Trying to discover out exactly how to convert 56/15 into a mixed number or fraction? have I gained the answer because that you! In this guide, we"ll walk you with the step-by-step procedure of convert an not correct fraction, in this case 56/15, come a blended number. Check out on!


Want to quickly learn or show students just how to transform 56/15 come a mixed number? beat this really quick and also fun video clip now!


Before us begin, let"s revisit some basic portion terms so girlfriend understand specifically what we"re dealing with here:

Numerator. This is the number above the fraction line. For 56/15, the molecule is 56.Denominator. This is the number listed below the fraction line. Because that 56/15, the denominator is 15.Improper fraction. This is a portion where the numerator is higher than the denominator.Mixed number. This is a method of to express an improper fraction by simplifying it to totality units and a smaller in its entirety fraction. It"s an creature (whole number) and a suitable fraction.

You are watching: 56/15 as a mixed number

Now let"s go with the actions needed to convert 56/15 come a combined number.

Step 1: discover the totality number

We very first want to find the entirety number, and also to execute this we division the molecule by the denominator. Since we are just interested in whole numbers, we ignore any kind of numbers come the appropriate of the decimal point.

56/15= 3.7333333333333 = 3

Now the we have actually our whole number for the combined fraction, we require to uncover our brand-new numerator for the portion part that the combined number.

Step 2: gain the new numerator

To work this the end we"ll usage the whole number us calculated in step one (3) and multiply the by the initial denominator (15). The result of that multiplication is climate subtracted native the original numerator:

56 - (15 x 3) = 11

Step 3: Our blended fraction

We"ve currently simplified 56/15 to a blended number. To view it, we simply need to placed the whole number along with our new numerator and also original denominator:


3 11/15

Step 4: simplifying our fraction

In this case, our portion (11/15) have the right to be streamlined down further. In stimulate to do that, we must calculate the GCF (greatest common factor) of those 2 numbers. You have the right to use our comfortable GCF calculator to work-related this the end yourself if you want to. We currently did that, and the GCF that 11 and 15 is 1.

We can now divide both the new numerator and the denominator by 1 to leveling this fraction down come its lowest terms.

11/1 = 11

15/1 = 15

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


3 11/15

Hopefully this tutorial has helped you to understand exactly how to convert any kind of improper fraction you have actually into a combined fraction, finish with a totality number and a ideal fraction. You"re complimentary to usage our calculator below to occupational out more, yet do try and learn exactly how to do it yourself. It"s more fun 보다 it seems, i promise!

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