Is 1/6 Less Than 89/32?
Are you looking to calculate whether 1/6 is less than 89/32? 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 89/32 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 89/32 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 89/32 side by side so they are easier to see:
Our denominators are 6 and 32. 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 32. In this case, the lowest common denominator is 96.
If we multiply the first denominator (6) by 16 we will get 96. If we multiply the second denominator (32) by 3 we will also get 96. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:
This is what 1/6 and 89/32 look like with the same denominator:
Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 16 is less than 267 which also means that 1/6 is less than 89/32.
Converting to Decimal
Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.1667 is less than 2.7813 which also means that 1/6 is less than 89/32.