To compare the two fractions, we need to make sure they have the same denominator. To do this, we find the least common multiple of 8 and 5, which is 40.
So, we rewrite the fractions with the common denominator of 40:
8 = 8 5 / 5 5 = 40 / 5
5/b = 8 b / 8 b = 8b / 8
Now we compare the fractions:
40 / 5 > 8b / 8 8 > 8b
Dividing both sides by 8:
1 > b
Therefore, b must be less than 1 for 8 / b to be smaller than 5.
To compare the two fractions, we need to make sure they have the same denominator. To do this, we find the least common multiple of 8 and 5, which is 40.
So, we rewrite the fractions with the common denominator of 40:
8 = 8 5 / 5 5 = 40 / 5
5/b = 8 b / 8 b = 8b / 8
Now we compare the fractions:
40 / 5 > 8b / 8
8 > 8b
Dividing both sides by 8:
1 > b
Therefore, b must be less than 1 for 8 / b to be smaller than 5.