Fraction Exploration

Knowing the meaning of the line between the two numbers of  the fraction is powerful.

 

    

 

 

 

 

 

Today we will use division to create decimals or mixed numbers.  

Use the power of this knowledge to control numbers.    Do what the line says .... Divide ...

Above, when you divided, what kind of number did you get? Answer A decimal.

Above, when you divided, what kind of number did you get? Answer A mixed number.

When you use the information that the line means divide, what happens ....

Answer You get either a decimal or a mixed number.

When  you divide with a fraction like this ... 12  .... what do  you get ??? 

                                                                        11 

Answer A mixed number.

 

 

When you divide with a fraction like this ... 4 .... what do you get ???  Answer A decimal.

                                                                      7 

What kind of number is ... 12   ???  Answer An improper fraction.

                                           11 

 

 

What kind of number is ... 4     ???  Answer A proper fraction.

                                           7 

 

When you have an improper fraction, what happens when you use your knowledge that the line means divide.

                                                         Answer you make a mixed number.

 

 

When you have an proper fraction, what happens when you use your knowledge that the line means divide.

                                                        Answer you make a decimal.

If someone asks you to convert an improper fraction into a mixed number, what are you being asked to do??

   Answer You are being asked to divide the bottom number of an improper fraction into the top number of the fraction.

 

If someone asks you to convert a proper fraction into a decimal, what are you being asked to do??  

   Answer You are being asked to divide the bottom number of a proper fraction into the top number of the fraction.  

 

Check Your Understanding

1. Enter a fraction (proper or improper).
2. Think of what you believe the proper fractions converts to as a decimal and what improper fractions convert to as a mixed number.
3. Click the button "Check" and check your answer.

Fraction:
Answer:

(Note: if needed, decimal answers will be rounded to the ten-thousandths position.)