Cloth / textile 2

Monica bought 4 and 3/10 yards of red cloth, 3 and 1/10 yards of pink cloth, and 9 and 2/10 yards of black cloth. How many meters of cloth did she buy in all?

Correct answer:

x =  16 ³⁄₅ = 83/5 yd

Step-by-step explanation:

$$\begin{gathered} r=4\frac{3}{10}=4+\frac{3}{10}=\frac{4\cdot 10+3}{10}=\frac{40+3}{10}=\frac{43}{10}=4.3\text{yd} \\ p=3\frac{1}{10}=3+\frac{1}{10}=\frac{3\cdot 10+1}{10}=\frac{30+1}{10}=\frac{31}{10}=3.1\text{yd} \\ b=9\frac{2}{10}=9+\frac{2}{10}=\frac{9\cdot 10+2}{10}=\frac{90+2}{10}=\frac{92}{10}=\frac{46}{5}=9.2\text{yd} \\ x=r+p+b=\frac{43}{10}+\frac{31}{10}+\frac{46}{5}=\frac{43}{10}+\frac{31}{10}+\frac{92}{10}=\frac{43+31+92}{10}=\frac{166}{10}=\frac{83}{5}\text{yd}=16\frac{3}{5}\text{yd}=16.6\text{yd} \end{gathered}$$

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