Trying to discover out exactly how to convert 75/4 into a blended number or fraction? have I got the answer for you! In this guide, we"ll go you through the step-by-step process of converting an improper fraction, in this instance 75/4, come a mixed number. Read on!


Want to quickly learn or present students exactly how to transform 75/4 come a combined number? beat this an extremely quick and fun video now!


Before us begin, let"s revisit part basic portion terms so friend understand precisely what we"re handling here:

Numerator. This is the number over the fraction line. For 75/4, the molecule is 75.Denominator. This is the number below the fraction line. Because that 75/4, the denominator is 4.Improper fraction. This is a fraction where the numerator is higher than the denominator.Mixed number. This is a means of expressing an improper portion by simplifying it to whole units and also a smaller all at once fraction. It"s an essence (whole number) and a proper fraction.

You are watching: 75/4 as a mixed number

Now let"s go through the measures needed to convert 75/4 come a combined number.

Step 1: uncover the whole number

We first want to discover the entirety number, and to carry out this we division the molecule by the denominator. Due to the fact that we are only interested in whole numbers, we ignore any kind of numbers come the appropriate of the decimal point.

75/4= 18.75 = 18

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

Step 2: obtain the new numerator

To work-related this out we"ll usage the entirety number us calculated in action one (18) and multiply the by the original denominator (4). The result of that multiplication is then subtracted from the initial numerator:

75 - (4 x 18) = 3

Step 3: Our mixed fraction

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


18 3/4

Step 4: simple our fraction

In this case, our portion (3/4) deserve to be simplified down further. In stimulate to do that, we have to calculate the GCF (greatest common factor) of those 2 numbers. You can use our handy GCF calculator to work-related this the end yourself if you want to. We already did that, and the GCF that 3 and also 4 is 1.

We deserve to now divide both the brand-new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.

3/1 = 3

4/1 = 4

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


18 3/4

Hopefully this tutorial has helped you come understand exactly how to convert any type of improper portion you have into a blended fraction, finish with a whole number and also a appropriate fraction. You"re cost-free to usage our calculator listed below to job-related out more, however do try and learn just how to do it yourself. It"s much more fun than it seems, ns promise!

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