Which fraction is greater than 2/5 and less than 3/5?

To determine which fraction is greater than 2/5 and less than 3/5, we can begin by converting the fractions to a common denominator for easier comparison.

The fractions 2/5 and 3/5 can be expressed as decimals:

• 2/5 = 0.4

• 3/5 = 0.6

Now, we check each option to see if it falls between these two decimal values.

For 3/8:

• When we convert 3/8 to a decimal, we divide 3 by 8, resulting in 0.375.

• This value is less than 0.4, hence it does not meet the criteria of being greater than 2/5.

For 3/7:

• Dividing 3 by 7 gives approximately 0.4286.

• Since 0.4286 is greater than 0.4 and less than 0.6, this fraction indeed fits between 2/5 and 3/5.

When we look at the other fractions:

• 1/4 converts to 0.25, which is less than 2/5.

• 5/8 converts to 0.