Can you

Can you help me solve this math problem? I need to know the answer after multiplying 2 2/3 by 2 1/4 and then adding 1 2/3 divided by 1 4/5. Thank you in advance for your assistance.

Correct answer:

x =  6 ²⁵⁄₂₇ = 187/27

Step-by-step explanation:

$$\begin{gathered} a=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}=2\frac{2}{3}\doteq 2.6667 \\ b=2\frac{1}{4}=2+\frac{1}{4}=\frac{2\cdot 4+1}{4}=\frac{8+1}{4}=\frac{9}{4}=2\frac{1}{4}=2.25 \\ c=1\frac{2}{3}=1+\frac{2}{3}=\frac{1\cdot 3+2}{3}=\frac{3+2}{3}=\frac{5}{3}=1\frac{2}{3}\doteq 1.6667 \\ d=1\frac{4}{5}=1+\frac{4}{5}=\frac{1\cdot 5+4}{5}=\frac{5+4}{5}=\frac{9}{5}=1\frac{4}{5}=1.8 \\ w=a\cdot b=\frac{8}{3}\cdot \frac{9}{4}=\frac{8\cdot 9}{3\cdot 4}=\frac{72}{12}=6 \\ y=c/d=\frac{5}{3}/\frac{9}{5}=\frac{5}{3}:\frac{9}{5}=\frac{5}{3}\cdot \frac{5}{9}=\frac{5\cdot 5}{3\cdot 9}=\frac{25}{27}\doteq 0.9259 \\ x=w+y=6+0.9259=\frac{187}{27}=6\frac{25}{27}=6.9259 \end{gathered}$$

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