Answer: No
Step-by-step explanation: Notice that the fractions that we're comparing in this problem have different denominators. When fractions have different denominators, they're called unlike fractions.
To compare unlike fractions, we must first get a common denominator.
The common denominator of 15 and 5 will be the
least common multiple of 15 and 5 or 15.
Notice that 8/15 already has a 15 in the
denominators so it stays the same.
To get a 15 in the denominator of 2/5, we multiply the numerator and the denominator by 3 which gives us 6/15.
Notice that we now have like fractions, 8/15 and 6/15, since both fractions have a 15 in the denominator.
To compare like fractions, we simply look at the numerators.
Here, since 8 is greater than 6, 8/15 is greater than 6/15.
This means that 8/15 is greater than 2/5.
So no, 8/15 is not less than 2/5.