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# Decomposing fractions review

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

## Decomposing fractions

To

**decompose**a number, we break it into smaller parts.Fractions, like all numbers, can be decomposed in many ways.

### 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:

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:

### 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:

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:

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

## Want to join the conversation?

- how to you decompose a mixed number or a negative fraction(27 votes)
- what are negative fractions?(16 votes)
- Fractions that are represented on the
**LEFT SIDE from 0 on a Number Line**.(6 votes)

- How do you add negative fractoins(20 votes)
- how do you decompose a mixed number?(12 votes)
- 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(9 votes)

- how do you add two decimals with different denomenators(12 votes)
- how do you divied fractions?(9 votes)
- You might want to check out the video “Understanding division of fractions”.(7 votes)

- hi how are you(7 votes)
- *
*`Good, how are you?`

(5 votes)

- how do you decompose an fractions(5 votes)
- 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(7 votes)

- And how can you decompose a fraction with no danominator(4 votes)
- 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.(7 votes)

- how do you decompose a negative fraction?(9 votes)