Mixing colours

Last summer, Mang Tinoy repainted his car. He mixed 2 3/8 cans of white paint, 1 1/3 cans of red paint, and 1 2/4 cans of blue paint. How much paint did he use overall?

Correct answer:

m =  5 ⁵⁄₂₄ = 125/24

Step-by-step explanation:

$$\begin{gathered} w=2\frac{3}{8}=2+\frac{3}{8}=\frac{2\cdot 8+3}{8}=\frac{16+3}{8}=\frac{19}{8}=2\frac{3}{8}=2.375 \\ r=1\frac{1}{3}=1+\frac{1}{3}=\frac{1\cdot 3+1}{3}=\frac{3+1}{3}=\frac{4}{3}=1\frac{1}{3}\doteq 1.3333 \\ b=1\frac{2}{4}=1+\frac{2}{4}=\frac{1\cdot 4+2}{4}=\frac{4+2}{4}=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}=1.5 \\ m=w+r+b=\frac{19}{8}+\frac{4}{3}+\frac{3}{2}=\frac{57}{24}+\frac{32}{24}+\frac{36}{24}=\frac{57+32+36}{24}=\frac{125}{24}=5\frac{5}{24}=5.2083 \end{gathered}$$

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