Engineering Board Exam Reviewer · Sequences and Series · medium

Express the repeating decimal 0.363636 as a common fraction in lowest terms.

  1. 4/11
  2. 3/11
  3. 9/25
  4. 5/11

Answer

A. 4/11

Solution

Let N=0. 36. Then 100N=36. 36, so 99N=36 N=36/99=4/11.

More Sequences and Series questions

  1. Insert 4 arithmetic means between 5 and 30. What is the third mean?
  2. Find the 15th term of the arithmetic sequence 7, 11, 15,
  3. Solve for x in the following equation: x+4x+7x+·s+64x=1430.
  4. The seating section in a Coliseum has 30 seats in the first row, 32 seats in the second row, 34 seats in the third row, and so on, until…
  5. Find the 100th term of the sequence 1.01, 1.00, 0.99,
  6. Determine x, so that x, 2x+7, 10x-7 will form a geometric progression.
  7. If one third of the air in a tank is removed by each stroke of an air pump, what fractional part of the total air is removed in 6 strokes?
  8. If the 1st term of the geometric progression is 27 and the 4th term is -1, the third term is:
  9. Find the ratio of an infinite geometric series if the sum is 2 and the first term is 1/2.
  10. A piece of paper is 0.05 inches thick. Each time the paper is folded into half, the thickness is doubled. If the paper was folded 12…

All Sequences and Series questions