Trying to find out exactly how to convert 10/3 right into a mixed number or fraction? have actually I acquired the answer for you! In this guide, we"ll to walk you with the step-by-step process of convert an improper fraction, in this case 10/3, to a blended number. Read on!


Want to conveniently learn or present students exactly how to convert 10/3 to a blended number? play this an extremely quick and fun video now!


Before we begin, let"s revisit some basic fraction terms so friend understand precisely what we"re managing here:

Numerator. This is the number over the fraction line. Because that 10/3, the numerator is 10.Denominator. This is the number listed below the portion line. For 10/3, the denominator is 3.Improper fraction. This is a portion where the numerator is higher than the denominator.Mixed number. This is a way of to express an improper portion by simple it to entirety units and a smaller as whole fraction. It"s an creature (whole number) and a proper fraction.

You are watching: Write 10 3 as a mixed number

Now let"s go through the measures needed to transform 10/3 to a blended number.

Step 1: uncover the whole number

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

10/3= 3.3333333333333 = 3

Now the we have our entirety number for the combined fraction, we need to find our new numerator because that the portion part of the combined number.

Step 2: acquire the new numerator

To occupational this the end we"ll usage the totality number us calculated in step one (3) and also multiply the by the original denominator (3). The an outcome of the multiplication is climate subtracted native the initial numerator:

10 - (3 x 3) = 1

Step 3: Our blended fraction

We"ve currently simplified 10/3 come a blended number. To check out it, we simply need to put the entirety number in addition to our brand-new numerator and also original denominator:


3 1/3

Step 4: simplifying our fraction

In this case, our portion (1/3) have the right to be simplified down further. In stimulate to carry out that, we should calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to occupational this the end yourself if you desire to. We currently did that, and the GCF that 1 and also 3 is 1.

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We can now division both the new numerator and also the denominator by 1 to leveling this fraction down to its shortest terms.

1/1 = 1

3/1 = 3

When we put that together, we can see that our complete answer is:


3 1/3

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

Improper portion to Mixed fraction Calculator


Improper portion to combined Number

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