Is 19/32 Greater Than 3/4?

Are you looking to calculate whether 19/32 is greater than 3/4? 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 19/32 is bigger than 3/4 and walk you through the step-by-process of how the calculation is made.

Want to quickly learn or show students how to compare 19/32 and 3/4? 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 19/32 is larger than 3/4:

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 19/32 and 3/4 side by side so they are easier to see:

Converting Denominator

19 / 32 & 3 / 4

Our denominators are 32 and 4. 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 32 and 4. In this case, the lowest common denominator is 32.

If we multiply the first denominator (32) by 1 we will get 32. If we multiply the second denominator (4) by 8 we will also get 32. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

19 x 1 / 32 x 1 3 x 8 / 4 x 8

This is what 19/32 and 3/4 looks like with the same denominator:

19 / 32 & 24 / 32

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 19 is NOT greater than 24 which also means that 19/32 is NOT greater than 3/4.

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:

19/32 = 0.5938
3/4 = 0.75

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.5938 is NOT greater than 0.75 which also means that 19/32 is NOT greater than 3/4.

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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