To determine how much green paint Bill and Joan used together, we need to add the fractions of the can of paint they each used.
Bill used [tex]\(\frac{3}{5}\)[/tex] of a can of green paint, and Joan used [tex]\(\frac{1}{5}\)[/tex] of a can of green paint.
First, let's write down the fractions:
- Bill: [tex]\(\frac{3}{5}\)[/tex]
- Joan: [tex]\(\frac{1}{5}\)[/tex]
Since the denominators of these fractions are the same (both are 5), we can simply add the numerators together:
[tex]\[
\frac{3}{5} + \frac{1}{5} = \frac{3 + 1}{5} = \frac{4}{5}
\][/tex]
Thus, the total amount of green paint used by Bill and Joan together is [tex]\(\frac{4}{5}\)[/tex] of a can.
From the given options:
- F [tex]\(\frac{2}{5}\)[/tex] can
- G [tex]\(\frac{4}{5}\)[/tex] can
- H [tex]\(\frac{4}{10}\)[/tex] can
- J 1 can
- K None of these
The correct answer is:
G [tex]\(\frac{4}{5}\)[/tex] can
