*Three blind mice. Three blind mice.*

*See how they run. See how they run.*

*The Farmer’s Wife went after them with a carving knife*

*And divided them up for stew that night.*

*Filling eleven pots of rice.*

Okay, that might not be the loveliest example of **dividing decimals** and converting into fractions and vice versa, but **turning decimals into fractions** is a useful skill to have. Plus, it’s super easy!

**Dividing Decimals Example # 1.**

Let’s take any decimal: 0.65

We know that 0.65 is more than half (0.5) but less than three quarters (0.75). But what is the exact fraction?

Let’s place the number over 1 in a fraction:

0.65/1

Then, count the number of digits in the decimal. We have *2* That means we must multiply it by that many place holders.

So we **multiply both sides by 100**

(0.65/1) X (100/100)

This gives you your fraction!

65/100

From there, we can reduce it to the simplest number possible:

13/20

Your answer is 13/20

**Dividing Decimals Example # 2.**

Let’s take a more complex number:

0.525

Set it up:

(0.525/1) X (1000/1000) = 525/1000

Then simplify it!

(525/1000) ÷ (5/5) = (105/200) ÷ (5/5) = 21/40

Your answer is 21/40

**Dividing Decimals Example # 3.**

Let’s take a *very* complex number:

*0.54587123658654*

Don’t be intimidated. This is a piece of cake!

*0.54587123658654*/1

Count the number of digits: 14

Multiply it by that number of place holders:

100000000000000/100000000000000

Then reduce the number by dividing both sides by 2…

*54587123658654*/100000000000000 = 27293561829327/50000000000000

27293561829327/50000000000000 is the answer!

**Dividing Decimals Example # 4.**

What if you have a *mixed number*? Like, 5.623?

First, ignore the** whole number**. Set 5 aside.

Then, work with the decimal. 0.623

You can do it! Remember to count the number of digits after the decimal?

(623/1) X (1000/1000) = 623/1000

Let’s go back to the Farmer’s Wife.

She had 3 mice and eleven cups of stew

3 ÷ 11 = 0.273

What is the fraction of mouse per stew?

273/1000

The number can’t be reduced further. This is the fraction of mouse per cup of stew!

*Time for lunch!*