Trying to discover out just how to transform 41/6 into a combined number or fraction? have actually I obtained the answer because that you! In this guide, we"ll go you with the step-by-step procedure of converting an not correct fraction, in this instance 41/6, come a blended number. Review on!

Want to easily learn or present students how to transform 41/6 to a mixed number? beat this very quick and also fun video clip now!

Before we begin, let"s revisit some basic fraction terms so friend understand specifically what we"re handling here:

Numerator. This is the number over the portion line. For 41/6, the numerator is 41.Denominator. This is the number listed below the fraction line. Because that 41/6, the denominator is 6.Improper fraction. This is a portion where the molecule is greater than the denominator.Mixed number. This is a method of expressing an improper fraction by simplifying it to totality units and a smaller in its entirety fraction. It"s an creature (whole number) and also a appropriate fraction.

You are watching: 41/6 as a mixed number

Now let"s go with the measures needed to transform 41/6 come a blended number.

Step 1: discover the whole number

We an initial want to find the whole number, and also to perform this we divide the molecule by the denominator. Since we are just interested in whole numbers, us ignore any type of numbers come the ideal of the decimal point.

41/6= 6.8333333333333 = 6

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

Step 2: gain the brand-new numerator

To job-related this out we"ll usage the totality number we calculated in step one (6) and multiply it by the original denominator (6). The result of the multiplication is then subtracted from the original numerator:

41 - (6 x 6) = 5

Step 3: Our combined fraction

We"ve currently simplified 41/6 to a blended number. To check out it, we simply need to put the totality number along with our new numerator and original denominator:

6 5/6

Step 4: simplifying our fraction

In this case, our portion (5/6) have the right to be simplified down further. In order to carry out that, we have to calculate the GCF (greatest common factor) that those two numbers. You deserve to use our comfortable GCF calculator to work this out yourself if you want to. We already did that, and also the GCF of 5 and also 6 is 1.

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

5/1 = 5

6/1 = 6

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

6 5/6

Hopefully this tutorial has actually helped you to understand exactly how to convert any improper fraction you have actually into a blended fraction, complete with a entirety number and a ideal fraction. You"re complimentary to usage our calculator below to work out more, but do shot and learn how to execute it yourself. It"s much more fun than it seems, ns promise!

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