Are you looking to calculate whether 1/3 is greater than 2/3? 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 1/3 is bigger than 2/3 and walk you through the step-by-process of how the calculation is made.
As we always do in these tutorials, let’s recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.
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Depending on the math problem you want to solve, there are two methods to calculate if 1/3 is larger than 2/3:
- Convert the fractions to have the same denominator
- Convert the fractions to a decimal number
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Let’s start with the first method: converting the fractions to the same denominator. First, we’ll set up 1/3 and 2/3 side by side so they are easier to see:
Converting Denominator
As you can see, the denominator is the same for both fractions already, so we don’t need to convert either fraction. All we need to do is look at the numerators above the fraction line.
We can clearly see by looking at the numerators that 1 is NOT greater than 2 which also means that 1/3 is NOT greater than 2/3.
Converting to Decimal
You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:
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Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.3333 is NOT greater than 0.6667 which also means that 1/3 is NOT greater than 2/3.
Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!
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