Graham mixes up some mint green paint for his bathroom. He mixes 2 1/5 litres of white paint with 3 1/3 of green paint and 1/2 litre of blue

The dog seems to be very good at representing melodys expression Hun?

2+1/5+3+1/3+1/2

$$\\2+3+\frac{1}{5}+\frac{1}{3}+\frac{1}{2}\\\\$$

The lowest common denominator is 5*3*2=30

$$\\2+3+\frac{1*3*3}{5*3*2}+\frac{1*2*5}{3*2*5}+\frac{1*3*5}{2*3*5}\\\\
=5+\frac{9}{30}+\frac{10}{30}+\frac{15}{30}\\\\
=5+\frac{9+10+15}{30}\\\\
=5+\frac{34}{30}\\\\
=5+\frac{30+4}{30}\\\\
=5+\frac{30}{30}+\frac{4}{30}\\\\
=5+1+\frac{2}{15}\\\\
=6\;\frac{2}{15}\\\\$$

Graham mixes up some mint green paint for his bathroom. He mixes 2 1/5 litres of white paint with 3 1/3 of green paint and 1/2 litre of blue paint. How many litres of mint green paint had Graham made altogether?

$$\small{\text{
$
2\frac{1}{5}+3\frac{1}{3}+\frac{1}{2}
$
}}$\\$
\small{\text{$
=2+3+\frac{1}{5}+\frac{1}{3}+\frac{1}{2}$
}}$\\$
\small{\text{$
=5+\frac{1}{5}+\frac{1}{3}+\frac{1}{2}
$
}}$\\$
\small{\text{$
=5+\frac{1*3*2}{5*3*2}+\frac{1*5*2}{3*5*2}+\frac{1*5*3}{2*5*3}
$
}}$\\$
\small{\text{$
=5+\frac{6}{5*3*2}+\frac{10}{3*5*2}+\frac{15}{2*5*3}
$
}}$\\$
\small{\text{$
=5+\frac{6+10+15}{5*3*2}
$
}}$\\$
\small{\text{$
=5+\frac{30+1}{30}
$
}}$\\$
\small{\text{$
=5+\frac{30}{30}
+\frac{1}{30}
$
}}$\\$
\small{\text{$
=5+1+\frac{1}{30}
$
}}$\\$
\small{\text{$
=6+\frac{1}{30}
$
}}$\\$
\small{\text{$
\textcolor[rgb]{1,0,0}{=6\frac{1}{30}}
$
}}$$

Whoops I made an error thanks Heureka :)

Shame on you, Melody...!!!!! 

You are NOT ALLOWED to make mistakes on here..... (LOL !!!)

Aww