Trying to uncover out how to convert 31/4 right into a mixed number or fraction? have actually I obtained the answer because that you! In this guide, we"ll go you through the step-by-step process of convert an wrong fraction, in this situation 31/4, come a combined number. Review on!

Want to quickly learn or display students just how to transform 31/4 come a blended number? pat this very quick and also fun video now!

Before us begin, let"s revisit part basic fraction terms so you understand precisely what we"re managing here:

Numerator. This is the number above the portion line. For 31/4, the molecule is 31.Denominator. This is the number below the portion line. For 31/4, the denominator is 4.Improper fraction. This is a fraction where the molecule is better than the denominator.Mixed number. This is a way of express an improper portion by simple it to entirety units and also a smaller as whole fraction. It"s an creature (whole number) and also a suitable fraction.

You are watching: 31/4 as a mixed number

Now let"s go through the actions needed to convert 31/4 come a mixed number.

Step 1: find the totality number

We first want to find the entirety number, and also to perform this we divide the numerator by the denominator. Because we are just interested in whole numbers, we ignore any numbers come the ideal of the decimal point.

31/4= 7.75 = 7

Now the we have actually our entirety number because that the combined fraction, we require to uncover our new numerator because that the fraction part of the mixed number.

Step 2: acquire the brand-new numerator

To work this the end we"ll use the entirety number we calculated in action one (7) and multiply that by the original denominator (4). The an outcome of the multiplication is then subtracted from the initial numerator:

31 - (4 x 7) = 3

Step 3: Our blended fraction

We"ve now simplified 31/4 to a blended number. To see it, we simply need to placed the whole number in addition to our new numerator and original denominator:

7 3/4

Step 4: simplifying our fraction

In this case, our fraction (3/4) deserve to be simplified down further. In order to carry out that, we should calculate the GCF (greatest common factor) the those two numbers. You have the right to use our comfortable GCF calculator to work-related this out yourself if you desire to. We already did that, and the GCF the 3 and 4 is 1.

We have the right to now divide both the new numerator and also the denominator by 1 to leveling this fraction down to its shortest terms.

3/1 = 3

4/1 = 4

When we placed that together, we can see the our complete answer is:

7 3/4

Hopefully this tutorial has helped you to understand just how to convert any kind of improper fraction you have actually into a mixed 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, but do try and learn how to carry out it yourself. It"s more fun 보다 it seems, i promise!

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