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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 $\frac{5}{9}$ .

One way we can decompose $\frac{5}{9}$ is ${{\displaystyle \frac{2}{9}}}+{{\displaystyle \frac{3}{9}}}$ :

Another way we can decompose $\frac{5}{9}$ is ${{\displaystyle \frac{1}{9}}}+{{\displaystyle \frac{2}{9}}}+{{\displaystyle \frac{2}{9}}}$ :

### Example 2: Number line

How can we decompose $\frac{6}{4}$ ?

One way we can decompose $\frac{6}{4}$ is ${{\displaystyle \frac{1}{4}}}+{{\displaystyle \frac{1}{4}}}+{{\displaystyle \frac{1}{4}}}+{{\displaystyle \frac{1}{4}}}+{{\displaystyle \frac{1}{4}}}+{{\displaystyle \frac{1}{4}}}$ :

Another way we can decompose $\frac{6}{4}$ is ${{\displaystyle \frac{3}{4}}}+{{\displaystyle \frac{3}{4}}}$ :

*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(49 votes)
- If you are asking how to convert a mixed number to an improper fraction,you just have to multiply the whole number and the denominator and then add the numerator. The answer you get will be the numerator and the denominator stays the same(13 votes)

- what are negative fractions?(26 votes)
- Fractions that are represented on the
**LEFT SIDE from 0 on a Number Line**.(11 votes)

- how do you decompose a mixed number?(15 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 left over so its 3 4/5, hope this was helpful thanks for 10 likes, Help me reach 30+(22 votes)

- can you guys please up vote this if you are a good person! thanks(19 votes)
- we are all good people i am just saying if you want to. :) thanks(13 votes)

- How do you add negative fractoins(23 votes)
- There are no negative fractions(3 votes)

- how do you add two decimals with different denomenators(19 votes)
- Let's pretend the 2 decimals are 0.5+ 0.25. So 1 is the whole right? So you divide 100/25=4.But 25x1=25. So that's equal to 1/4. Then you try to find the 0.5 which is easy 100-50=50. and that's only half of it so its 1/2. You then try to find a common denominator which is obviously 4 so 1/2x2/2=2/4. You then add 2/4+1/4 and boom. The answers 3/4. Decimal form: 0.75(1 vote)

- how do you decompose a negative fraction?(17 votes)
- I don't think negative fractions exist...(0 votes)

- how do you decompose an fractions(10 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(12 votes)

- And how can you decompose a fraction with no danominator(8 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.(10 votes)

- how do you divied fractions?(9 votes)
- You might want to check out the video “Understanding division of fractions”.(5 votes)