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Equivalent Fractions

We can show that:

 

1

 

2

 

4

---

 = 

---

 = 

---

2

 

4

 

8

How?

What you do to the top of the fraction you must also do to the bottom of the fraction!

 

× 2

 

× 2

 

   top_arrowtop_arrow

    1     

 

    2    

 

    4    

---

=

---

=

---

    2     

 

    4    

 

    8    

bottom_arrowbottom_arrow

 

× 2

 

× 2

 

 

It also works the other way

 

÷ 6

 

÷ 6

 

   top_arrowtop_arrow

    18     

 

    6    

 

    1    

----

=

----

=

----

    36     

 

    12    

 

    2    

   bottom_arrowbottom_arrow

 

÷ 6

 

÷ 6

 

This is also known as simplifying a fraction

Remember:

  • The top and bottom of the fraction must always be a whole number.
  • The number you pick to divide by must always go into the top and the bottom of the fraction without any remainders.

 


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