Final answer:
To compare 5/8 and 4/5, find a common denominator which gives us 25/40 and 32/40 respectively. Since 25 is less than 32, we determine that 5/8 is less than 4/5.
Step-by-step explanation:
To compare the fractions 5/8 and 4/5, we can convert them to have a common denominator or compare their decimal equivalents. To find a common denominator, we can multiply the denominators 8 and 5 to get 40. Then, we adjust the numerators accordingly:
- For 5/8, we multiply both the numerator and denominator by 5 to get 25/40.
- For 4/5, we multiply both the numerator and denominator by 8 to get 32/40.
Now we compare 25/40 and 32/40. Since 25 is less than 32, 5/8 is less than 4/5. Therefore, the correct inequality sign to fill in the blank is '<'.
So, the answer is 5/8 < 4/5.