Is 1/6 Less Than 32/45?

Are you looking to calculate whether 1/6 is less than 32/45? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 1/6 is smaller than 32/45 and walk you through the step-by-process of how the calculation is made.


There are two methods to calculate if 1/6 is smaller than 32/45 and which one you use will depend on the problem you're trying to solve:

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 1/6 and 32/45 side by side so they are easier to see:

Converting Denominator

1 / 6 & 32 / 45



1 x 15 / 6 x 15 32 x 2 / 45 x 2

This is what 1/6 and 32/45 look like with the same denominator:

15 / 90 & 64 / 90

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 15 is less than 64 which also means that 1/6 is less than 32/45.

Converting to Decimal


1/6 = 0.1667
32/45 = 0.7111

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.1667 is less than 0.7111 which also means that 1/6 is less than 32/45.
