Is 1/6 Less Than 51/75?
Are you looking to calculate whether 1/6 is less than 51/75? 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 51/75 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 51/75 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 51/75 side by side so they are easier to see:
Our denominators are 6 and 75. 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 75. In this case, the lowest common denominator is 150.
If we multiply the first denominator (6) by 25 we will get 150. If we multiply the second denominator (75) by 2 we will also get 150. 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 51/75 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 25 is less than 102 which also means that 1/6 is less than 51/75.
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 0.68 which also means that 1/6 is less than 51/75.