Infinite Continued Fractions Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Find the simple continued fraction of the real number .

(2) Find the simple continued fraction of the real number .

(3) Find the simple continued fraction of the real number .

(4) Find the simple continued fraction of the real number .

(5) Find the first five partial quotients of the simple continued fractions of the real number .

(6) Find the first five partial quotients of the simple continued fractions of the real number .

(7) Find the first five partial quotients of the simple continued fractions of the real number .

(8) Find the first five partial quotients of the simple continued fractions of the real number .

(9) Find the best rational approximation to with a denominator less than or equal to 100,000.

(10) Find the best rational approximation to with a denominator less than or equal to 536.

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