Number and operations:

understanding representations of rational numbers and operations on them

 

 

1.  Why is ½ equivalent to 2/4 and 4/8 and 10/20?  Try to explain with a diagram.

 

2.  Add one-half and one-third with a diagram. 

 

 

 

3.  Why do we have to use common denominators when we add or subtract fractions? 

 

 

4.  Write a word problem for which the answer is given by the expression:

 

a) one half plus one third

 

b) one third minus one half

 

c) one half times one third

 

d) one third times one half

 

 e) one half divided by one third

 

f) one half divided by three

 

g) one half times three

 

h) one third divided by one half