Is 3/5 Less Than 6/7?
Are you looking to calculate whether 3/5 is less 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 3/5 is smaller 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 3/5 and 6/7? Play this very quick and fun video now!
A quick reminder on fractions before we start: the number at the top of the fraction is called the numerator and the number at the bottom of the fraction line is called the denominator.
There are two methods to calculate if 3/5 is smaller than 6/7 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 3/5 and 6/7 side by side so they are easier to see:
Our denominators are 5 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 5 and 7. In this case, the lowest common denominator is 35.
If we multiply the first denominator (5) by 7 we will get 35. If we multiply the second denominator (7) by 5 we will also get 35. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:
This is what 3/5 and 6/7 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 21 is less than 30 which also means that 3/5 is less 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. 0.6 is less than 0.8571 which also means that 3/5 is less 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 less than another or not!
Cite, Link, or Reference This Page
If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
"Is 3/5 less than 6/7?". VisualFractions.com. Accessed on May 29, 2022. http://visualfractions.com/calculator/compare-fractions/is-3-5-less-than-6-7/.
"Is 3/5 less than 6/7?". VisualFractions.com, http://visualfractions.com/calculator/compare-fractions/is-3-5-less-than-6-7/. Accessed 29 May, 2022.
Is 3/5 less than 6/7?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/compare-fractions/is-3-5-less-than-6-7/.
Preset List of Calculations
Below are links to some preset calculations that are commonly searched for: