Trying to discover out just how to transform 13/4 right into a combined number or fraction? have I obtained the answer because that you! In this guide, we"ll go you through the step-by-step procedure of converting an improper fraction, in this case 13/4, to a blended number. Review on!


Want to conveniently learn or present students just how to convert 13/4 to a mixed number? play this very quick and also fun video clip now!


Before us begin, let"s revisit some basic portion terms so you understand exactly what we"re managing here:

Numerator. This is the number above the portion line. For 13/4, the molecule is 13.Denominator. This is the number listed below the portion line. For 13/4, the denominator is 4.Improper fraction. This is a portion where the numerator is higher than the denominator.Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and also a smaller as whole fraction. It"s an creature (whole number) and also a suitable fraction.

You are watching: 13 4 as a mixed number

Now let"s go with the actions needed to convert 13/4 come a mixed number.

Step 1: find the whole number

We an initial want to uncover the entirety number, and to do this we division the molecule by the denominator. Due to the fact that we are only interested in whole numbers, us ignore any kind of numbers come the ideal of the decimal point.

13/4= 3.25 = 3

Now the we have our totality number for the mixed fraction, we require to uncover our brand-new numerator because that the fraction part of the combined number.

Step 2: acquire the brand-new numerator

To work-related this out we"ll use the totality number us calculated in step one (3) and multiply that by the initial denominator (4). The result of that multiplication is climate subtracted from the initial numerator:

13 - (4 x 3) = 1

Step 3: Our combined fraction

We"ve now simplified 13/4 to a mixed number. To watch it, we just need to put the totality number together with our brand-new numerator and also original denominator:


3 1/4

Step 4: simple our fraction

In this case, our portion (1/4) can be streamlined down further. In order to perform that, we have to calculate the GCF (greatest typical factor) the those two numbers. You can use our handy GCF calculator to work this the end yourself if you want to. We currently did that, and also the GCF of 1 and also 4 is 1.

We can now divide both the new numerator and also the denominator by 1 to leveling this fraction down come its lowest terms.

1/1 = 1

4/1 = 4

When we put that together, we can see the our finish answer is:


3 1/4

Hopefully this tutorial has helped you come understand how to convert any type of improper portion you have into a mixed fraction, finish with a whole number and also a suitable fraction. You"re cost-free to usage our calculator listed below to work out more, but do try and learn exactly how to carry out it yourself. It"s much more fun than it seems, i promise!

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Improper portion to Mixed fraction Calculator


Improper portion to blended Number

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