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Once there was a girl named Lucy. She loved 

school, but her least favorite subject was 

math. She didn't like math because she never 

understood what the teacher was showing 

them. One day, they were learning about 

multiplying and dividing fractions, reciprocals, 

expressions, and the multiplying and dividing 

of decimals.

We will be learning about multiplying 

and dividing fractions, reciprocals, 

expressions, and the multiplying and 

dividing of decimals.

"Oh no! I can never figure this out!" Lucy screeched.

The bell rang. All of Lucy's fellow classmates were taking their seats, ready to 

learn. Lucy's friend, Camille, who sits next to her, looks at the board, smiling. 

"What's got you so happy?" Lucy questioned.

"This lesson is going to be great! I've learned this from my dad." Camille 

replied.

"That makes one of us." Lucy mumbled under her breath.

"Good morning class!" Mrs. David said happily.

"Good morning Mrs. David." the class said in sync.

"We will be learning a lot today, so be ready for a lot of knowledge!"

The class shuffled to get their notebooks and pencils for notes. Lucy 

scrambled for hers. When everyone was situated, Mrs. David continued with 

the lesson. "Let's start with multiplying and dividing fractions and decimals. I 

know it looks hard, but it truly isn't once you get the hang of it." Mrs. David 

spoke calmly whilst writing on the board. "Here is an example of each 

multiplying and dividing. 3/4*5/6, 9/10\4/6, 5.6*2.8, and 9.6/3.4. Before 

you all think, '" This is too hard! I'll never get this right!"' I will show you the 

ways to solve it. I'll start with 3/4*5/6.

Fractions are also called rational numbers, or numbers that equal their 

opposite.

3      5      15

-- x -- =   --

4      6      24

You just multiply across. Easy, right? Also, you can multiply the reciprocal, or 

opposite, to equal 1, like 3/4*4/3. Now for the dividing.

9        4

--   /   --

10      6        

I'm going to show you the common denominator way to solve this;

9       54                       4          40

--   = --                        --   =    ---

10     60                       6          60

54      40      94         34         17

--   +   --   = --- = 1   --   = 1   --

60      60      60          60        30

That wasn't too hard.

Next is decimals. I'll start with multiplying decimals, then dividing. We 

are going to use the standard algorithm, or standard multiplication, to 

solve this.

5.6

2.8

------

 448

1120

--------

1568

Then, you count how many decimal places there are(not including 

zero), in this case, 2.

The answer is 15.68.

"Oh, I see now!" Lucy blurted out, " You just change the 

denominator to be similar, and just multiply the 

decimals like they are regular numbers!"

"That's right!" Mrs. David announced.

"Now, as I was saying, we need to get back to dividing 

decimals!" Mrs. David exclaimed. The whole class 

groaned. "Oh, come on now! The lesson will be halfway 

over when this is done!" 

The entire class sat up immediately, pencils in hand, 

ready to take notes.

"Well then," Mrs. David retorted, "as I was going to say, 

let's begin with dividing decimals."

It's very simple.

         0 2.8

           _____

3.4   |9.6

        68

        28

The answer would be 2.8. Not too hard.

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