The value of 1-2-1-2-1-2-1-2-1-2 -3-4 is -

(1/2) × (1/2) + (1/2)/(1/2 + 1/2) × (3/4) = (1/2 )+ (1/4)/1 × (3/4) = (3/4)/(3/4) = 1 ...

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Problems Involving Multiplication and Division

The value of ...

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The value of $\frac{\frac{1}{2} \times \frac{1}{2} + \frac{1}{2}}{(\frac{1}{2} + \frac{1}{2}) \times (\frac{3}{4})}$ is ___.

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The value of $\frac{(\frac{1}{2}) \times (\frac{1}{2}) + (\frac{1}{2})}{(\frac{1}{2}) + (\frac{1}{2}) \times (\frac{3}{4})}$ is 1.

6 + {log}_{\frac{3}{2}} ⎛ ⎜ ⎝ \frac{1}{3 \sqrt{2}} \sqrt{4 - \frac{1}{3 \sqrt{2}} \sqrt{4 - \frac{1}{3 \sqrt{2}} \sqrt{4 - \frac{1}{3 \sqrt{2}} . . . .}}} ⎞ ⎟ ⎠

6 + {log}_{3 / 2} ⎛ ⎜ ⎜ ⎝ \frac{1}{3 \sqrt{2}} \sqrt{4 - \frac{1}{3 \sqrt{2}} \sqrt{4 - \frac{1}{3 \sqrt{2}} \sqrt{4 - \frac{1}{3 \sqrt{2}} . . .}}} ⎞ ⎟ ⎟ ⎠

\frac{1}{1 + \frac{1}{3 - \frac{4}{2 + \frac{1}{3 - (\frac{1}{2})}}}} + \frac{3}{3 - \frac{4}{3 + \frac{1}{2 - (\frac{1}{2})}}}

The value of $(1)^{- 2}$ + ${(\frac{1}{2})}^{- 2}$ + ${(\frac{1}{3})}^{- 2}$ + ${(\frac{1}{4})}^{- 2}$ is:

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