Mimi's

Mimi's store donated 150 2/3 kg of rice to the flood victims. Kelly's store also donated 142 1/4 kg of rice. How many kilograms of rice were donated to the flood victims altogether?

Correct answer:

x =  292 ¹¹⁄₁₂ = 3515/12 kg

Step-by-step explanation:

$$\begin{gathered} M=150\frac{2}{3}=150+\frac{2}{3}=\frac{150\cdot 3+2}{3}=\frac{450+2}{3}=\frac{452}{3}\doteq 150.6667\text{kg} \\ K=142\frac{1}{4}=142+\frac{1}{4}=\frac{142\cdot 4+1}{4}=\frac{568+1}{4}=\frac{569}{4}=142.25\text{lg} \\ x=M+K=\frac{452}{3}+\frac{569}{4}=\frac{1808}{12}+\frac{1707}{12}=\frac{1808+1707}{12}=\frac{3515}{12}=\frac{3515}{12}\text{kg}=292\frac{11}{12}\text{kg}=292.9167\text{kg} \end{gathered}$$

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