Trying to find out exactly how to convert 31/8 into a blended number or fraction? have I obtained the answer for you! In this guide, we"ll go you v the step-by-step process of convert an improper fraction, in this situation 31/8, come a blended number. Check out on!

Want to easily learn or show students just how to transform 31/8 to a mixed number? play this very quick and also fun video clip now!

Before we begin, let"s revisit part basic portion terms so friend understand specifically what we"re dealing with here:

Numerator. This is the number above the fraction line. Because that 31/8, the numerator is 31.Denominator. This is the number below the portion line. Because that 31/8, the denominator is 8.Improper fraction. This is a fraction where the molecule is higher than the denominator.Mixed number. This is a means of expressing an improper portion by simple it to totality units and a smaller in its entirety fraction. It"s an integer (whole number) and also a suitable fraction.

You are watching: 31 8 as a mixed number

Now let"s go through the actions needed to transform 31/8 to a blended number.

Step 1: uncover the whole number

We an initial want to uncover the whole number, and to carry out this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any type of numbers come the right of the decimal point.

31/8= 3.875 = 3

Now that we have actually our entirety number for the blended fraction, we need to uncover our new numerator for the fraction part the the mixed number.

Step 2: acquire the brand-new numerator

To work-related this the end we"ll usage the entirety number we calculated in step one (3) and multiply the by the initial denominator (8). The an outcome of that multiplication is then subtracted native the original numerator:

31 - (8 x 3) = 7

Step 3: Our blended fraction

We"ve now simplified 31/8 to a blended number. To check out it, we simply need to put the whole number in addition to our brand-new numerator and original denominator:

3 7/8

Step 4: simplifying our fraction

In this case, our fraction (7/8) can be streamlined down further. In bespeak to do that, we should calculate the GCF (greatest typical factor) that those two numbers. You have the right to use our comfortable GCF calculator to occupational this out yourself if you desire to. We already did that, and the GCF the 7 and also 8 is 1.

We can now division both the new numerator and the denominator through 1 to simplify this portion down to its shortest terms.

7/1 = 7

8/1 = 8

When we placed that together, we have the right to see the our finish answer is:

3 7/8

Hopefully this tutorial has helped you to understand how to convert any kind of improper portion you have into a combined fraction, finish with a whole number and also a ideal fraction. You"re complimentary to use our calculator listed below to work-related out more, however do shot and learn how to execute it yourself. It"s an ext fun than it seems, i promise!

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