Converting one improper portion like 17/9 to a blended number is a very common ability you will must teach (or learn) in a mathematics class.

You are watching: What is 17/9 as a mixed number

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The very first step is to make sure we understand all of the terms in the trouble we are trying come solve:

Numerator - this is the number above the portion line. Because that 179, the numerator is 17.Denominator - this is the number below the fraction line. Because that 179, the denominator is 9.Improper fraction - an improper portion is once the numerator is greater than the denominator.Mixed number - A mixed number is a way to to express the improper portion by converting it come a entirety number (an integer) and also a smaller suitable fraction.

## Find the Whole number of Improper fraction 179

To convert this to a mixed number, we require to discover out what the whole number of our new fraction should be. To execute that we divide the molecule by the denominator and round the answer under so that we have actually a totality number v no decimal places:

17 ÷ 9 = 1.8888888888889

As you can see, 1.8888888888889 is not a totality number, and so we have to round this under to 1.

## Get the brand-new Numerator

We have the entirety number, so us now should calculate the new proper fraction, starting with the new numerator.

In this step, we take the totality number we simply calculated, 1, and multiply the by the denominator, i m sorry is 9. The result of that calculation is then subtracted from the initial number, 17:

17 - (1 × 9) = 8

## Complete the blended Fraction

The good news is the the denominator in a mixed number is the exact same as the original improper fraction. All we should do is take it the new numerator and put it over the initial denominator, through the entirety number prior to it:

189

Hopefully this post helps you to understand exactly how you can work through fractions of whole numbers and also work this out easily for yourself whenever you require it.

## Practice Improper fractions Worksheets

Like most math problems, converting improper fractions choose 17/9 to a combined number is something the will obtain much easier for you the more you exercise the problems and also the much more you practice, the more you understand.

Whether you space a student, a parent, or a teacher, girlfriend can create your very own improper fraction worksheets making use of our improper fraction worksheet generator. This completely cost-free tool will let you create totally randomized, differentiated, improper portion problems to aid you v your learning and understanding that fractions.

## Practice Improper fractions to combined Numbers utilizing Examples

If you desire to proceed learning about how to convert an improper fraction to a blended number, take a look in ~ the rapid calculations and random calculations in the sidebar come the right of this blog post.

We have detailed some of the most typical fractions in the fast calculation section, and also a selection of fully random fractions together well, to help you work through a variety of problems.

Each article will present you, step-by-step, just how to adjust an improper fraction to a mixed number, simplifying the fraction to its shortest terms where necessary, and will help students to yes, really learn and understand this process.

See more: What Is The Difference Between Geometric And Arithmetic, Arithmetic And Geometric Sequences

## Calculate another Improper portion to blended Number

Enter your improper fraction in the A and B boxes, and also click "Calculate" to transform it come a combined number.