Is 1/6 Less Than 24/26?

Are you looking to calculate whether 1/6 is less than 24/26? 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 24/26 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 24/26 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 24/26 side by side so they are easier to see:

Converting Denominator

1 / 6 & 24 / 26

Our denominators are 6 and 26. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 6 and 26. In this case, the lowest common denominator is 78.

If we multiply the first denominator (6) by 13 we will get 78. If we multiply the second denominator (26) by 3 we will also get 78. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

1 x 13 / 6 x 13 24 x 3 / 26 x 3

This is what 1/6 and 24/26 look like with the same denominator:

13 / 78 & 72 / 78

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 13 is less than 72 which also means that 1/6 is less than 24/26.

Converting to Decimal


1/6 = 0.1667
24/26 = 0.9231

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.1667 is less than 0.9231 which also means that 1/6 is less than 24/26.
