4.5.4 Repeating Decimals in Other Bases - Keeping Same Base

If the problem asks you to keep the same base:

The Procedure

  1. Convert the repeating decimal to base-10 (Section 4.5.3)
  2. Reduce the fraction if possible
  3. Convert both numerator and denominator back to the original base

Problem Set 4.5.4

Practice these problems. Type your answer and press Enter to check:

0.444...₈ to base-8 fraction
0.444...₉ to base-9 fraction
0.333...₈ to base-8 fraction
0.444...₇ to base-7 fraction
0.777...₉ to base-9 fraction
0.3131...₅ to base-5 fraction
0.3444...₆ to base-6 fraction
0.4777...₈ to base-8 fraction
0.3222...₇ to base-7 fraction
0.1666...₈ to base-8 fraction
0.3444...₇ to base-7 fraction
0.2323...₅ to base-5 fraction
0.1313...₅ to base-5 fraction
0.1444...₆ to base-6 fraction