/73 | 300/73 |
300/74 | 150/37 |
300/75 | 4/1 |
300/76 | 75/19 |
300/77 | 300/77 |
300/78 | 50/13 |
300/79 | 300/79 |
300/80 | 15/4 |
300/81 | 100/27 |
300/82 | 150/41 |
300/83 | 300/83 |
300/84 | 25/7 |