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Which of the numbers 3 / 5 and 3 / 6 is greater?
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One way to compare the two fractions would be to both have the same denominator, so that numerators will be easily compared.
The common denominator of 5 and 6 is 5*6=30.
In order to obtain the common denominator, the first ratio will be amplified with 6 and the second ratio will be multiplied with 5.
3 / 5 and 3 / 6
3*6/5*6 and 3*5/6*5
18/30 and 15/30
0.6 and 0.5
0.6 > 0.5
So 0.6=3/5 is bigger.
Another way to compare would be to consider the rule that if the same number is divided by more consecutive numbers, differen as size, the smaller result would be found from dividing the number to the the biggest of these numbers and the smallest result, from dividing to the smallest of these numbers.
In our case, the biggest is 3 / 5, because 3 is divided by the lowest.
Posted by giorgiana1976 on February 25, 2010 at 11:06 PM (Answer #1)
When the numerator of two fractions are same, then the fraction with smaller denominator is greater.
I this question the two fractions are, 3/5 and 3/6. They have a common numerator, that is 3. Therefore we can directly conclude that fraction with smaller denominator is greater of the two.
Thus 3/5 is greater than 3/6.
Posted by krishna-agrawala on February 25, 2010 at 11:14 PM (Answer #2)
we solve it mathematically;
also we have
Posted by amitparmar on February 26, 2010 at 4:41 AM (Answer #3)
High School Teacher
3/6 can be reduced to 1/2 which is 0.5
3/5 can be changed to 6/10 which is 0.6
3/5 is greater than 3/6 because 0.6 is greater than 0.5
Posted by sheryll-pickett on March 30, 2010 at 5:13 AM (Answer #4)
Clearly, 3/5 is greater than 3/6. You may figure this out mathematically or you may figure it out simply by logic.
By logic, look at what a these fractions mean. In three fifths, you are taking three and dividing it five times. In 3/6, you are taking the same three and dividing it six times. If you cut a pie in five pieces, the slices will be bigger than if you cut it in six pieces. Therefore 3/5 is greater.
You can figure this mathematically as well. The least common multiple of 6 and 5 is 30 so we will make both into fractions with 30 on the bottom.
We multiply the first fraction by 6 and get 18/30 and we multiply the second by 5 and get 15/30. 18 is more than 15, so the first number is greater.
Posted by pohnpei397 on February 25, 2010 at 11:03 PM (Answer #5)
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since the L.C.M of 5 and 6 is 30
we will make both the denominators 30
3 /5 = 3*6/5*6 = 18/30
3/6 = 3*5/6*5 = 15/30
On comparing the numerators we find,
so, 18/30 > 15/30
therefore 3/5 > 3/6
Posted by rnk on June 18, 2010 at 5:15 PM (Answer #7)
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