Express your answer to the nearest hundredth. $$ \frac{0.5}{0.35} imes \frac{0.85}{1}=\frac{1}{ ext { Enter a number as an exact integer or decimal. }} $$

Question

Express your answer to the nearest hundredth. $$ \frac{0.5}{0.35} 	imes \frac{0.85}{1}=\frac{1}{	ext { Enter a number as an exact integer or decimal. }} $$

UpStudy AI · Accepted Answer

1. Compute the first division:
   $$
   \frac{0.5}{0.35} = \frac{50}{35} = \frac{10}{7} \approx 1.42857
   $$

2. Multiply by $$0.85$$:
   $$
   \frac{10}{7} \times 0.85 = \frac{8.5}{7} \approx 1.21429
   $$

3. The equation is given as:
   $$
   \frac{0.5}{0.35} \times \frac{0.85}{1} = \frac{1}{x}
   $$
   Setting the product equal to $$\frac{1}{x}$$:
   $$
   \frac{1}{x} \approx 1.21429
   $$
   Solve for $$x$$:
   $$
   x = \frac{1}{1.21429} \approx 0.82353
   $$

4. Rounding to the nearest hundredth:
   $$
   x \approx 0.82
   $$

Thus, the answer is $$0.82$$.
$$ x \approx 0.82 $$

Express your answer to the nearest hundredth.

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