Which is greater two thirds or three fifths?

Answer 1

Two thirds are greater than three fifths.

In order to answer this we have to convert both fractions into a common form to see which is bigger. To do this:

* multiply the denominator (the number at the bottom of a fraction) of each fraction together to get a new 'common' denominator.

* divide the new common denominator by the old denominator and multiply the result by the numerator (the number at the top) of the fraction you are converting to get a new numerator.

So if we do this our common denominator is 15 (3 times 5). We can then convert two thirds in to fifteenths by dividing 15 by 3 (=5) and multiplying by 2 (=10). Thus 2/3 = 10/15.

When we do this for three fifths we get: 15 divided by 5 times 3 = 9.

Thus 3/5 equals 9/15.

Therefore 2/3 is greater than 3/5 as 10/15 is greater than 9/15.