Solve 3/13 < 4/5

To solve the inequality 3/13 < 4/5, we need to compare the two fractions.

One way to compare fractions is to find a common denominator. In this case, the common denominator is 13 * 5 = 65.

Now, let's convert both fractions to have a denominator of 65:

3/13 = (3 * 5)/(13 * 5) = 15/65

4/5 = (4 * 13)/(5 * 13) = 52/65

Now that both fractions have the same denominator, we can compare their numerators:

15/65 < 52/65

Since the numerators are both positive and the denominator is the same, the inequality remains the same.

Therefore, 3/13 is indeed less than 4/5.