Question

What Fraction Of The Wall Did Kevin Paint?

Answer 1

Kevin painted $\frac{1}{9}$ of the wall.

Solution:

Fraction of the wall painted by Elena = $\frac{5}{9}$

Fraction of the wall painted by Matthew = $\frac{3}{9}$

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

To find the wall painted by Kevin:

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

                          $=1-\frac{5}{9}-\frac{3}{9}$

                          $=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}$

To make the denominator same, multiply the numerator and denominator of the first term by 9.

                          $=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}$

                          $=\frac{9-5-3}{9}$

                          $=\frac{1}{9}$

Rest of the wall = $\frac{1}{9}$

Hence the kevin painted $\frac{1}{9}$ of the wall.