Trying to discover out just how to convert 17/6 into a blended number or fraction? have I got the answer for you! In this guide, we"ll go you v the step-by-step process of converting an improper fraction, in this instance 17/6, come a combined number. Check out on!


Want to easily learn or display students how to convert 17/6 come a combined number? pat this very quick and fun video now!


Before us begin, let"s revisit some basic portion terms so friend understand precisely what we"re handling here:

Numerator. This is the number above the portion line. For 17/6, the molecule is 17.Denominator. This is the number listed below the portion line. Because that 17/6, the denominator is 6.Improper fraction. This is a fraction where the numerator is better than the denominator.Mixed number. This is a method of expressing an improper fraction by simple it to totality units and a smaller all at once fraction. It"s an integer (whole number) and a suitable fraction.

You are watching: 17 6 as a mixed number

Now let"s go v the measures needed to transform 17/6 to a combined number.

Step 1: uncover the whole number

We first want to discover the entirety number, and to execute this we divide the molecule by the denominator. Because we are just interested in whole numbers, we ignore any kind of numbers come the best of the decimal point.

17/6= 2.8333333333333 = 2

Now that we have actually our whole number because that the combined fraction, we require to uncover our new numerator because that the portion part that the blended number.

Step 2: gain the new numerator

To occupational this out we"ll use the entirety number we calculated in step one (2) and also multiply it by the initial denominator (6). The an outcome of that multiplication is climate subtracted native the initial numerator:

17 - (6 x 2) = 5

Step 3: Our blended fraction

We"ve now simplified 17/6 to a combined number. To view it, we simply need to put the entirety number together with our new numerator and also original denominator:


2 5/6

Step 4: simple our fraction

In this case, our portion (5/6) have the right to be simplified down further. In stimulate to perform that, we need to calculate the GCF (greatest typical factor) the those 2 numbers. You have the right to use our comfortable GCF calculator to occupational this out yourself if you want to. We currently did that, and the GCF that 5 and also 6 is 1.

We have the right to now division both the brand-new numerator and the denominator by 1 to leveling this fraction down come its lowest terms.

5/1 = 5

6/1 = 6

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


2 5/6

Hopefully this tutorial has actually helped you to understand exactly how to convert any type of improper fraction you have actually into a mixed fraction, complete with a whole number and a suitable fraction. You"re free to use our calculator listed below to work-related out more, but do try and learn how to carry out it yourself. It"s an ext fun than it seems, ns promise!

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