In Algebra, you will need to be able to work with numbers, words, and geometric representations. Use these representations to answer the following questions.  

1. Write another fraction that is equivalent to $\frac{4}{5}$. Draw diagrams to show that they are equal.

   Hint (a):

   Try multiplying by a fraction equal to $1$.

   

   Answer (a):

   

   $\frac{4}{5}\cdot \frac{2}{2}=\frac{8}{10}$

2. Find the equivalent decimal for both fractions. Was rounding your answer necessary?

   Answer (b):

   $\frac{8}{10}=0.8$

   Rounding was not necessary.

3. Find the equivalent percent for both fractions. 

   Hint (c):

   Percent means 'per hundred' or 'out of a hundred'.

   More Help 1(c):

   Try setting it up as a proportion to $100$.

   $\frac{4}{5}=\frac{x}{100}$

   More Help 2(c):

   Multiply the top and bottom by $20$ to make the denominator equal to $100$ and solve for $x$.

   $\frac{4}{5}\cdot \frac{20}{20}=\frac{80}{100}$

   Answer (c):

   $x=80$ so, $x=80\%$