Is 1/16 Less Than 6/78?
Are you looking to calculate whether 1/16 is less than 6/78? 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 1/16 is smaller than 6/78 and walk you through the step-by-process of how the calculation is made.
There are two methods to calculate if 1/16 is smaller than 6/78 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 1/16 and 6/78 side by side so they are easier to see:
Our denominators are 16 and 78. 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 16 and 78. In this case, the lowest common denominator is 624.
If we multiply the first denominator (16) by 39 we will get 624. If we multiply the second denominator (78) by 8 we will also get 624. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:
This is what 1/16 and 6/78 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 39 is less than 48 which also means that 1/16 is less than 6/78.
Converting to Decimal
Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.0625 is less than 0.0769 which also means that 1/16 is less than 6/78.