1000/729 Simplified
What is 1000/729 Simplified?
The fraction 1000/729 is already in the simplest form, so it isn't possible to reduce it any further - numerator 1000 and denominator 729 have no common factors other than 1 (one)
Since the numerator [1000] is greater than the denominator [729] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:
Simplifying Fraction 1000/729 using GCF
The first way to simplify the fraction 1000/729 is to use the Greatest Common Factor (GCF) of our numerator [1000] and denominator [729].
GCF of 1000 and 729 is 1
And then divide both the numerator [1000] and denominator [729] by the GCF [1].
Simplifying Fraction 1000/729 using Prime Factors
Another method to reduce the fraction 1000/729 to its simplest form is to use the Prime Factors of numerator [1000] and denominator [729].
Prime Factors of 1000: 2,2,2,5,5,5
Prime Factors of 729: 3,3,3,3,3,3
Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:
Simplifying Fraction 1000/729 by Dividing by the Smallest Possible Number
In order to simplify our fraction we can start dividing both the numerator [1000] and denominator [729] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.
In our case (1000/729) there is no possible numbers to divide our numerator and denominator.
Fraction Simplification Table
Fraction | Lowest Terms |
---|---|
1000/714 | 500/357 |
1000/715 | 200/143 |
1000/716 | 250/179 |
1000/717 | 1000/717 |
1000/718 | 500/359 |
1000/719 | 1000/719 |
1000/720 | 25/18 |
1000/721 | 1000/721 |
1000/722 | 500/361 |
1000/723 | 1000/723 |
1000/724 | 250/181 |
1000/725 | 40/29 |
1000/726 | 500/363 |
1000/727 | 1000/727 |
1000/728 | 125/91 |
1000/729 | 1000/729 |
1000/730 | 100/73 |
1000/731 | 1000/731 |
1000/732 | 250/183 |
1000/733 | 1000/733 |
1000/734 | 500/367 |
1000/735 | 200/147 |
1000/736 | 125/92 |
1000/737 | 1000/737 |
1000/738 | 500/369 |
1000/739 | 1000/739 |
1000/740 | 50/37 |
1000/741 | 1000/741 |
1000/742 | 500/371 |
1000/743 | 1000/743 |