what are negative fractions?

Fractions that are represented on the *LEFT SIDE from 0 on a Number Line*.

how do you decompose a mixed number?

Its that easy! Think of 19/5 and your to lazy to do 19/5 so 5/5+5/5+5/5+4/5=19/5 you see how we added 3 wholes? and there is 4/5 lft over so its 3 4/5

how do you divied fractions?

You might want to check out the video “Understanding division of fractions”.

how do you decompose an fractions

Basically, just turn the numerator into a sum of smaller numbers. Example: 7∕9 = (3 + 4)∕9 = 3∕9 + 4∕9 This is useful when turning an improper fraction into a mixed number. Example: 13∕5 = (5 + 5 + 3)∕5 = 5∕5 + 5∕5 + 3∕5 = 1 + 1 + 3∕5 = 2 ³∕₅

And how can you decompose a fraction with no danominator

if there is no denominator, then it is not a fraction. but you can make any number a fraction, since every whole number implicitly have a denominator of 1. For example: the number 5, you can make it a fraction like this 5/1, the value will still be the same since you still have 5 wholes.

Main content

4th grade

Course: 4th grade > Unit 8

Lesson 1: Decomposing fractions

Decomposing fractions review

CCSS.Math:

4.NF.B.3

4.NF.B.3b

Google Classroom

Review the basics of decomposing fractions, and try some practice problems.

Decomposing fractions

To decompose a number, we break it into smaller parts.

[Show me an example]

Fractions, like all numbers, can be decomposed in many ways.

[Show me an example]

Example 1: Tape diagram

Let's decompose start fraction, 5, divided by, 9, end fraction.

One way we can decompose start fraction, 5, divided by, 9, end fraction is start color #e07d10, start fraction, 2, divided by, 9, end fraction, end color #e07d10, plus, start color #1fab54, start fraction, 3, divided by, 9, end fraction, end color #1fab54:

start color #e07d10, start fraction, 2, divided by, 9, end fraction, end color #e07d10, plus, start color #1fab54, start fraction, 3, divided by, 9, end fraction, end color #1fab54, equals, start fraction, start color #e07d10, 2, end color #e07d10, plus, start color #1fab54, 3, end color #1fab54, divided by, 9, end fraction, equals, start fraction, 5, divided by, 9, end fraction

Another way we can decompose start fraction, 5, divided by, 9, end fraction is start color #7854ab, start fraction, 1, divided by, 9, end fraction, end color #7854ab, plus, start color #e84d39, start fraction, 2, divided by, 9, end fraction, end color #e84d39, plus, start color #01a995, start fraction, 2, divided by, 9, end fraction, end color #01a995:

start color #7854ab, start fraction, 1, divided by, 9, end fraction, end color #7854ab, plus, start color #e84d39, start fraction, 2, divided by, 9, end fraction, end color #e84d39, plus, start color #01a995, start fraction, 2, divided by, 9, end fraction, end color #01a995, equals, start fraction, start color #7854ab, 1, end color #7854ab, plus, start color #e84d39, 2, end color #e84d39, plus, start color #01a995, 2, end color #01a995, divided by, 9, end fraction, equals, start fraction, 5, divided by, 9, end fraction

Example 2: Number line

How can we decompose start fraction, 6, divided by, 4, end fraction?

One way we can decompose start fraction, 6, divided by, 4, end fraction is start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab:

start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, equals, start fraction, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, divided by, 4, end fraction, equals, start fraction, 6, divided by, 4, end fraction

Another way we can decompose start fraction, 6, divided by, 4, end fraction is start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, plus, start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd:

start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, plus, start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, equals, start fraction, start color #11accd, 3, end color #11accd, plus, start color #11accd, 3, end color #11accd, divided by, 4, end fraction, equals, start fraction, 6, divided by, 4, end fraction

Want to learn more about decomposing fractions? Check out this video.

Practice

Problem 1

Current

Which of these sums equal start fraction, 14, divided by, 10, end fraction ?

(Choice A)
start fraction, 5, divided by, 10, end fraction, plus, start fraction, 5, divided by, 10, end fraction, plus, start fraction, 4, divided by, 10, end fraction
(Choice B)
start fraction, 1, divided by, 10, end fraction, plus, start fraction, 1, divided by, 10, end fraction, plus, start fraction, 2, divided by, 10, end fraction, plus, start fraction, 10, divided by, 10, end fraction
(Choice C)
start fraction, 3, divided by, 10, end fraction, plus, start fraction, 8, divided by, 10, end fraction, plus, start fraction, 5, divided by, 10, end fraction

Want to try more problems like this? Check out this exercise.

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RuhaanSood
Posted 6 years ago. Direct link to RuhaanSood's post “how to you decompose a mi...”
how to you decompose a mixed number or a negative fraction
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what are negative fractions?
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- Vibhu Pranat Dixit
  Posted 3 years ago. Direct link to Vibhu Pranat Dixit's post “Fractions that are repres...”
  Fractions that are represented on the LEFT SIDE from 0 on a Number Line.
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how do you decompose a mixed number?
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- Batool Dihan
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  Its that easy! Think of 19/5 and your to lazy to do 19/5 so 5/5+5/5+5/5+4/5=19/5 you see how we added 3 wholes? and there is 4/5 lft over so its 3 4/5
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how do you divied fractions?
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how do you decompose an fractions
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- Jerry Nilsson
  Posted a year ago. Direct link to Jerry Nilsson's post “Basically, just turn the ...”
  Basically, just turn the numerator into a sum of smaller numbers.
  Example: 7∕9 = (3 + 4)∕9 = 3∕9 + 4∕9
  
  This is useful when turning an improper fraction into a mixed number.
  Example:
  13∕5
  = (5 + 5 + 3)∕5
  = 5∕5 + 5∕5 + 3∕5
  = 1 + 1 + 3∕5
  = 2 ³∕₅
  Comment on Jerry Nilsson's post “Basically, just turn the ...”
  (8 votes)
Aqueelah Hyman
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And how can you decompose a fraction with no danominator
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- alphanumeric
  Posted 3 years ago. Direct link to alphanumeric's post “if there is no denominato...”
  if there is no denominator, then it is not a fraction. but you can make any number a fraction, since every whole number implicitly have a denominator of 1. For example:
  
  the number 5, you can make it a fraction like this 5/1, the value will still be the same since you still have 5 wholes.
  Comment on alphanumeric's post “if there is no denominato...”
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