Trying to discover out just how to transform 75/4 right into a blended number or fraction? have actually I acquired the answer for you! In this guide, we"ll walk you through the step-by-step process of converting an not correct fraction, in this situation 75/4, come a blended number. Review on!

Want to quickly learn or show students exactly how to convert 75/4 to a mixed number? play this really quick and also fun video now!

Before us begin, let"s revisit part basic portion terms so you understand exactly what we"re managing here:

Numerator. This is the number over the portion line. For 75/4, the numerator is 75.Denominator. This is the number listed below the portion line. For 75/4, the denominator is 4.Improper fraction. This is a portion where the molecule is better than the denominator.Mixed number. This is a method of expressing an improper portion by simplifying it to entirety units and also a smaller in its entirety fraction. It"s an integer (whole number) and also a appropriate fraction.

You are watching: 75/4 as a mixed number

Now let"s go v the steps needed to transform 75/4 come a blended number.

Step 1: find the whole number

We very first want to uncover the totality number, and also to do this we divide the molecule by the denominator. Due to the fact that we are only interested in whole numbers, us ignore any type of numbers come the best of the decimal point.

75/4= 18.75 = 18

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

Step 2: gain the brand-new numerator

To work this out we"ll use the totality number we calculated in action one (18) and multiply it by the initial denominator (4). The an outcome of the multiplication is then subtracted indigenous the original numerator:

75 - (4 x 18) = 3

Step 3: Our blended fraction

We"ve currently simplified 75/4 come a combined number. To view it, we just need to placed the entirety number together with our brand-new numerator and also original denominator:

18 3/4

Step 4: simplifying our fraction

In this case, our portion (3/4) can be streamlined down further. In order to perform that, we need to calculate the GCF (greatest common factor) of those two numbers. You deserve to use our handy GCF calculator to work-related this the end yourself if you want to. We currently did that, and also the GCF that 3 and 4 is 1.

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

3/1 = 3

4/1 = 4

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

18 3/4

Hopefully this tutorial has helped you come understand exactly how to convert any kind of improper portion you have actually into a combined fraction, finish with a entirety number and a appropriate fraction. You"re free to usage our calculator listed below to work-related out more, yet do shot and learn just how to perform it yourself. It"s much more fun than it seems, i promise!

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