Is 2/3 Greater Than 6/7?
Are you looking to calculate whether 2/3 is greater than 6/7? 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 2/3 is bigger than 6/7 and walk you through the step-by-process of how the calculation is made.
Want to quickly learn or show students how to compare 2/3 and 6/7? Play this very quick and fun video now!
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.
Depending on the math problem you want to solve, there are two methods to calculate if 2/3 is larger than 6/7:
Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 2/3 and 6/7 side by side so they are easier to see:
Our denominators are 3 and 7. 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 3 and 7. In this case, the lowest common denominator is 21.
If we multiply the first denominator (3) by 7 we will get 21. If we multiply the second denominator (7) by 3 we will also get 21. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:
This is what 2/3 and 6/7 looks 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 14 is NOT greater than 18 which also means that 2/3 is NOT greater than 6/7.
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:
Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.6667 is NOT greater than 0.8571 which also means that 2/3 is NOT greater than 6/7.
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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