Trying to discover out exactly how to transform 31/6 right into a combined number or fraction? have actually I obtained the answer because that you! In this guide, we"ll to walk you through the step-by-step process of converting an not correct fraction, in this situation 31/6, to a mixed number. Check out on!


Want to conveniently learn or show students just how to convert 31/6 to a blended number? pat this an extremely quick and fun video clip now!


Before we begin, let"s revisit some basic fraction terms so you understand specifically what we"re managing here:

Numerator. This is the number over the fraction line. Because that 31/6, the molecule is 31.Denominator. This is the number listed below the portion line. For 31/6, the denominator is 6.Improper fraction. This is a portion where the molecule is better than the denominator.Mixed number. This is a means of to express an improper fraction by simplifying it to whole units and a smaller in its entirety fraction. It"s an essence (whole number) and also a ideal fraction.

You are watching: 31 6 as a mixed number

Now let"s go v the measures needed to convert 31/6 to a combined number.

Step 1: uncover the entirety number

We first want to discover the whole number, and also to do this we divide the numerator by the denominator. Because we are just interested in whole numbers, we ignore any numbers to the appropriate of the decimal point.

31/6= 5.1666666666667 = 5

Now the we have our totality number because that the blended fraction, we need to discover our new numerator because that the portion part the the combined number.

Step 2: obtain the new numerator

To job-related this the end we"ll usage the totality number we calculated in step one (5) and also multiply the by the initial denominator (6). The an outcome of that multiplication is then subtracted indigenous the original numerator:

31 - (6 x 5) = 1

Step 3: Our combined fraction

We"ve currently simplified 31/6 come a blended number. To check out it, we simply need to put the entirety number together with our new numerator and also original denominator:


5 1/6

Step 4: simplifying our fraction

In this case, our fraction (1/6) have the right to be streamlined down further. In stimulate to do that, we must calculate the GCF (greatest usual factor) of those 2 numbers. You deserve to use our handy GCF calculator to work-related this the end yourself if you want to. We currently did that, and the GCF of 1 and 6 is 1.

See more: What Is The Zero Property Of Multiplication, Zero Property Of Multiplication

We deserve to now division both the brand-new numerator and also the denominator by 1 to simplify this portion down come its lowest terms.

1/1 = 1

6/1 = 6

When we put that together, we deserve to see that our finish answer is:


5 1/6

Hopefully this tutorial has helped you to understand how to convert any type of improper fraction you have into a blended fraction, complete with a totality number and a appropriate fraction. You"re totally free to usage our calculator listed below to occupational out more, but do shot and learn just how to execute it yourself. It"s much more fun 보다 it seems, i promise!

Improper portion to Mixed fraction Calculator


Improper fraction to combined Number

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