4TH GRADE MATH - BREAKING APART FRACTIONS

Breaking Apart Fractions - A Fraction as the Sum of Unit Fractions

We know that a unit-fraction is a fraction with Numerator "1" and Denominator any whole number greater than "1". Any other fraction can be broken into unit fractions. In this activity we will break apart a non unit fraction into a number of unit fractions and then we will combine some of the unit fractions in the answer to show the breaking of original fraction in another way.

Below is the activity showing how to represent any given fraction as sum of unit and non unit fractions.



Now you draw the following fractions, then represent them as the sum of unit fractions. Finally show the same fraction two more ways as the sum of unit or non unit fractions.

  1. 2/3
  2. 3/5
  3. 4/9
  4. 4/3
  5. 7/5


Below are the links to 2nd grade and 3rd grade math pages, where you can print all the content for 2nd and 3rd grade math students;

2ND GRADE MATH CORE CURRICULUM

3RD GRADE MATH CORE CURRICULUM


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I never heard that term "Breaking Apart Fractions", every day I learn something different with these contents that you propose in your publications.

Yes, writing a fraction as the sum of unit fractions is also known as decomposing fractions. Thanks for commenting!

Well explained splitting of fraction @mathworksheets. Thanks for sharing.

5/6= 2/6 + 3/6 is other way to break apart 5/6.

great sheets with proper explaining of everything thanks for sharing

Very great worksheet dear brother.

#Upvote and #resteem done. Thanks @mathworksheets sir.

According to me, a unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Mathematics is an amazing subjects.

Thanks for sharing.

Upvoted & resteemed your post.

Great Explanation sir.

A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, etc.
Valuable post sir. It is really very beneficial for students. Mathematics is my favourite subject and I love to do it daily.☺

Thanks @mathworksheets for sharing this post.

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