Answer to Question #125663 in Algebra for Tabisa

Question

Use a box as a volume model for fractions

Answer 1

Consider the box below.

The fraction of each portion is equivalent to (¹/₅)  

This is a proper fraction since the numerator is smaller than denominator.

If we add one more portion to the whole box,

we get 1 whole box and a (¹/₅) fraction of the box.

This combined gives a mixed number 1¹/₅ .

A mixed number is a whole number and a proper fraction written together.

 In total, there are 6 equal portions of (¹/₅)  . We can express these portions as a single improper fraction equivalent to (⁶/₅) .

An improper fraction is a fraction whose numerator is larger than the denominator.