Lowest terms

What is the sum if the product of 1 3/4 and 2 1/6 is added to the quotient of 1/3 and 8 4/5? Write the solution as a mixed number or a fraction in the lowest terms.

Final Answer:

s =  30 ²³⁄₁₂₀ = 3623/120

Step-by-step explanation:

$$\begin{gathered} p=1\frac{3}{4}\cdot 2\frac{1}{6}=\frac{7}{4}\cdot \frac{13}{6}=\frac{7\cdot 13}{4\cdot 6}=\frac{91}{24}\doteq 3.7917 \\ q=8\frac{4}{5}/\frac{1}{3}=\frac{44}{5}/\frac{1}{3}=\frac{44}{5}:\frac{1}{3}=\frac{44}{5}\cdot \frac{3}{1}=\frac{44\cdot 3}{5\cdot 1}=\frac{132}{5}=26.4 \\ s=p+q=\frac{91}{24}+\frac{132}{5}=\frac{455}{120}+\frac{3168}{120}=\frac{455+3168}{120}=\frac{3623}{120}=30\frac{23}{120}=30.1917 \end{gathered}$$

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