## 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 $\dfrac59$.

One way we can decompose $\dfrac59$ is $\goldD{\dfrac29}+\greenD{\dfrac39}$:

Another way we can decompose $\dfrac59$ is $\purpleD{\dfrac19}+\redD{\dfrac29}+\tealD{\dfrac29}$:

### Example 2: Number line

How can we decompose $\dfrac64$?

One way we can decompose $\dfrac64$ is $\purpleD{\dfrac14}+\purpleD{\dfrac14}+\purpleD{\dfrac14}+\purpleD{\dfrac14}+\purpleD{\dfrac14}+\purpleD{\dfrac14}$:

Another way we can decompose $\dfrac64$ is $\blueD{\dfrac34}+\blueD{\dfrac34}$:

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