Trying to uncover out just how to convert 45/8 into a mixed number or fraction? have I gained the answer because that you! In this guide, we"ll walk you with the step-by-step procedure of converting an improper fraction, in this instance 45/8, to a mixed number. Review on!

Want to easily learn or display students how to convert 45/8 to a mixed number? beat this very quick and fun video clip now!

Before we begin, let"s revisit some basic portion terms so you understand precisely what we"re taking care of here:

Numerator. This is the number over the portion line. For 45/8, the molecule is 45.Denominator. This is the number listed below the fraction line. For 45/8, the denominator is 8.Improper fraction. This is a fraction where the numerator is higher than the denominator.Mixed number. This is a means of express an improper fraction by simple it to totality units and also a smaller all at once fraction. It"s an integer (whole number) and also a appropriate fraction.

You are watching: 45/8 as a mixed number

Now let"s go through the measures needed to transform 45/8 come a combined number.

Step 1: discover the totality number

We first want to find the totality number, and also to execute this we divide the molecule by the denominator. Since we are just interested in whole numbers, we ignore any numbers to the appropriate of the decimal point.

45/8= 5.625 = 5

Now the we have our totality number for the mixed fraction, we need to uncover our new numerator because that the portion part the the blended number.

Step 2: gain the new numerator

To work this the end we"ll use the entirety number we calculated in step one (5) and also multiply it by the original denominator (8). The an outcome of that multiplication is climate subtracted from the original numerator:

45 - (8 x 5) = 5

Step 3: Our combined fraction

We"ve currently simplified 45/8 to a blended number. To see it, we simply need to placed the entirety number along with our new numerator and also original denominator:

5 5/8

Step 4: simple our fraction

In this case, our fraction (5/8) can be simplified down further. In order to do that, we have to calculate the GCF (greatest usual factor) that those 2 numbers. You deserve to use our comfortable GCF calculator to job-related this out yourself if you want to. We currently did that, and also the GCF the 5 and 8 is 1.

We have the right to now divide both the brand-new numerator and the denominator through 1 to simplify this fraction down to its shortest terms.

5/1 = 5

8/1 = 8

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

5 5/8

Hopefully this tutorial has actually helped you come understand how to convert any improper portion you have actually into a mixed fraction, finish with a entirety number and a appropriate fraction. You"re complimentary to use our calculator below to work out more, yet do shot and learn exactly how to carry out it yourself. It"s an ext fun than it seems, ns promise!

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