Which is greater two fourths or three fifths?

Answer 1

Three-fifths is greater than two-fourths.

There are two ways to answer the question. The first, which may be easier in the circumstance, is to convert the fractions to decimal values.

two-fourths when simplified is equal to one-half or 0.5

three-fifths is equal to 0.6

Since 0.6 > 0.5, three-fifths is greater than two-fourths.

The other way to answer the question is to find a common denominator for the fractions.

First, one would simplify both fractions as follows:

2/4 -> 1/2

3/5 -> 3/5 (already simplified)

Next, one would need to find the least common multiple for the denominators, in this case 2 and 5. Using brute force as follows:

2, 4, 6, 8, 10, 12, 14, ...

5, 10, 15, ...

10 is the least common multiple, so the fractions would be adjusted to have 10 as the shared denominator as follows:

1/2 * 5/5 = 5/10

3/5 * 2/2 = 6/10

Since 6/10 is greater than 5/10, three-fifths is greater than two-fourths.