Trying to discover out just how to convert 27/4 into a mixed number or fraction? have actually I got the answer for you! In this guide, we"ll go you with the step-by-step process of convert an wrong fraction, in this case 27/4, come a combined number. Read on!

Want to quickly learn or show students just how to transform 27/4 come a combined number? play this very quick and fun video clip now!

Before we begin, let"s revisit part basic fraction terms so you understand exactly what we"re dealing with here:

Numerator. This is the number above the portion line. Because that 27/4, the numerator is 27.Denominator. This is the number listed below the portion line. Because that 27/4, the denominator is 4.Improper fraction. This is a fraction where the numerator is better than the denominator.Mixed number. This is a method of express an improper fraction by simple it to whole units and a smaller as whole fraction. It"s an essence (whole number) and a suitable fraction.

You are watching: 27/4 as a mixed number calculator

Now let"s go with the measures needed to convert 27/4 come a combined number.

Step 1: uncover the totality number

We first want to uncover the entirety number, and to perform this we division the numerator by the denominator. Because we are just interested in whole numbers, we ignore any kind of numbers come the appropriate of the decimal point.

27/4= 6.75 = 6

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

Step 2: acquire the new numerator

To job-related this the end we"ll usage the totality number us calculated in step one (6) and multiply the by the original denominator (4). The an outcome of that multiplication is then subtracted native the initial numerator:

27 - (4 x 6) = 3

Step 3: Our mixed fraction

We"ve currently simplified 27/4 come a mixed number. To view it, we just need to put the entirety number together with our brand-new numerator and also original denominator:

6 3/4

Step 4: simplifying our fraction

In this case, our fraction (3/4) deserve to be simplified down further. In bespeak to perform that, we should calculate the GCF (greatest typical factor) of those 2 numbers. You have the right to use our comfortable GCF calculator to work this out yourself if you desire to. We currently did that, and the GCF the 3 and 4 is 1.

We have the right to now division both the brand-new numerator and also the denominator through 1 to simplify this portion down come its shortest terms.

3/1 = 3

4/1 = 4

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

6 3/4

Hopefully this tutorial has actually helped you to understand exactly how to convert any kind of improper portion you have into a combined fraction, finish with a whole number and a proper fraction. You"re cost-free to use our calculator listed below to job-related out more, however do try and learn just how to execute it yourself. It"s an ext fun than it seems, ns promise!

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