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Question Rahim mixes \(\frac{2}{3}\) liters of yellow paint with \(\frac{3}{4}\) liters of blue paint to make green paint What is the volume of green paint he has made?
Quantity of yellow paint added = \(\frac{2}{3}\) litres
Quantity of blue paint added = \(\frac{3}{4}\) litres
Total quantity of green paint made = \(\frac{2}{3}\) + \(\frac{3}{4}\)
LCM of 3 and 4 is 12.
\(\frac{2}{3}=\frac{2}{3} \times \frac{4}{4}=\frac{8}{12}\)
\(\frac{3}{4}=\frac{3}{4} \times \frac{3}{3}=\frac{9}{12}\)
\(\frac{8}{12}+\frac{9}{12}=\frac{8+9}{12}=\frac{17}{12}\)
So, the total quantity of paint made is \(\frac{17}{12}\) liters.