Trying to find out exactly how to convert 41/7 right into a combined number or fraction? have I acquired the answer because that you! In this guide, we"ll go you with the step-by-step procedure of converting an wrong fraction, in this instance 41/7, come a mixed number. Review on!

Want to conveniently learn or present students exactly how to convert 41/7 come a blended number? play this an extremely 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. Because that 41/7, the numerator is 41.Denominator. This is the number listed below the portion line. For 41/7, the denominator is 7.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 simple it to entirety units and a smaller all at once fraction. It"s an integer (whole number) and also a appropriate fraction.

You are watching: 41/7 as a mixed number

Now let"s go with the steps needed to convert 41/7 to a mixed number.

Step 1: uncover the entirety number

We first want to find the whole number, and also to execute this we division the numerator by the denominator. Since we are only interested in whole numbers, we ignore any type of numbers come the ideal of the decimal point.

41/7= 5.8571428571429 = 5

Now the we have our whole number for the combined fraction, we need to discover our new numerator for the portion part of the combined number.

Step 2: get the new numerator

To work this the end we"ll usage the totality number we calculated in step one (5) and multiply that by the initial denominator (7). The result of that multiplication is then subtracted from the initial numerator:

41 - (7 x 5) = 6

Step 3: Our blended fraction

We"ve currently simplified 41/7 come a mixed number. To check out it, we just need to placed the entirety number along with our new numerator and original denominator:

5 6/7

Step 4: simplifying our fraction

In this case, our fraction (6/7) can be streamlined down further. In bespeak to perform that, we have to calculate the GCF (greatest common factor) that those two numbers. You deserve to use our comfortable GCF calculator to occupational this the end yourself if you desire to. We currently did that, and the GCF the 6 and also 7 is 1.

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

6/1 = 6

7/1 = 7

When we placed that together, we deserve to see that our complete answer is:

5 6/7

Hopefully this tutorial has actually helped you to understand exactly how to convert any type of improper portion you have into a combined fraction, finish with a whole number and also a suitable fraction. You"re free to usage our calculator below to occupational out more, however do try and learn exactly how to carry out it yourself. It"s an ext fun than it seems, i promise!

Improper portion to Mixed fraction Calculator

Improper portion to mixed Number

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