Final answer:
Comparing 5/8 and 4/10 using benchmark fractions shows that 5/8 is greater than 4/10 since 5/8 is more than 1/2 and 4/10 is less than 1/2.
Step-by-step explanation:
To compare 5/8 and 4/10 using benchmark fractions, we consider that 5/8 is more than 1/2 (which is 4/8) and less than 3/4 (which is 6/8), putting it between 0.5 and 0.75.
On the other hand, 4/10 is less than 1/2 (since 1/2 is 5/10) and is exactly 0.4 when converted to a decimal.
Since 0.5 (the value of 1/2) is greater than 0.4, we can readily conclude that 5/8 is greater than 4/10.